{"id":920,"date":"2026-10-03T17:51:09","date_gmt":"2026-10-03T17:51:09","guid":{"rendered":"https:\/\/statacademy-eg.com\/blogs\/?p=920"},"modified":"2026-10-03T17:59:45","modified_gmt":"2026-10-03T17:59:45","slug":"%d9%81%d8%aa%d8%b1%d8%a9-%d8%a7%d9%84%d8%aa%d9%86%d8%a8%d8%a4-prediction-interval","status":"publish","type":"post","link":"https:\/\/statacademy-eg.com\/blogs\/%d9%81%d8%aa%d8%b1%d8%a9-%d8%a7%d9%84%d8%aa%d9%86%d8%a8%d8%a4-prediction-interval\/","title":{"rendered":"\u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 (Prediction Interval): \u0645\u0641\u0647\u0648\u0645\u0647\u0627 \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0627\u062a\u0647\u0627 \u0641\u064a \u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a"},"content":{"rendered":"<p class=\"PDq2pG_selectionAnchorContainer\" dir=\"auto\" data-section-id=\"1x2o5mp\" data-start=\"0\" data-end=\"77\">\u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 (Prediction Interval): \u0645\u0641\u0647\u0648\u0645\u0647\u0627 \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0627\u062a\u0647\u0627 \u0641\u064a \u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a<\/p>\n<p dir=\"auto\" data-start=\"79\" data-end=\"335\">\u062a\u064f\u0639\u062f <strong data-start=\"84\" data-end=\"121\">\u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 (Prediction Interval)<\/strong> \u0645\u0646 \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0645\u0647\u0645\u0629 \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0621 \u0648\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a\u060c \u062e\u0627\u0635\u0629 \u0639\u0646\u062f \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0648\u0627\u0644\u062a\u0646\u0628\u0624 \u0628\u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629. \u0648\u062a\u0633\u0627\u0639\u062f \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0627\u0644\u0628\u0627\u062d\u062b \u0639\u0644\u0649 \u062a\u062d\u062f\u064a\u062f <strong data-start=\"264\" data-end=\"316\">\u0646\u0637\u0627\u0642 \u0645\u062a\u0648\u0642\u0639 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0642\u0639 \u062f\u0627\u062e\u0644\u0647 \u0642\u064a\u0645\u0629 \u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629 \u062c\u062f\u064a\u062f\u0629<\/strong> \u0645\u0639 \u0645\u0633\u062a\u0648\u0649 \u062b\u0642\u0629 \u0645\u062d\u062f\u062f.<\/p>\n<p dir=\"auto\" data-start=\"337\" data-end=\"487\">\u0648\u064a\u062e\u062a\u0644\u0641 \u0645\u0641\u0647\u0648\u0645 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0639\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062b\u0642\u0629 (Confidence Interval)\u060c \u0631\u063a\u0645 \u0648\u062c\u0648\u062f \u062a\u0634\u0627\u0628\u0647 \u0628\u064a\u0646\u0647\u0645\u0627\u060c \u0648\u0644\u0630\u0644\u0643 \u0645\u0646 \u0627\u0644\u0645\u0647\u0645 \u0641\u0647\u0645 \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646\u0647\u0645\u0627 \u0639\u0646\u062f \u062a\u0641\u0633\u064a\u0631 \u0646\u062a\u0627\u0626\u062c \u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a.<\/p>\n<h2 dir=\"auto\" data-section-id=\"15jxusd\" data-start=\"489\" data-end=\"542\"><span role=\"text\"><strong data-start=\"492\" data-end=\"542\">\u0645\u0627 \u0627\u0644\u0645\u0642\u0635\u0648\u062f \u0628\u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 (Prediction Interval)\u061f<\/strong><\/span><\/h2>\n<p dir=\"auto\" data-start=\"544\" data-end=\"706\">\u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0647\u064a <strong data-start=\"559\" data-end=\"651\">\u0646\u0637\u0627\u0642 \u0625\u062d\u0635\u0627\u0626\u064a \u064a\u064f\u0633\u062a\u062e\u062f\u0645 \u0644\u062a\u0642\u062f\u064a\u0631 \u0627\u0644\u0645\u0643\u0627\u0646 \u0627\u0644\u0645\u062a\u0648\u0642\u0639 \u0623\u0646 \u062a\u0642\u0639 \u0641\u064a\u0647 \u0642\u064a\u0645\u0629 \u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629 \u0623\u0648 \u0645\u0644\u0627\u062d\u0638\u0629 \u0641\u0631\u062f\u064a\u0629 \u062c\u062f\u064a\u062f\u0629<\/strong> \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u062a\u0627\u062d\u0629 \u0648\u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645.<\/p>\n<p dir=\"auto\" data-start=\"708\" data-end=\"866\">\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0625\u0630\u0627 \u0627\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0628\u0627\u062d\u062b \u0646\u0645\u0648\u0630\u062c\u064b\u0627 \u0625\u062d\u0635\u0627\u0626\u064a\u064b\u0627 \u0644\u0644\u062a\u0646\u0628\u0624 \u0628\u062f\u0631\u062c\u0629 \u0637\u0627\u0644\u0628 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0639\u062f\u062f \u0633\u0627\u0639\u0627\u062a \u0627\u0644\u0645\u0630\u0627\u0643\u0631\u0629\u060c \u0641\u0642\u062f \u064a\u0639\u0637\u064a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u062a\u0648\u0642\u0639\u064b\u0627 \u0628\u0623\u0646 \u062f\u0631\u062c\u0629 \u0627\u0644\u0637\u0627\u0644\u0628 \u0633\u062a\u0643\u0648\u0646 <strong data-start=\"854\" data-end=\"865\">80 \u062f\u0631\u062c\u0629<\/strong>.