{"id":28434,"date":"2023-06-20T18:17:37","date_gmt":"2023-06-20T21:17:37","guid":{"rendered":"https:\/\/mindthegraph.com\/blog\/psychedelic-medicine-copy\/"},"modified":"2023-07-03T18:36:10","modified_gmt":"2023-07-03T21:36:10","slug":"regression-analysis","status":"publish","type":"post","link":"https:\/\/mindthegraph.com\/blog\/el\/%ce%b1%ce%bd%ce%ac%ce%bb%cf%85%cf%83%ce%b7-%cf%80%ce%b1%ce%bb%ce%b9%ce%bd%ce%b4%cf%81%cf%8c%ce%bc%ce%b7%cf%83%ce%b7%cf%82\/","title":{"rendered":"\u03a7\u03c1\u03ae\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7 \u03c0\u03bf\u03bb\u03cd\u03c0\u03bb\u03bf\u03ba\u03c9\u03bd \u03c3\u03c7\u03ad\u03c3\u03b5\u03c9\u03bd"},"content":{"rendered":"<p>\u0397 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 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\u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \u03c0\u03bf\u03c5 \u03c0\u03b9\u03c3\u03c4\u03b5\u03cd\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03b5\u03c0\u03b7\u03c1\u03b5\u03ac\u03b6\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03b5\u03be\u03b1\u03c1\u03c4\u03b7\u03bc\u03ad\u03bd\u03b7 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae. \u03a3\u03c5\u03c7\u03bd\u03ac \u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c9\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \u03c0\u03c1\u03cc\u03b2\u03bb\u03b5\u03c8\u03b7\u03c2, \u03ba\u03b1\u03b8\u03ce\u03c2 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ad\u03c8\u03bf\u03c5\u03bd \u03ae \u03bd\u03b1 \u03b5\u03be\u03b7\u03b3\u03ae\u03c3\u03bf\u03c5\u03bd \u03c4\u03b9\u03c2 \u03b1\u03bb\u03bb\u03b1\u03b3\u03ad\u03c2 \u03c3\u03c4\u03b7\u03bd \u03b5\u03be\u03b1\u03c1\u03c4\u03b7\u03bc\u03ad\u03bd\u03b7 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae.<\/li>\n<\/ul>\n\n\n\n<p>\u0397 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03b5\u03af \u03b3\u03b9\u03b1 \u03b4\u03b9\u03ac\u03c6\u03bf\u03c1\u03b5\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c0\u03c4\u03ce\u03c3\u03b5\u03b9\u03c2, \u03cc\u03c0\u03c9\u03c2 \u03b7 \u03c0\u03c1\u03cc\u03b2\u03bb\u03b5\u03c8\u03b7 \u03bc\u03b5\u03bb\u03bb\u03bf\u03bd\u03c4\u03b9\u03ba\u03ce\u03bd \u03c4\u03b9\u03bc\u03ce\u03bd \u03c4\u03b7\u03c2 \u03b5\u03be\u03b1\u03c1\u03c4\u03b7\u03bc\u03ad\u03bd\u03b7\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae\u03c2, \u03b7 \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b5\u03c0\u03af\u03b4\u03c1\u03b1\u03c3\u03b7\u03c2 \u03c4\u03c9\u03bd \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03c9\u03bd \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ce\u03bd \u03c3\u03c4\u03b7\u03bd \u03b5\u03be\u03b1\u03c1\u03c4\u03b7\u03bc\u03ad\u03bd\u03b7 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae \u03ba\u03b1\u03b9 \u03b7 \u03b5\u03cd\u03c1\u03b5\u03c3\u03b7 \u03b1\u03ba\u03c1\u03b1\u03af\u03c9\u03bd \u03c4\u03b9\u03bc\u03ce\u03bd \u03ae \u03b1\u03c3\u03c5\u03bd\u03ae\u03b8\u03b9\u03c3\u03c4\u03c9\u03bd \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03c3\u03c4\u03b7 \u03c3\u03c5\u03bb\u03bb\u03bf\u03b3\u03ae \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd.<\/p>\n\n\n\n<p>\u0397 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c4\u03b1\u03be\u03b9\u03bd\u03bf\u03bc\u03b7\u03b8\u03b5\u03af \u03c3\u03b5 \u03b4\u03b9\u03ac\u03c6\u03bf\u03c1\u03bf\u03c5\u03c2 \u03c4\u03cd\u03c0\u03bf\u03c5\u03c2, \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03b1\u03bd\u03bf\u03bc\u03ad\u03bd\u03b7\u03c2 \u03c4\u03b7\u03c2 \u03b1\u03c0\u03bb\u03ae\u03c2 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae\u03c2 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2, \u03c4\u03b7\u03c2 \u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae\u03c2 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2, \u03c4\u03b7\u03c2 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03c5\u03bc\u03b9\u03ba\u03ae\u03c2 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03ae\u03c2 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2. \u03a4\u03bf \u03ba\u03b1\u03c4\u03ac\u03bb\u03bb\u03b7\u03bb\u03bf \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b8\u03bf\u03c1\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03c6\u03cd\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c4\u03bf \u03b5\u03be\u03b5\u03c4\u03b1\u03b6\u03cc\u03bc\u03b5\u03bd\u03bf \u03b1\u03bd\u03c4\u03b9\u03ba\u03b5\u03af\u03bc\u03b5\u03bd\u03bf \u03c4\u03b7\u03c2 \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1\u03c2.