<\/p>\n<p dir=\"auto\" data-start=\"868\" data-end=\"967\">\u0644\u0643\u0646 \u0627\u0644\u062a\u0646\u0628\u0624 \u0644\u0627 \u064a\u0639\u0646\u064a \u0628\u0627\u0644\u0636\u0631\u0648\u0631\u0629 \u0623\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0633\u062a\u0643\u0648\u0646 80 \u0628\u0627\u0644\u0636\u0628\u0637\u060c \u0648\u0644\u0630\u0644\u0643 \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624\u060c \u0645\u062b\u0644:<\/p>\n<p dir=\"auto\" data-start=\"969\" data-end=\"986\"><strong data-start=\"969\" data-end=\"986\">80 \u00b1 10 \u062f\u0631\u062c\u0627\u062a<\/strong><\/p>\n<p dir=\"auto\" data-start=\"988\" data-end=\"1052\">\u0623\u064a \u0623\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0639\u0646\u062f \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0645\u062d\u062f\u062f \u062a\u0645\u062a\u062f \u0645\u0646 <strong data-start=\"1033\" data-end=\"1051\">70 \u0625\u0644\u0649 90 \u062f\u0631\u062c\u0629<\/strong>.<\/p>\n<p dir=\"auto\" data-start=\"1054\" data-end=\"1122\">\u0648\u062a\u0639\u0643\u0633 \u0647\u0630\u0647 \u0627\u0644\u0641\u062a\u0631\u0629 \u0645\u0642\u062f\u0627\u0631 \u0639\u062f\u0645 \u0627\u0644\u064a\u0642\u064a\u0646 \u0627\u0644\u0645\u0631\u062a\u0628\u0637 \u0628\u0627\u0644\u062a\u0646\u0628\u0624 \u0628\u0642\u064a\u0645\u0629 \u0641\u0631\u062f\u064a\u0629 \u062c\u062f\u064a\u062f\u0629.<\/p>\n<h2 dir=\"auto\" data-section-id=\"1rpv18g\" data-start=\"1124\" data-end=\"1156\"><span role=\"text\"><strong data-start=\"1127\" data-end=\"1156\">\u0644\u0645\u0627\u0630\u0627 \u0646\u0633\u062a\u062e\u062f\u0645 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624\u061f<\/strong><\/span><\/h2>\n<p dir=\"auto\" data-start=\"1158\" data-end=\"1261\">\u0644\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u062a\u0646\u0628\u0624\u0627\u062a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0645\u0624\u0643\u062f\u0629 \u0628\u0634\u0643\u0644 \u0643\u0627\u0645\u0644\u060c \u0644\u0623\u0646 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0648\u0627\u0642\u0639\u064a\u0629 \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0642\u062f\u0631 \u0645\u0646 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0648\u0639\u062f\u0645 \u0627\u0644\u064a\u0642\u064a\u0646.<\/p>\n<p dir=\"auto\" data-start=\"1263\" data-end=\"1289\">\u0644\u0630\u0644\u0643 \u062a\u0633\u0627\u0639\u062f \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0641\u064a:<\/p>\n<ul data-start=\"1291\" data-end=\"1513\">\n<li data-section-id=\"154a9e\" data-start=\"1291\" data-end=\"1340\">\u062a\u0642\u062f\u064a\u0631 \u0646\u0637\u0627\u0642 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0638\u0647\u0631 \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644.<\/li>\n<li data-section-id=\"ox520n\" data-start=\"1341\" data-end=\"1375\">\u0642\u064a\u0627\u0633 \u062f\u0631\u062c\u0629 \u0639\u062f\u0645 \u0627\u0644\u064a\u0642\u064a\u0646 \u062d\u0648\u0644 \u0627\u0644\u062a\u0646\u0628\u0624.<\/li>\n<li data-section-id=\"1rdpw3u\" data-start=\"1376\" data-end=\"1423\">\u062a\u0641\u0633\u064a\u0631 \u0646\u062a\u0627\u0626\u062c \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0628\u0635\u0648\u0631\u0629 \u0623\u0643\u062b\u0631 \u0648\u0627\u0642\u0639\u064a\u0629.<\/li>\n<li data-section-id=\"10naype\" data-start=\"1424\" data-end=\"1475\">\u062f\u0639\u0645 \u0627\u062a\u062e\u0627\u0630 \u0627\u0644\u0642\u0631\u0627\u0631\u0627\u062a \u0627\u0644\u0645\u0628\u0646\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0629.<\/li>\n<li data-section-id=\"tiu1n5\" data-start=\"1476\" data-end=\"1513\">\u062a\u062d\u062f\u064a\u062f \u0646\u0637\u0627\u0642 \u0645\u062a\u0648\u0642\u0639 \u0644\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0627\u0644\u062c\u062f\u064a\u062f\u0629.<\/li>\n<\/ul>\n<h2 dir=\"auto\" data-section-id=\"pz2ji7\" data-start=\"1515\" data-end=\"1551\"><span role=\"text\"><strong data-start=\"1518\" data-end=\"1551\">\u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0641\u064a \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631<\/strong><\/span><\/h2>\n<p dir=\"auto\" data-start=\"1553\" data-end=\"1616\">\u062a\u0638\u0647\u0631 \u0623\u0647\u0645\u064a\u0629 Prediction Interval \u0628\u0634\u0643\u0644 \u0648\u0627\u0636\u062d \u0641\u064a <strong data-start=\"1597\" data-end=\"1615\">\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631<\/strong>.<\/p>\n<p dir=\"auto\" data-start=\"1618\" data-end=\"1650\">\u0641\u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0646\u0627 \u0646\u0645\u0648\u0630\u062c \u0627\u0646\u062d\u062f\u0627\u0631 \u062e\u0637\u064a:<\/p>\n<p><strong><span class=\"katex\">Y= \u03b20 +\u03b21X + \u03f5Y\u00a0<\/span><\/strong><\/p>\n<p dir=\"auto\" data-start=\"1693\" data-end=\"1784\">\u0641\u0625\u0646 \u0627\u0644\u0628\u0627\u062d\u062b \u064a\u0633\u062a\u0637\u064a\u0639 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0644\u0644\u062a\u0646\u0628\u0624 \u0628\u0642\u064a\u0645\u0629 \u062c\u062f\u064a\u062f\u0629 \u0644\u0640 <span class=\"katex\">YY<\/span> \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0642\u064a\u0645\u0629 <span class=\"katex\">XX<\/span> \u0645\u0639\u0631\u0648\u0641\u0629.<\/p>\n<p dir=\"auto\" data-start=\"1786\" data-end=\"1902\">\u0644\u0643\u0646 \u062a\u0648\u062c\u062f \u0639\u062f\u0629 \u0645\u0635\u0627\u062f\u0631 \u0644\u0639\u062f\u0645 \u0627\u0644\u064a\u0642\u064a\u0646\u060c \u0645\u0646\u0647\u0627 \u0639\u062f\u0645 \u062f\u0642\u0629 \u062a\u0642\u062f\u064a\u0631 \u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a \u0644\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0627\u0644\u0641\u0631\u062f\u064a\u0629.