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-how-does-regression-analysis-work\">\u03a0\u03ce\u03c2 \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03b7 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2;<\/h2>\n\n\n\n<p>\u03a3\u03ba\u03bf\u03c0\u03cc\u03c2 \u03c4\u03b7\u03c2 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03b9\u03c3\u03c4\u03b5\u03af \u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae \u03ae \u03ba\u03b1\u03bc\u03c0\u03cd\u03bb\u03b7 \u03c0\u03bf\u03c5 \u03c4\u03b1\u03b9\u03c1\u03b9\u03ac\u03b6\u03b5\u03b9 \u03ba\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b1 \u03ba\u03b1\u03b9 \u03b1\u03bd\u03c4\u03b9\u03ba\u03b1\u03c4\u03bf\u03c0\u03c4\u03c1\u03af\u03b6\u03b5\u03b9 \u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03c9\u03bd \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ce\u03bd \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03b5\u03be\u03b1\u03c1\u03c4\u03b7\u03bc\u03ad\u03bd\u03b7\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae\u03c2. \u0391\u03c5\u03c4\u03ae \u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae \u03ae \u03ba\u03b1\u03bc\u03c0\u03cd\u03bb\u03b7 \u03ba\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7\u03c2 \u03c0\u03c1\u03bf\u03c3\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae\u03c2 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b5\u03af\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd \u03bc\u03b5\u03b8\u03cc\u03b4\u03c9\u03bd \u03c0\u03bf\u03c5 \u03bc\u03b5\u03b9\u03ce\u03bd\u03bf\u03c5\u03bd \u03c4\u03b9\u03c2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ad\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03b1\u03bd\u03b1\u03bc\u03b5\u03bd\u03cc\u03bc\u03b5\u03bd\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03c4\u03b9\u03bc\u03ce\u03bd \u03c3\u03c4\u03b7 \u03c3\u03c5\u03bb\u03bb\u03bf\u03b3\u03ae \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd.<\/p>\n\n\n\n<p>\u0391\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03bf\u03cd\u03bd \u03bf\u03b9 \u03c4\u03cd\u03c0\u03bf\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03b4\u03cd\u03bf \u03c0\u03b9\u03bf \u03c3\u03c5\u03bd\u03b7\u03b8\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf\u03c5\u03c2 \u03c4\u03cd\u03c0\u03bf\u03c5\u03c2 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-single-linear-regression\">\u0395\u03bd\u03b9\u03b1\u03af\u03b1 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7<\/h3>\n\n\n\n<p>\u03a3\u03c4\u03b7\u03bd \u0391\u03c0\u03bb\u03ae \u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae \u03a0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7, \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b5 \u03bc\u03b9\u03b1 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae \u03ba\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7\u03c2 \u03c0\u03c1\u03bf\u03c3\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae\u03c2 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03b4\u03cd\u03bf \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ce\u03bd: \u03c4\u03b7\u03c2 \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03b7\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae\u03c2 (x) \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03b5\u03be\u03b1\u03c1\u03c4\u03b7\u03bc\u03ad\u03bd\u03b7\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae\u03c2 (y).<\/p>\n\n\n\n<p>\u0397 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae \u03ba\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7\u03c2 \u03c0\u03c1\u03bf\u03c3\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03b1\u03c3\u03c4\u03b1\u03b8\u03b5\u03af \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7: y = a + bx.