<\/p>\n<p dir=\"auto\" data-start=\"1904\" data-end=\"1973\">\u0648\u0644\u0647\u0630\u0627 \u062a\u0643\u0648\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0639\u0627\u062f\u0629\u064b <strong data-start=\"1933\" data-end=\"1972\">\u0623\u0648\u0633\u0639 \u0645\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062b\u0642\u0629 \u0644\u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629<\/strong>.<\/p>\n<h2 dir=\"auto\" data-section-id=\"1f3r2ms\" data-start=\"1975\" data-end=\"2036\"><span role=\"text\"><strong data-start=\"1978\" data-end=\"2036\">\u0645\u0627 \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 Prediction Interval \u0648Confidence Interval\u061f<\/strong><\/span><\/h2>\n<p dir=\"auto\" data-start=\"2038\" data-end=\"2095\">\u0645\u0646 \u0623\u0643\u062b\u0631 \u0627\u0644\u0623\u062e\u0637\u0627\u0621 \u0634\u064a\u0648\u0639\u064b\u0627 \u0627\u0644\u062e\u0644\u0637 \u0628\u064a\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0648\u0641\u062a\u0631\u0629 \u0627\u0644\u062b\u0642\u0629.<\/p>\n<p dir=\"auto\" data-start=\"2097\" data-end=\"2233\"><a href=\"https:\/\/statacademy-eg.com\/blogs\/%d9%81%d8%aa%d8%b1%d8%a9-%d8%a7%d9%84%d8%ab%d9%82%d8%a9-confidence-interval\/\"><strong data-start=\"2097\" data-end=\"2133\">\u0641\u062a\u0631\u0629 \u0627\u0644\u062b\u0642\u0629 (Confidence Interval)<\/strong><\/a> \u062a\u064f\u0633\u062a\u062e\u062f\u0645 \u0644\u062a\u0642\u062f\u064a\u0631 \u0646\u0637\u0627\u0642 \u064a\u064f\u062d\u062a\u0645\u0644 \u0623\u0646 \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 <strong data-start=\"2174\" data-end=\"2198\">\u0645\u062a\u0648\u0633\u0637 \u0642\u064a\u0645\u0629 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629<\/strong> \u0639\u0646\u062f \u0642\u064a\u0645\u0629 \u0645\u0639\u064a\u0646\u0629 \u0645\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u0633\u062a\u0642\u0644.<\/p>\n<p dir=\"auto\" data-start=\"2235\" data-end=\"2339\">\u0623\u0645\u0627 <strong data-start=\"2239\" data-end=\"2276\">\u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 (Prediction Interval)<\/strong> \u0641\u062a\u064f\u0633\u062a\u062e\u062f\u0645 \u0644\u062a\u0642\u062f\u064a\u0631 \u0646\u0637\u0627\u0642 \u064a\u064f\u062d\u062a\u0645\u0644 \u0623\u0646 \u062a\u0642\u0639 \u062f\u0627\u062e\u0644\u0647 <strong data-start=\"2318\" data-end=\"2338\">\u0642\u064a\u0645\u0629 \u0641\u0631\u062f\u064a\u0629 \u062c\u062f\u064a\u062f\u0629<\/strong>.<\/p>\n<p dir=\"auto\" data-start=\"2341\" data-end=\"2352\">\u0628\u0645\u0639\u0646\u0649 \u0623\u0628\u0633\u0637:<\/p>\n<ul data-start=\"2354\" data-end=\"2481\">\n<li data-section-id=\"vd716b\" data-start=\"2354\" data-end=\"2416\"><strong data-start=\"2356\" data-end=\"2380\">Confidence Interval:<\/strong> \u0623\u064a\u0646 \u064a\u064f\u062a\u0648\u0642\u0639 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629\u061f<\/li>\n<li data-section-id=\"1ddu421\" data-start=\"2417\" data-end=\"2481\"><strong data-start=\"2419\" data-end=\"2443\">Prediction Interval:<\/strong> \u0623\u064a\u0646 \u064a\u064f\u062a\u0648\u0642\u0639 \u0623\u0646 \u062a\u0642\u0639 \u0645\u0644\u0627\u062d\u0638\u0629 \u0641\u0631\u062f\u064a\u0629 \u062c\u062f\u064a\u062f\u0629\u061f<\/li>\n<\/ul>\n<p dir=\"auto\" data-start=\"2483\" data-end=\"2537\">\u0648\u0644\u0647\u0630\u0627 \u0627\u0644\u0633\u0628\u0628 \u062a\u0643\u0648\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0623\u0648\u0633\u0639 \u0639\u0627\u062f\u0629\u064b \u0645\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062b\u0642\u0629.<\/p>\n<h2 dir=\"auto\" data-section-id=\"4of03p\" data-start=\"2539\" data-end=\"2571\"><span role=\"text\"><strong data-start=\"2542\" data-end=\"2571\">\u0645\u062b\u0627\u0644 \u0645\u0628\u0633\u0637 \u0639\u0644\u0649 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624<\/strong><\/span><\/h2>\n<p dir=\"auto\" data-start=\"2573\" data-end=\"2654\">\u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0627\u0644\u0628\u0627\u062d\u062b \u0623\u0646\u0634\u0623 \u0646\u0645\u0648\u0630\u062c\u064b\u0627 \u0644\u0644\u062a\u0646\u0628\u0624 \u0628\u0645\u0628\u064a\u0639\u0627\u062a \u0645\u062a\u062c\u0631 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u062d\u062c\u0645 \u0627\u0644\u0625\u0646\u0641\u0627\u0642 \u0627\u0644\u0625\u0639\u0644\u0627\u0646\u064a.<\/p>\n<p dir=\"auto\" data-start=\"2656\" data-end=\"2724\">\u0639\u0646\u062f \u0645\u0633\u062a\u0648\u0649 \u0625\u0646\u0641\u0627\u0642 \u0625\u0639\u0644\u0627\u0646\u064a \u0645\u0639\u064a\u0646\u060c \u0623\u0639\u0637\u0649 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u062a\u0648\u0642\u0639\u064b\u0627 \u0628\u0623\u0646 \u0627\u0644\u0645\u0628\u064a\u0639\u0627\u062a \u0633\u062a\u0643\u0648\u0646:<\/p>\n<p dir=\"auto\" data-start=\"2726\" data-end=\"2741\"><strong data-start=\"2726\" data-end=\"2741\">50 \u0623\u0644\u0641 \u062c\u0646\u064a\u0647<\/strong><\/p>\n<p dir=\"auto\" data-start=\"2743\" data-end=\"2779\">\u0648\u0643\u0627\u0646\u062a \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0639\u0646\u062f \u0645\u0633\u062a\u0648\u0649 \u062b\u0642\u0629 95%:<\/p>\n<p dir=\"auto\" data-start=\"2781\" data-end=\"2805\"><strong data-start=\"2781\" data-end=\"2805\">40 \u0623\u0644\u0641 \u2013 60 \u0623\u0644\u0641 \u062c\u0646\u064a\u0647<\/strong><\/p>\n<p dir=\"auto\" data-start=\"2807\" data-end=\"2931\">\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u064a\u0642\u062f\u0631 \u0623\u0646 \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0628\u064a\u0639\u0627\u062a \u0644\u0645\u0644\u0627\u062d\u0638\u0629 \u062c\u062f\u064a\u062f\u0629 \u0639\u0646\u062f \u0646\u0641\u0633 \u0627\u0644\u0638\u0631\u0648\u0641 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0642\u0639 \u0636\u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u0646\u0637\u0627\u0642 \u0648\u0641\u0642 \u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062a\u0646\u0628\u0624 \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645.<\/p>\n<p dir=\"auto\" data-start=\"2933\" data-end=\"3081\">\u0648\u0644\u0627 \u064a\u0639\u0646\u064a \u0630\u0644\u0643 \u0623\u0646 \u0647\u0646\u0627\u0643 \u0627\u062d\u062a\u0645\u0627\u0644\u064b\u0627 \u0645\u0637\u0644\u0642\u064b\u0627 \u0628\u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0628\u064a\u0639\u0627\u062a \u062f\u0627\u062e\u0644 \u0627\u0644\u0646\u0637\u0627\u0642 \u0641\u064a \u0643\u0644 \u0645\u0631\u0629\u060c \u0648\u0625\u0646\u0645\u0627 \u064a\u0645\u062b\u0644 \u0627\u0644\u0646\u0637\u0627\u0642 \u0646\u062a\u064a\u062c\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0645\u0628\u0646\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0648\u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u0629.<\/p>\n<h2 class=\"PDq2pG_selectionAnchorContainer\" dir=\"auto\" data-section-id=\"1brmxx2\" data-start=\"3083\" data-end=\"3115\"><span role=\"text\"><strong data-start=\"3086\" data-end=\"3115\">\u0643\u064a\u0641 \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624\u061f<\/strong><\/span><\/h2>\n<div class=\"prediction-formula-box\">\n<h4>\u0645\u0639\u0627\u062f\u0644\u0629 \u062d\u0633\u0627\u0628 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 (Prediction Interval)<\/h4>\n<div class=\"math-equation\">y\u0302 \u00b1 t<sub>\u03b1\/2<\/sub> \u00d7 s \u00d7<br \/>\n\u221a<span class=\"sqrt\">1 + <span style=\"font-size: 14px;\">1<\/span>\/<span style=\"font-size: 14px; border-top: 1px solid #333; display: inline-block;\">n<\/span> + <span style=\"font-size: 14px;\">(x<sub>0<\/sub> &#8211; x\u0305)<sup>2<\/sup><\/span>\/<span style=\"font-size: 14px; border-top: 1px solid #333; display: inline-block;\">\u2211(x<sub>i<\/sub> &#8211; x\u0305)<sup>2<\/sup><\/span><\/span><\/div>\n<\/div>\n<p dir=\"auto\" data-start=\"3117\" data-end=\"3186\">\u0641\u064a \u062d\u0627\u0644\u0629 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0628\u0633\u064a\u0637\u060c \u062a\u0639\u062a\u0645\u062f \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0639\u0644\u0649 \u0639\u062f\u0629 \u0639\u0646\u0627\u0635\u0631\u060c \u0645\u0646\u0647\u0627:<\/p>\n<ul data-start=\"3188\" data-end=\"3320\">\n<li data-section-id=\"k4fu3k\" data-start=\"3188\" data-end=\"3217\">\u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0648\u0630\u062c.<\/li>\n<li data-section-id=\"m0jh4t\" data-start=\"3218\" data-end=\"3231\">\u062d\u062c\u0645 \u0627\u0644\u0639\u064a\u0646\u0629.<\/li>\n<li data-section-id=\"19rno6o\" data-start=\"3232\" data-end=\"3248\">\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0623\u062e\u0637\u0627\u0621.<\/li>\n<li data-section-id=\"14eaopb\" data-start=\"3249\" data-end=\"3278\">\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u0633\u062a\u0642\u0644 <span class=\"katex\">XX<\/span>.<\/li>\n<li data-section-id=\"1p36khd\" data-start=\"3279\" data-end=\"3297\">\u0645\u062a\u0648\u0633\u0637 \u0642\u064a\u0645 <span class=\"katex\">XX<\/span>.<\/li>\n<li data-section-id=\"1nvo19\" data-start=\"3298\" data-end=\"3320\">\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062b\u0642\u0629 \u0627\u0644\u0645\u0637\u0644\u0648\u0628.<\/li>\n<\/ul>\n<p dir=\"auto\" data-start=\"3481\" data-end=\"3485\">\u062d\u064a\u062b:<\/p>\n<ul data-start=\"3487\" data-end=\"3710\">\n<li data-section-id=\"uvk1du\" data-start=\"3487\" data-end=\"3523\"><strong><span class=\"katex\">y^0<\/span><\/strong>: \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u062a\u0646\u0628\u0623 \u0628\u0647\u0627.<\/li>\n<li data-section-id=\"xtjlog\" data-start=\"3524\" data-end=\"3558\"><strong><span class=\"katex\">t<\/span><\/strong>: \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 \u0645\u0646 \u062a\u0648\u0632\u064a\u0639 T.<\/li>\n<li data-section-id=\"yzzi4p\" data-start=\"3559\" data-end=\"3591\"><strong><span class=\"katex\">s<\/span><\/strong>: \u0627\u0644\u062e\u0637\u0623 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a \u0644\u0644\u0646\u0645\u0648\u0630\u062c.<\/li>\n<li data-section-id=\"oeuu5k\" data-start=\"3592\" data-end=\"3612\"><strong><span class=\"katex\">n<\/span><\/strong>: \u062d\u062c\u0645 \u0627\u0644\u0639\u064a\u0646\u0629.