<\/p>\n\n\n\n<p>\u0395\u03b4\u03ce, a \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03c4\u03bf\u03bc\u03ae, b \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03ba\u03bb\u03af\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2. \u0393\u03b9\u03b1 \u03bd\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b7\u03bd \u03ba\u03bb\u03af\u03c3\u03b7, \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b5 \u03c4\u03bf\u03bd \u03c4\u03cd\u03c0\u03bf: b = (n\u03a3(xy) - \u03a3x\u03a3y) \/ (n\u03a3(x<sup>2<\/sup>) - (\u03a3x)<sup>2<\/sup>), \u03cc\u03c0\u03bf\u03c5 n \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03b5\u03c9\u03bd, \u03a3xy \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03bf\u03c5 \u03b3\u03b9\u03bd\u03bf\u03bc\u03ad\u03bd\u03bf\u03c5 \u03c4\u03c9\u03bd x \u03ba\u03b1\u03b9 y, \u03a3x \u03ba\u03b1\u03b9 \u03a3y \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03b1 \u03b1\u03b8\u03c1\u03bf\u03af\u03c3\u03bc\u03b1\u03c4\u03b1 \u03c4\u03c9\u03bd x \u03ba\u03b1\u03b9 y \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b1, \u03ba\u03b1\u03b9 \u03a3(x<sup>2<\/sup>) \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03c9\u03bd \u03c4\u03bf\u03c5 x.<\/p>\n\n\n\n<p>\u0393\u03b9\u03b1 \u03bd\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b7\u03bd \u03c4\u03bf\u03bc\u03ae, \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b5 \u03c4\u03bf\u03bd \u03c4\u03cd\u03c0\u03bf: a = (\u03a3y - b\u03a3x) \/ n.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-multiple-regression\">\u03a0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03ae \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7&nbsp;<\/h3>\n\n\n\n<p>\u03a0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03ae \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7:<\/p>\n\n\n\n<p>\u039f \u03c4\u03cd\u03c0\u03bf\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf\u03c5 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03ae\u03c2 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae\u03c2 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\">\n<p><strong>y = b<sub>0<\/sub> + b<sub>1<\/sub>x<sub>1<\/sub> + b<sub>2<\/sub>x<sub>2<\/sub> + ... + b<sub>n<\/sub>x<sub>n<\/sub><\/strong><\/p>\n<\/blockquote>\n\n\n\n<p>\u03cc\u03c0\u03bf\u03c5 y \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03b5\u03be\u03b1\u03c1\u03c4\u03b7\u03bc\u03ad\u03bd\u03b7 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae, x<sub>1<\/sub>, x<sub>2<\/sub>, ..., x<sub>n<\/sub> \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03b9 \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03b5\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \u03ba\u03b1\u03b9 b<sub>0<\/sub>, b<sub>1<\/sub>, b<sub>2<\/sub>, ..., bn \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03b9 \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ad\u03c2 \u03c4\u03c9\u03bd \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03c9\u03bd \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ce\u03bd.<\/p>\n\n\n\n<p>\u039f \u03c4\u03cd\u03c0\u03bf\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03ba\u03c4\u03af\u03bc\u03b7\u03c3\u03b7 \u03c4\u03c9\u03bd \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ce\u03bd \u03bc\u03b5 \u03c4\u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03c3\u03c5\u03bd\u03ae\u03b8\u03c9\u03bd \u03b5\u03bb\u03b1\u03c7\u03af\u03c3\u03c4\u03c9\u03bd \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\">\n<p><strong>\u03b2 = (X'X)<sup>(-1)<\/sup>X'y<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p>\u03cc\u03c0\u03bf\u03c5 \u03b2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03b4\u03b9\u03ac\u03bd\u03c5\u03c3\u03bc\u03b1 \u03c3\u03c4\u03ae\u03bb\u03b7\u03c2 \u03c4\u03c9\u03bd \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ce\u03bd, \u03a7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03c0\u03af\u03bd\u03b1\u03ba\u03b1\u03c2 \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03bf\u03cd \u03c4\u03c9\u03bd \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03c9\u03bd \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ce\u03bd, \u03a7' \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03bc\u03b5\u03c4\u03b1\u03c6\u03bf\u03c1\u03ac \u03c4\u03bf\u03c5 \u03a7 \u03ba\u03b1\u03b9 y \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03b4\u03b9\u03ac\u03bd\u03c5\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03b5\u03c9\u03bd \u03c4\u03b7\u03c2 \u03b5\u03be\u03b1\u03c1\u03c4\u03b7\u03bc\u03ad\u03bd\u03b7\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae\u03c2.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-regression-analysis-example\">\u03a0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2<\/h2>\n\n\n\n<p>\u0391\u03c2 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b8\u03ad\u03bb\u03b5\u03c4\u03b5 \u03bd\u03b1 \u03b5\u03be\u03b5\u03c4\u03ac\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5 \u03bc\u03ad\u03c3\u03bf\u03c5 \u03cc\u03c1\u03bf\u03c5 \u03b2\u03b1\u03b8\u03bc\u03bf\u03bb\u03bf\u03b3\u03af\u03b1\u03c2 (GPA) \u03b5\u03bd\u03cc\u03c2 \u03b1\u03c4\u03cc\u03bc\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd \u03c9\u03c1\u03ce\u03bd \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7\u03c2 \u03b1\u03bd\u03ac \u03b5\u03b2\u03b4\u03bf\u03bc\u03ac\u03b4\u03b1. \u03a3\u03c5\u03bb\u03bb\u03ad\u03b3\u03b5\u03c4\u03b5 \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b5\u03c2 \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03c6\u03bf\u03b9\u03c4\u03b7\u03c4\u03ce\u03bd, \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03b1\u03bd\u03bf\u03bc\u03ad\u03bd\u03bf\u03c5 \u03c4\u03bf\u03c5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd \u03c9\u03c1\u03ce\u03bd \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5 \u03bc\u03ad\u03c3\u03bf\u03c5 \u03cc\u03c1\u03bf\u03c5 \u03b2\u03b1\u03b8\u03bc\u03bf\u03bb\u03bf\u03b3\u03af\u03b1\u03c2 \u03c4\u03bf\u03c5\u03c2.<\/p>\n\n\n\n<p>\u03a3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1, \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03c4\u03b5 \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b4\u03b5\u03af\u03c4\u03b5 \u03b1\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03b4\u03cd\u03bf \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ce\u03bd \u03ba\u03b1\u03b9, \u03b1\u03bd \u03bd\u03b1\u03b9, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03ae\u03c3\u03b5\u03c4\u03b5 \u03ad\u03bd\u03b1 \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03c0\u03bf\u03c5 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ad\u03c0\u03b5\u03b9 \u03c4\u03bf\u03bd \u03bc\u03ad\u03c3\u03bf \u03cc\u03c1\u03bf \u03b2\u03b1\u03b8\u03bc\u03bf\u03bb\u03bf\u03b3\u03af\u03b1\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03bc\u03b1\u03b8\u03b7\u03c4\u03ae \u03bc\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03c4\u03c9\u03bd \u03c9\u03c1\u03ce\u03bd \u03c0\u03bf\u03c5 \u03bc\u03b5\u03bb\u03b5\u03c4\u03ac \u03c4\u03b7\u03bd \u03b5\u03b2\u03b4\u03bf\u03bc\u03ac\u03b4\u03b1.<\/p>\n\n\n\n<div style=\"height:21px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/lh5.googleusercontent.com\/jY2vs2UsuRYMfVS7ZwPuk_epkVR-Yl7jnG8al1mDmUs6L8YsZ_X3WwNFy40jDCareFFtyOzL6b_DXIhO8FrJR1CMyVwg_rHyE1jycXX-LGWLsUf4LTzWV4L35ObUSidK1EsF136nqG-tHj_zjStgbbA\" alt=\"\" width=\"505\" height=\"263\"\/><figcaption class=\"wp-element-caption\"><em>\u0397 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b9\u03b1\u03b8\u03ad\u03c3\u03b9\u03bc\u03b7 \u03c3\u03c4\u03bf <a href=\"https:\/\/www.alchemer.com\" target=\"_blank\" rel=\"noreferrer noopener\">alchemer.com<\/a><\/em><\/figcaption><\/figure><\/div>\n\n\n<p><a href=\"https:\/\/www.alchemer.com\/wp-content\/uploads\/2019\/04\/regression-analysis-1.png\"><\/a><\/p>\n\n\n\n<div style=\"height:21px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u038c\u03c4\u03b1\u03bd \u03c4\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03b1\u03c0\u03b5\u03b9\u03ba\u03bf\u03bd\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03c7\u03ac\u03c1\u03c4\u03b7 \u03b4\u03b9\u03b1\u03c3\u03c0\u03bf\u03c1\u03ac\u03c2, \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03b5\u03c5\u03bd\u03bf\u03ca\u03ba\u03ae \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03c9\u03c1\u03ce\u03bd \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5 GPA. \u0397 \u03ba\u03bb\u03af\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03b7 \u03c4\u03bf\u03bc\u03ae \u03c4\u03b7\u03c2 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae\u03c2 \u03ba\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7\u03c2 \u03c0\u03c1\u03bf\u03c3\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae\u03c2 \u03b5\u03ba\u03c4\u03b9\u03bc\u03ce\u03bd\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1 \u03bc\u03b5 \u03c4\u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03b5\u03bd\u03cc\u03c2 \u03b1\u03c0\u03bb\u03bf\u03cd \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae\u03c2 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2. \u0397 \u03c4\u03b5\u03bb\u03b9\u03ba\u03ae \u03bb\u03cd\u03c3\u03b7 \u03b8\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03c3\u03b5 \u03bd\u03b1 \u03bc\u03bf\u03b9\u03ac\u03b6\u03b5\u03b9 \u03c9\u03c2 \u03b5\u03be\u03ae\u03c2:<\/p>\n\n\n\n<p>GPA = 2,0 + 0,3 (\u03ce\u03c1\u03b5\u03c2 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7\u03c2 \u03b1\u03bd\u03ac \u03b5\u03b2\u03b4\u03bf\u03bc\u03ac\u03b4\u03b1)<\/p>\n\n\n\n<div style=\"height:21px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/lh6.googleusercontent.com\/plMkcFRz9dE-xiHm7wkzhCBplbaGIBdvzy4y8LmGqBEaFAMV72IUx7DRx8uvaU_TVMkcOlwcgH_s12NMZFjni4gWrlANjcBH2RqyoFKzrks9q3SGUDpnd_ILZZ4ookIPxD-PJ2T5L-HS3GaWCJf8yEE\" alt=\"\" width=\"505\" height=\"263\"\/><figcaption class=\"wp-element-caption\"><em><em>\u0397 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b9\u03b1\u03b8\u03ad\u03c3\u03b9\u03bc\u03b7 \u03c3\u03c4\u03bf <a href=\"https:\/\/www.alchemer.com\" target=\"_blank\" rel=\"noreferrer noopener\">alchemer.com<\/a><\/em><\/em><\/figcaption><\/figure><\/div>\n\n\n<p><a href=\"https:\/\/www.alchemer.com\/wp-content\/uploads\/2019\/04\/regression-analysis-2.png\"><\/a><\/p>\n\n\n\n<div style=\"height:21px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u0397 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03b1\u03c5\u03c4\u03ae \u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 \u03b5\u03c0\u03b9\u03c0\u03bb\u03ad\u03bf\u03bd \u03ce\u03c1\u03b1 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7\u03c2 \u03c4\u03b7\u03bd \u03b5\u03b2\u03b4\u03bf\u03bc\u03ac\u03b4\u03b1, \u03bf \u03bc\u03ad\u03c3\u03bf\u03c2 \u03cc\u03c1\u03bf\u03c2 \u03b2\u03b1\u03b8\u03bc\u03bf\u03bb\u03bf\u03b3\u03af\u03b1\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03c6\u03bf\u03b9\u03c4\u03b7\u03c4\u03ae \u03b8\u03b1 \u03b1\u03c5\u03be\u03b7\u03b8\u03b5\u03af \u03ba\u03b1\u03c4\u03ac 0,3 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b5\u03c2, \u03bc\u03b5 \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03c5\u03c0\u03cc\u03bb\u03bf\u03b9\u03c0\u03b1 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b9\u03c3\u03bf\u03b4\u03cd\u03bd\u03b1\u03bc\u03b1. \u0391\u03c5\u03c4\u03cc\u03c2 \u03bf \u03b1\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03b5\u03af \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c0\u03c1\u03cc\u03b2\u03bb\u03b5\u03c8\u03b7 \u03c4\u03bf\u03c5 GPA \u03b5\u03bd\u03cc\u03c2 \u03bc\u03b1\u03b8\u03b7\u03c4\u03ae \u03bc\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03c4\u03c9\u03bd \u03c9\u03c1\u03ce\u03bd \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7\u03c2 \u03c0\u03bf\u03c5 \u03bc\u03b5\u03bb\u03b5\u03c4\u03ac \u03c4\u03b7\u03bd \u03b5\u03b2\u03b4\u03bf\u03bc\u03ac\u03b4\u03b1, \u03ba\u03b1\u03b8\u03ce\u03c2 \u03ba\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03b5\u03bd\u03c4\u03bf\u03c0\u03b9\u03c3\u03bc\u03cc \u03c4\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03c4\u03ce\u03bd \u03c0\u03bf\u03c5 \u03ba\u03b9\u03bd\u03b4\u03c5\u03bd\u03b5\u03cd\u03bf\u03c5\u03bd \u03bd\u03b1 \u03c5\u03c0\u03bf\u03b1\u03c0\u03bf\u03b4\u03ce\u03c3\u03bf\u03c5\u03bd \u03bc\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03c4\u03b7 \u03c1\u03bf\u03c5\u03c4\u03af\u03bd\u03b1 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7\u03c2 \u03c4\u03bf\u03c5\u03c2.