<\/li>\n<li data-section-id=\"1r25ym0\" data-start=\"3613\" data-end=\"3668\"><strong><span class=\"katex\">x0<\/span><\/strong>: \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u0633\u062a\u0642\u0644 \u0627\u0644\u062a\u064a \u0646\u0631\u064a\u062f \u0627\u0644\u062a\u0646\u0628\u0624 \u0639\u0646\u062f\u0647\u0627.<\/li>\n<li data-section-id=\"38sg1g\" data-start=\"3669\" data-end=\"3710\"><strong><span class=\"katex\">x\u02c9<\/span><\/strong>: \u0645\u062a\u0648\u0633\u0637 \u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u0633\u062a\u0642\u0644.<\/li>\n<\/ul>\n<p dir=\"auto\" data-start=\"3712\" data-end=\"3873\">\u0648\u064a\u064f\u0644\u0627\u062d\u0638 \u0648\u062c\u0648\u062f \u0627\u0644\u0631\u0642\u0645 <strong data-start=\"3731\" data-end=\"3736\">1<\/strong> \u062f\u0627\u062e\u0644 \u0627\u0644\u062c\u0630\u0631\u060c \u0648\u0647\u0648 \u0645\u0627 \u064a\u0639\u0643\u0633 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0625\u0636\u0627\u0641\u064a \u0627\u0644\u0645\u0631\u062a\u0628\u0637 \u0628\u0627\u0644\u062a\u0646\u0628\u0624 \u0628\u0645\u0644\u0627\u062d\u0638\u0629 \u0641\u0631\u062f\u064a\u0629 \u062c\u062f\u064a\u062f\u0629\u060c \u0648\u0644\u0630\u0644\u0643 \u062a\u0643\u0648\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0623\u0648\u0633\u0639 \u0645\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062b\u0642\u0629 \u0644\u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629.<\/p>\n<h3 dir=\"auto\" data-section-id=\"zw37al\" data-start=\"1068\" data-end=\"1118\"><span role=\"text\"><strong data-start=\"1072\" data-end=\"1118\">\u0644\u0645\u0627\u0630\u0627 \u062a\u0643\u0648\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0623\u0648\u0633\u0639 \u0645\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062b\u0642\u0629\u061f<\/strong><\/span><\/h3>\n<p dir=\"auto\" data-start=\"1120\" data-end=\"1270\">\u0639\u0646\u062f \u0627\u0644\u062a\u0646\u0628\u0624 \u0628\u0642\u064a\u0645\u0629 \u0641\u0631\u062f\u064a\u0629 \u062c\u062f\u064a\u062f\u0629\u060c \u0644\u0627 \u0646\u0639\u062a\u0645\u062f \u0641\u0642\u0637 \u0639\u0644\u0649 \u0639\u062f\u0645 \u0627\u0644\u064a\u0642\u064a\u0646 \u0641\u064a \u062a\u0642\u062f\u064a\u0631 \u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629\u060c \u0648\u0644\u0643\u0646 \u0646\u0623\u062e\u0630 \u0623\u064a\u0636\u064b\u0627 \u0641\u064a \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 <strong data-start=\"1232\" data-end=\"1269\">\u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0628\u064a\u0646 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0641\u0631\u062f\u064a\u0629<\/strong>.<\/p>\n<p dir=\"auto\" data-start=\"1272\" data-end=\"1351\">\u0644\u0630\u0644\u0643 \u062a\u0643\u0648\u0646 <strong data-start=\"1282\" data-end=\"1322\">\u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0639\u0627\u062f\u0629\u064b \u0623\u0648\u0633\u0639 \u0645\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062b\u0642\u0629<\/strong> \u0639\u0646\u062f \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0641\u0633 \u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062b\u0642\u0629.<\/p>\n<h2 dir=\"auto\" data-section-id=\"8act97\" data-start=\"3875\" data-end=\"3919\"><span role=\"text\"><strong data-start=\"3878\" data-end=\"3919\">\u0645\u0627 \u062a\u0623\u062b\u064a\u0631 \u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062b\u0642\u0629 \u0639\u0644\u0649 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624\u061f<\/strong><\/span><\/h2>\n<p dir=\"auto\" data-start=\"3921\" data-end=\"3978\">\u0643\u0644\u0645\u0627 \u0632\u0627\u062f \u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062b\u0642\u0629 \u0627\u0644\u0645\u0637\u0644\u0648\u0628\u060c \u0623\u0635\u0628\u062d \u0646\u0637\u0627\u0642 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0623\u0648\u0633\u0639.<\/p>\n<p dir=\"auto\" data-start=\"3980\" data-end=\"4105\">\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0642\u062f \u062a\u0643\u0648\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0639\u0646\u062f \u0645\u0633\u062a\u0648\u0649 \u062b\u0642\u0629 90% \u0623\u0636\u064a\u0642 \u0645\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0639\u0646\u062f \u0645\u0633\u062a\u0648\u0649 \u062b\u0642\u0629 95%\u060c \u0628\u064a\u0646\u0645\u0627 \u062a\u0643\u0648\u0646 \u0641\u062a\u0631\u0629 99% \u0623\u0648\u0633\u0639 \u0639\u0627\u062f\u0629\u064b.<\/p>\n<p dir=\"auto\" data-start=\"4107\" data-end=\"4160\">\u0648\u0647\u0630\u0627 \u064a\u0639\u0643\u0633 \u0627\u0644\u0645\u0641\u0627\u0636\u0644\u0629 \u0628\u064a\u0646 <strong data-start=\"4130\" data-end=\"4159\">\u0627\u062a\u0633\u0627\u0639 \u0627\u0644\u0646\u0637\u0627\u0642 \u0648\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062b\u0642\u0629<\/strong>.<\/p>\n<h2 dir=\"auto\" data-section-id=\"kdj9s7\" data-start=\"4162\" data-end=\"4196\"><span role=\"text\"><strong data-start=\"4165\" data-end=\"4196\">\u0645\u062a\u0649 \u062a\u0643\u0648\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0648\u0627\u0633\u0639\u0629\u061f<\/strong><\/span><\/h2>\n<p dir=\"auto\" data-start=\"4198\" data-end=\"4299\">\u0642\u062f \u062a\u0635\u0628\u062d \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0648\u0627\u0633\u0639\u0629 \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u0647\u0646\u0627\u0643 \u0642\u062f\u0631 \u0643\u0628\u064a\u0631 \u0645\u0646 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0641\u064a \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0623\u0648 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0639\u064a\u0646\u0629 \u0635\u063a\u064a\u0631\u0629.<\/p>\n<p dir=\"auto\" data-start=\"4301\" data-end=\"4388\">\u0643\u0645\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u062a\u0633\u0639 \u0627\u0644\u0641\u062a\u0631\u0629 \u0639\u0646\u062f \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u062a\u0646\u0628\u0624 \u0644\u0642\u064a\u0645\u0629 \u062a\u0642\u0639 \u0628\u0639\u064a\u062f\u064b\u0627 \u0639\u0646 \u0645\u062a\u0648\u0633\u0637 \u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u0633\u062a\u0642\u0644.<\/p>\n<p dir=\"auto\" data-start=\"4390\" data-end=\"4489\">\u0644\u0630\u0644\u0643 \u0644\u0627 \u064a\u0646\u0628\u063a\u064a \u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u062a\u0646\u0628\u0624 \u0628\u0645\u0639\u0632\u0644 \u0639\u0646 \u062c\u0648\u062f\u0629 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0648\u062d\u062c\u0645 \u0627\u0644\u0639\u064a\u0646\u0629 \u0648\u0645\u062f\u0649 \u0645\u0644\u0627\u0621\u0645\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0644\u0644\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645.<\/p>\n<h2 dir=\"auto\" data-section-id=\"1kow6kj\" data-start=\"4491\" data-end=\"4523\"><span role=\"text\"><strong data-start=\"4494\" data-end=\"4523\">\u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 SPSS<\/strong><\/span><\/h2>\n<p dir=\"auto\" data-start=\"4525\" data-end=\"4598\">\u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628 \u0648\u0641\u062d\u0635 \u0641\u062a\u0631\u0627\u062a \u0627\u0644\u062a\u0646\u0628\u0624 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0628\u0631\u0627\u0645\u062c \u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a \u0645\u062b\u0644 <strong data-start=\"4589\" data-end=\"4597\">SPSS<\/strong>.<\/p>\n<p dir=\"auto\" data-start=\"4600\" data-end=\"4764\">\u0648\u0639\u0646\u062f \u0625\u062c\u0631\u0627\u0621 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0641\u064a SPSS\u060c \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062e\u064a\u0627\u0631\u0627\u062a \u0627\u0644\u062a\u0646\u0628\u0624 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \u0648\u062d\u062f\u0648\u062f \u0627\u0644\u062a\u0646\u0628\u0624\u060c \u062b\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0641\u064a \u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0648\u0643\u062a\u0627\u0628\u0629 \u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0628\u062d\u062b \u0627\u0644\u0639\u0644\u0645\u064a.<\/p>\n<p dir=\"auto\" data-start=\"4766\" data-end=\"4890\">\u0648\u064a\u062c\u0628 \u0639\u0646\u062f \u0639\u0631\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u062a\u0648\u0636\u064a\u062d \u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062b\u0642\u0629 \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0641\u062a\u0631\u0629 \u0641\u064a \u0633\u064a\u0627\u0642 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0627\u0644\u0628\u062d\u062b\u064a\u0629 \u0628\u062f\u0644\u064b\u0627 \u0645\u0646 \u0639\u0631\u0636 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0641\u0642\u0637.<\/p>\n<h2 dir=\"auto\" data-section-id=\"nfirzu\" data-start=\"4892\" data-end=\"4940\"><span role=\"text\"><strong data-start=\"4895\" data-end=\"4940\">\u0623\u0647\u0645\u064a\u0629 Prediction Interval \u0641\u064a \u0627\u0644\u0628\u062d\u062b \u0627\u0644\u0639\u0644\u0645\u064a<\/strong><\/span><\/h2>\n<p dir=\"auto\" data-start=\"4942\" data-end=\"5047\">\u062a\u0632\u062f\u0627\u062f \u0623\u0647\u0645\u064a\u0629 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0641\u064a \u0627\u0644\u062f\u0631\u0627\u0633\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0647\u062f\u0641 \u0625\u0644\u0649 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0648\u0630\u062c \u0625\u062d\u0635\u0627\u0626\u064a \u0644\u0644\u062a\u0646\u0628\u0624 \u0628\u0642\u064a\u0645 \u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629 \u0623\u0648 \u0642\u064a\u0645 \u062c\u062f\u064a\u062f\u0629.<\/p>\n<p dir=\"auto\" data-start=\"5049\" data-end=\"5092\">\u0648\u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0641\u064a \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0645\u062c\u0627\u0644\u0627\u062a\u060c \u0645\u062b\u0644:<\/p>\n<ul data-start=\"5094\" data-end=\"5232\">\n<li data-section-id=\"5l9jwd\" data-start=\"5094\" data-end=\"5112\">\u0627\u0644\u062f\u0631\u0627\u0633\u0627\u062a \u0627\u0644\u0637\u0628\u064a\u0629.<\/li>\n<li data-section-id=\"52d0k5\" data-start=\"5113\" data-end=\"5139\">\u0627\u0644\u0627\u0642\u062a\u0635\u0627\u062f \u0648\u0625\u062f\u0627\u0631\u0629 \u0627\u0644\u0623\u0639\u0645\u0627\u0644.<\/li>\n<li data-section-id=\"11u2u3g\" data-start=\"5140\" data-end=\"5150\">\u0627\u0644\u062a\u0633\u0648\u064a\u0642.<\/li>\n<li data-section-id=\"g3auun\" data-start=\"5151\" data-end=\"5171\">\u0627\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0627\u062c\u062a\u0645\u0627\u0639\u064a\u0629.<\/li>\n<li data-section-id=\"b9x0nl\" data-start=\"5172\" data-end=\"5182\">\u0627\u0644\u0647\u0646\u062f\u0633\u0629.