&nbsp;<\/p>\n\n\n\n<p>\u03a7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03c4\u03bf\u03c5 \u03c0\u03b1\u03c1\u03b1\u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03bf\u03c2, \u03bf\u03b9 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03b3\u03b9\u03b1 <strong>b<\/strong> \u03ba\u03b1\u03b9 <strong>a<\/strong> \u03ad\u03c7\u03bf\u03c5\u03bd \u03c9\u03c2 \u03b5\u03be\u03ae\u03c2:<\/p>\n\n\n\n<p>n = 10 (\u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03b5\u03c9\u03bd)<\/p>\n\n\n\n<p>\u03a3x = 30 (\u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03c9\u03c1\u03ce\u03bd \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7\u03c2)<\/p>\n\n\n\n<p>\u03a3y = 25 (\u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd GPA)<\/p>\n\n\n\n<p>\u03a3xy = 149 (\u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03bf\u03c5 \u03b3\u03b9\u03bd\u03bf\u03bc\u03ad\u03bd\u03bf\u03c5 \u03c4\u03c9\u03bd \u03c9\u03c1\u03ce\u03bd \u03c3\u03c0\u03bf\u03c5\u03b4\u03ce\u03bd \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd GPA)<\/p>\n\n\n\n<p>\u03a3(x)<sup>2<\/sup> = 102 (\u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03c9\u03bd \u03c4\u03c9\u03bd \u03c9\u03c1\u03ce\u03bd \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7\u03c2)<\/p>\n\n\n\n<p>\u03a7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03b1\u03c5\u03c4\u03ad\u03c2 \u03c4\u03b9\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2, \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 <strong>b<\/strong> \u03c9\u03c2:<\/p>\n\n\n\n<p>b = (n\u03a3(xy) - \u03a3x\u03a3y) \/ (n\u03a3(x<sup>2<\/sup>) - (\u03a3x)<sup>2<\/sup>)<\/p>\n\n\n\n<p>= (10 * 149 &#8211; 30 * 25) \/ (10 * 102 &#8211; 30<sup>2<\/sup>)<\/p>\n\n\n\n<p>= 0.3<\/p>\n\n\n\n<p>\u039a\u03b1\u03b9 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 <strong>a <\/strong>\u03c9\u03c2:<\/p>\n\n\n\n<p>a = (\u03a3y - b\u03a3x) \/ n<\/p>\n\n\n\n<p>= (25 &#8211; 0.3 * 30) \/ 10<\/p>\n\n\n\n<p>= 2.0<\/p>\n\n\n\n<p>\u0395\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2, \u03b7 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae\u03c2 \u03ba\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7\u03c2 \u03c0\u03c1\u03bf\u03c3\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9:&nbsp;<\/p>\n\n\n\n<p>GPA = 2,0 + 0,3 (\u03ce\u03c1\u03b5\u03c2 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7\u03c2 \u03b1\u03bd\u03ac \u03b5\u03b2\u03b4\u03bf\u03bc\u03ac\u03b4\u03b1)<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-what-is-the-difference-between-correlation-and-regression\">\u03a0\u03bf\u03b9\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c3\u03c5\u03c3\u03c7\u03ad\u03c4\u03b9\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2;<\/h2>\n\n\n\n<p>\u03a4\u03cc\u03c3\u03bf \u03b7 \u03c3\u03c5\u03c3\u03c7\u03ad\u03c4\u03b9\u03c3\u03b7 \u03cc\u03c3\u03bf \u03ba\u03b1\u03b9 \u03b7 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03be\u03ad\u03c4\u03b1\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c3\u03c7\u03ad\u03c3\u03b7\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03b4\u03cd\u03bf \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ce\u03bd. \u0395\u03be\u03c5\u03c0\u03b7\u03c1\u03b5\u03c4\u03bf\u03cd\u03bd \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c3\u03ba\u03bf\u03c0\u03bf\u03cd\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03b1\u03c1\u03ad\u03c7\u03bf\u03c5\u03bd \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c4\u03cd\u03c0\u03bf\u03c5\u03c2 \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03b9\u03ce\u03bd.<\/p>\n\n\n\n<p>\u0397 \u03c3\u03c5\u03c3\u03c7\u03ad\u03c4\u03b9\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03bc\u03ad\u03c4\u03c1\u03bf \u03c4\u03b7\u03c2 \u03b9\u03c3\u03c7\u03cd\u03bf\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03c0\u03bf\u03c1\u03b5\u03af\u03b1\u03c2 \u03bc\u03b9\u03b1\u03c2 \u03c3\u03cd\u03bd\u03b4\u03b5\u03c3\u03b7\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03b4\u03cd\u03bf \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ce\u03bd. \u039a\u03c5\u03bc\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc -1 \u03ad\u03c9\u03c2 +1, \u03bc\u03b5 \u03c4\u03bf -1 \u03bd\u03b1 \u03b1\u03bd\u03c4\u03b9\u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b5\u03cd\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03c4\u03ad\u03bb\u03b5\u03b9\u03b1 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ae \u03c3\u03c5\u03c3\u03c7\u03ad\u03c4\u03b9\u03c3\u03b7, \u03c4\u03bf 0 \u03bd\u03b1 \u03b1\u03bd\u03c4\u03b9\u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b5\u03cd\u03b5\u03b9 \u03ba\u03b1\u03bc\u03af\u03b1 \u03c3\u03c5\u03c3\u03c7\u03ad\u03c4\u03b9\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c4\u03bf +1 \u03bd\u03b1 \u03b1\u03bd\u03c4\u03b9\u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b5\u03cd\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03c4\u03ad\u03bb\u03b5\u03b9\u03b1 \u03b8\u03b5\u03c4\u03b9\u03ba\u03ae \u03c3\u03c5\u03c3\u03c7\u03ad\u03c4\u03b9\u03c3\u03b7. \u0397 \u03c3\u03c5\u03c3\u03c7\u03ad\u03c4\u03b9\u03c3\u03b7 \u03b4\u03b5\u03af\u03c7\u03bd\u03b5\u03b9 \u03c4\u03bf \u03b2\u03b1\u03b8\u03bc\u03cc \u03c3\u03c4\u03bf\u03bd \u03bf\u03c0\u03bf\u03af\u03bf \u03b4\u03cd\u03bf \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \u03c3\u03c5\u03bd\u03b4\u03ad\u03bf\u03bd\u03c4\u03b1\u03b9, \u03b1\u03bb\u03bb\u03ac \u03b4\u03b5\u03bd \u03c5\u03c0\u03bf\u03b4\u03b7\u03bb\u03ce\u03bd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b1\u03b9\u03c4\u03af\u03b1 \u03ae \u03c4\u03b7\u03bd \u03c0\u03c1\u03bf\u03b2\u03bb\u03b5\u03c8\u03b9\u03bc\u03cc\u03c4\u03b7\u03c4\u03b1.<\/p>\n\n\n\n<p>\u0397 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7, \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03ac\u03bb\u03bb\u03b7 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac, \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03bc\u03bf\u03bd\u03c4\u03b5\u03bb\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03c4\u03b7\u03c2 \u03c3\u03cd\u03bd\u03b4\u03b5\u03c3\u03b7\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03b4\u03cd\u03bf \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ce\u03bd, \u03c3\u03c5\u03bd\u03ae\u03b8\u03c9\u03c2 \u03bc\u03b5 \u03c3\u03ba\u03bf\u03c0\u03cc \u03c4\u03b7\u03bd \u03c0\u03c1\u03cc\u03b2\u03bb\u03b5\u03c8\u03b7 \u03ae \u03c4\u03b7\u03bd \u03b5\u03be\u03ae\u03b3\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03bc\u03b9\u03b1\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae\u03c2 \u03bc\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03c4\u03b7\u03bd \u03ac\u03bb\u03bb\u03b7. \u0397 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03b1\u03c1\u03ad\u03c7\u03b5\u03b9 \u03b5\u03ba\u03c4\u03b9\u03bc\u03ae\u03c3\u03b5\u03b9\u03c2 \u03c4\u03bf\u03c5 \u03bc\u03b5\u03b3\u03ad\u03b8\u03bf\u03c5\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03ba\u03b1\u03c4\u03b5\u03cd\u03b8\u03c5\u03bd\u03c3\u03b7\u03c2 \u03c4\u03b7\u03c2 \u03c3\u03c7\u03ad\u03c3\u03b7\u03c2, \u03ba\u03b1\u03b8\u03ce\u03c2 \u03ba\u03b1\u03b9 \u03b5\u03bb\u03ad\u03b3\u03c7\u03bf\u03c5\u03c2 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae\u03c2 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2, \u03b5\u03cd\u03c1\u03b7 \u03b5\u03bc\u03c0\u03b9\u03c3\u03c4\u03bf\u03c3\u03cd\u03bd\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ad\u03c8\u03b5\u03b9\u03c2 \u03bc\u03b5\u03bb\u03bb\u03bf\u03bd\u03c4\u03b9\u03ba\u03ce\u03bd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03c3\u03bc\u03ac\u03c4\u03c9\u03bd.