<\/li>\n<li data-section-id=\"11vk0zh\" data-start=\"5183\" data-end=\"5193\">\u0627\u0644\u062a\u0639\u0644\u064a\u0645.<\/li>\n<li data-section-id=\"1nlwbx7\" data-start=\"5194\" data-end=\"5211\">\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0645\u0628\u064a\u0639\u0627\u062a.<\/li>\n<li data-section-id=\"1q0o2qb\" data-start=\"5212\" data-end=\"5232\">\u0627\u0644\u062f\u0631\u0627\u0633\u0627\u062a \u0627\u0644\u0633\u0643\u0627\u0646\u064a\u0629.<\/li>\n<\/ul>\n<p dir=\"auto\" data-start=\"5234\" data-end=\"5385\">\u0641\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0644\u0644\u062a\u0646\u0628\u0624 \u0628\u0645\u0628\u064a\u0639\u0627\u062a \u0645\u0646\u062a\u062c \u062c\u062f\u064a\u062f\u060c \u0623\u0648 \u062a\u0642\u062f\u064a\u0631 \u0642\u064a\u0645\u0629 \u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629 \u0644\u0645\u062a\u063a\u064a\u0631 \u0637\u0628\u064a\u060c \u0623\u0648 \u062a\u0648\u0642\u0639 \u0623\u062f\u0627\u0621 \u0637\u0627\u0644\u0628 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629.<\/p>\n<h2 dir=\"auto\" data-section-id=\"1y9p2qf\" data-start=\"5387\" data-end=\"5401\"><span role=\"text\"><strong data-start=\"5390\" data-end=\"5401\">\u0627\u0644\u062e\u0644\u0627\u0635\u0629<\/strong><\/span><\/h2>\n<p dir=\"auto\" data-start=\"5403\" data-end=\"5572\">\u062a\u0633\u0627\u0639\u062f <strong data-start=\"5409\" data-end=\"5446\">\u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 (Prediction Interval)<\/strong> \u0627\u0644\u0628\u0627\u062d\u062b \u0639\u0644\u0649 \u0641\u0647\u0645 \u0645\u062f\u0649 \u0639\u062f\u0645 \u0627\u0644\u064a\u0642\u064a\u0646 \u0627\u0644\u0645\u0631\u062a\u0628\u0637 \u0628\u0627\u0644\u062a\u0646\u0628\u0624 \u0628\u0642\u064a\u0645\u0629 \u0641\u0631\u062f\u064a\u0629 \u062c\u062f\u064a\u062f\u0629. \u0648\u0647\u064a \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062b\u0642\u0629 \u0627\u0644\u062a\u064a \u062a\u0631\u0643\u0632 \u0639\u0644\u0649 \u062a\u0642\u062f\u064a\u0631 \u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629.<\/p>\n<p dir=\"auto\" data-start=\"5574\" data-end=\"5776\">\u0648\u0645\u0646 \u0623\u0647\u0645 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u064a\u062c\u0628 \u062a\u0630\u0643\u0631\u0647\u0627 \u0623\u0646 <strong data-start=\"5608\" data-end=\"5653\">\u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u062a\u0643\u0648\u0646 \u0639\u0627\u062f\u0629\u064b \u0623\u0648\u0633\u0639 \u0645\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062b\u0642\u0629<\/strong>\u061b \u0644\u0623\u0646\u0647\u0627 \u062a\u0623\u062e\u0630 \u0641\u064a \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0644\u064a\u0633 \u0641\u0642\u0637 \u0639\u062f\u0645 \u0627\u0644\u064a\u0642\u064a\u0646 \u0641\u064a \u062a\u0642\u062f\u064a\u0631 \u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629\u060c \u0648\u0644\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a \u0644\u0644\u0645\u0644\u0627\u062d\u0638\u0629 \u0627\u0644\u0641\u0631\u062f\u064a\u0629 \u0627\u0644\u062c\u062f\u064a\u062f\u0629.<\/p>\n<p dir=\"auto\" data-start=\"5778\" data-end=\"5946\">\u0644\u0630\u0644\u0643 \u0641\u0625\u0646 \u0641\u0647\u0645 Prediction Interval \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d \u064a\u0633\u0627\u0639\u062f \u0627\u0644\u0628\u0627\u062d\u062b \u0639\u0644\u0649 \u062a\u0642\u062f\u064a\u0645 \u0646\u062a\u0627\u0626\u062c \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0623\u0643\u062b\u0631 \u062f\u0642\u0629 \u0648\u0648\u0636\u0648\u062d\u064b\u0627\u060c \u062e\u0635\u0648\u0635\u064b\u0627 \u0639\u0646\u062f \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0644\u0644\u062a\u0646\u0628\u0624 \u0628\u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629.<\/p>\n<p dir=\"auto\" data-start=\"5778\" data-end=\"5946\">\u0627\u0642\u0631\u0623 \u0627\u064a\u0636\u0627 :<\/p>\n<p><a href=\"https:\/\/statacademy-eg.com\/blogs\/%d9%86%d8%b3%d8%a8%d8%a9-%d8%a7%d9%84%d8%a3%d8%b1%d8%ac%d8%ad%d9%8a%d8%a9-odds-ratio-%d9%85%d9%81%d9%87%d9%88%d9%85%d9%87%d8%a7-%d9%88%d8%b7%d8%b1%d9%8a%d9%82%d8%a9-%d8%ad%d8%b3%d8%a7%d8%a8%d9%87\/\"><strong>\u0646\u0633\u0628\u0629 \u0627\u0644\u0623\u0631\u062c\u062d\u064a\u0629 Odds Ratio: \u0645\u0641\u0647\u0648\u0645\u0647\u0627 \u0648\u0637\u0631\u064a\u0642\u0629 \u062d\u0633\u0627\u0628\u0647\u0627 \u0648\u062a\u0641\u0633\u064a\u0631\u0647\u0627<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 (Prediction Interval): \u0645\u0641\u0647\u0648\u0645\u0647\u0627 \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0627\u062a\u0647\u0627 \u0641\u064a \u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a \u062a\u064f\u0639\u062f \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 (Prediction Interval) \u0645\u0646 \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0645\u0647\u0645\u0629 \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0621 \u0648\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a\u060c \u062e\u0627\u0635\u0629 \u0639\u0646\u062f \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0648\u0627\u0644\u062a\u0646\u0628\u0624 \u0628\u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629. \u0648\u062a\u0633\u0627\u0639\u062f \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0627\u0644\u0628\u0627\u062d\u062b \u0639\u0644\u0649 \u062a\u062d\u062f\u064a\u062f \u0646\u0637\u0627\u0642 \u0645\u062a\u0648\u0642\u0639 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0642\u0639 \u062f\u0627\u062e\u0644\u0647 \u0642\u064a\u0645\u0629 \u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629 \u062c\u062f\u064a\u062f\u0629 \u0645\u0639 \u0645\u0633\u062a\u0648\u0649 \u062b\u0642\u0629 \u0645\u062d\u062f\u062f. \u0648\u064a\u062e\u062a\u0644\u0641 \u0645\u0641\u0647\u0648\u0645 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0639\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062b\u0642\u0629 [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":921,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[194],"class_list":["post-920","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7","tag---prediction-interval"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 (Prediction Interval): \u0645\u0641\u0647\u0648\u0645\u0647\u0627 \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0627\u062a\u0647\u0627 \u0641\u064a \u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a - Stat Academy<\/title>\n<meta name=\"description\" content=\"\u062a\u0639\u0631\u0641 \u0639\u0644\u0649 \u0645\u0641\u0647\u0648\u0645 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 Prediction Interval\u060c \u0648\u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646\u0647\u0627 \u0648\u0628\u064a\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062b\u0642\u0629\u060c \u0648\u0637\u0631\u064a\u0642\u0629 \u062d\u0633\u0627\u0628\u0647\u0627 \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0641\u064a \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0648\u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a \u0648SPSS.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statacademy-eg.com\/blogs\/\u0641\u062a\u0631\u0629-\u0627\u0644\u062a\u0646\u0628\u0624-prediction-interval\/\" \/>\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 (Prediction Interval): \u0645\u0641\u0647\u0648\u0645\u0647\u0627 \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0627\u062a\u0647\u0627 \u0641\u064a \u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a - Stat Academy\" \/>\n<meta property=\"og:description\" content=\"\u062a\u0639\u0631\u0641 \u0639\u0644\u0649 \u0645\u0641\u0647\u0648\u0645 \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 Prediction Interval\u060c \u0648\u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646\u0647\u0627 \u0648\u0628\u064a\u0646 \u0641\u062a\u0631\u0629 \u0627\u0644\u062b\u0642\u0629\u060c \u0648\u0637\u0631\u064a\u0642\u0629 \u062d\u0633\u0627\u0628\u0647\u0627 \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0641\u064a \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0648\u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a \u0648SPSS.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statacademy-eg.com\/blogs\/\u0641\u062a\u0631\u0629-\u0627\u0644\u062a\u0646\u0628\u0624-prediction-interval\/\" \/>\n<meta property=\"og:site_name\" content=\"Stat Academy\" \/>\n<meta property=\"article:published_time\" content=\"2026-10-03T17:51:09+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-10-03T17:59:45+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statacademy-eg.com\/blogs\/wp-content\/uploads\/2026\/10\/\u0641\u062a\u0631\u0629-\u0627\u0644\u062a\u0646\u0628\u0624-Prediction-Interval.webp\" \/>\n\t<meta property=\"og:image:width\" content=\"1376\" \/>\n\t<meta property=\"og:image:height\" content=\"768\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/webp\" \/>\n<meta name=\"author\" content=\"ragab\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u0643\u064f\u062a\u0628 \u0628\u0648\u0627\u0633\u0637\u0629\" \/>\n\t<meta name=\"twitter:data1\" content=\"ragab\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u0648\u0642\u062a \u0627\u0644\u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u064f\u0642\u062f\u0651\u0631\" \/>\n\t<meta name=\"twitter:data2\" content=\"8 \u062f\u0642\u0627\u0626\u0642\" \/>\n<script type=\"application\/ld+json\" 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\u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\",\"datePublished\":\"2026-10-03T17:51:09+00:00\",\"dateModified\":\"2026-10-03T17:59:45+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/statacademy-eg.com\\\/blogs\\\/%d9%81%d8%aa%d8%b1%d8%a9-%d8%a7%d9%84%d8%aa%d9%86%d8%a8%d8%a4-prediction-interval\\\/\"},\"wordCount\":61,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/statacademy-eg.com\\\/blogs\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/statacademy-eg.com\\\/blogs\\\/%d9%81%d8%aa%d8%b1%d8%a9-%d8%a7%d9%84%d8%aa%d9%86%d8%a8%d8%a4-prediction-interval\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/statacademy-eg.com\\\/blogs\\\/wp-content\\\/uploads\\\/2026\\\/10\\\/\u0641\u062a\u0631\u0629-\u0627\u0644\u062a\u0646\u0628\u0624-Prediction-Interval.webp\",\"keywords\":[\"\u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 (Prediction Interval)\"],\"articleSection\":[\"\u0645\u0641\u0627\u0647\u064a\u0645 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 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