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-your-creations-ready-within-minutes\">\u039f\u03b9 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03af\u03b5\u03c2 \u03c3\u03b1\u03c2, \u03ad\u03c4\u03bf\u03b9\u03bc\u03b5\u03c2 \u03bc\u03ad\u03c3\u03b1 \u03c3\u03b5 \u03bb\u03af\u03b3\u03b1 \u03bb\u03b5\u03c0\u03c4\u03ac<\/h2>\n\n\n\n<p><a href=\"https:\/\/mindthegraph.com\" target=\"_blank\" rel=\"noreferrer noopener\">Mind the Graph<\/a> \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03c4\u03c5\u03b1\u03ba\u03ae \u03c0\u03bb\u03b1\u03c4\u03c6\u03cc\u03c1\u03bc\u03b1 \u03c0\u03bf\u03c5 \u03c3\u03b1\u03c2 \u03c0\u03c1\u03bf\u03c3\u03c6\u03ad\u03c1\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03b5\u03ba\u03c4\u03b5\u03c4\u03b1\u03bc\u03ad\u03bd\u03b7 \u03b2\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03ae\u03ba\u03b7 \u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03bf\u03bd\u03b9\u03ba\u03ce\u03bd \u03b5\u03b9\u03ba\u03bf\u03bd\u03bf\u03b3\u03c1\u03b1\u03c6\u03ae\u03c3\u03b5\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c7\u03b5\u03b4\u03af\u03c9\u03bd infographic \u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03c4\u03c1\u03bf\u03c0\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03bf\u03cd\u03bd \u03b1\u03c0\u03bb\u03ac \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03ba\u03b1\u03bb\u03cd\u03c8\u03bf\u03c5\u03bd \u03c4\u03b9\u03c2 \u03b4\u03b9\u03ba\u03ad\u03c2 \u03c3\u03b1\u03c2 \u03bc\u03bf\u03bd\u03b1\u03b4\u03b9\u03ba\u03ad\u03c2 \u03b1\u03bd\u03ac\u03b3\u03ba\u03b5\u03c2. \u0394\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03ae\u03c3\u03c4\u03b5 \u03b5\u03c0\u03b1\u03b3\u03b3\u03b5\u03bb\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae\u03c2 \u03b5\u03bc\u03c6\u03ac\u03bd\u03b9\u03c3\u03b7\u03c2 \u03b4\u03b9\u03b1\u03b3\u03c1\u03ac\u03bc\u03bc\u03b1\u03c4\u03b1, \u03b1\u03c6\u03af\u03c3\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ad\u03c2 \u03c0\u03b5\u03c1\u03b9\u03bb\u03ae\u03c8\u03b5\u03b9\u03c2 \u03bc\u03ad\u03c3\u03b1 \u03c3\u03b5 \u03bb\u03af\u03b3\u03b1 \u03bb\u03b5\u03c0\u03c4\u03ac, \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03ad\u03bd\u03b1 \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2 drag-and-drop \u03ba\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03b5\u03c5\u03c1\u03cd \u03c6\u03ac\u03c3\u03bc\u03b1 \u03b5\u03c1\u03b3\u03b1\u03bb\u03b5\u03af\u03c9\u03bd \u03ba\u03b1\u03b9 \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03b9\u03ce\u03bd.&nbsp;<\/p>\n\n\n\n<div style=\"height:21px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"800\" height=\"500\" src=\"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2023\/05\/banco.gif\" alt=\"\" class=\"wp-image-28087\"\/><\/figure><\/div>\n\n\n<div style=\"height:21px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"is-layout-flex wp-block-buttons\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/mindthegraph.com\/\" style=\"border-radius:50px;background-color:#dc1866\" target=\"_blank\" rel=\"noreferrer noopener\">\u039e\u03b5\u03ba\u03b9\u03bd\u03ae\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b5\u03af\u03c4\u03b5 \u03bc\u03b5 \u03c4\u03bf Mind the Graph<\/a><\/div>\n<\/div>\n\n\n\n<div style=\"height:44px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>","protected":false},"excerpt":{"rendered":"<p>\u039a\u03b1\u03c4\u03b1\u03bd\u03bf\u03ae\u03c3\u03c4\u03b5 \u03c0\u03ce\u03c2 \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03b7 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03c0\u03b1\u03bb\u03b9\u03bd\u03b4\u03c1\u03cc\u03bc\u03b7\u03c3\u03b7\u03c2 \u03bc\u03b5 \u03b5\u03c5\u03ba\u03bf\u03bb\u03af\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03ad\u03bd\u03b1 \u03bf\u03bb\u03bf\u03ba\u03bb\u03b7\u03c1\u03c9\u03bc\u03ad\u03bd\u03bf \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03ba\u03b1\u03b9 \u03bc\u03ac\u03b8\u03b5\u03c4\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03c0\u03b9\u03bf \u03c3\u03c5\u03bd\u03b7\u03b8\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf\u03c5\u03c2 \u03c4\u03cd\u03c0\u03bf\u03c5\u03c2. <\/p>","protected":false},"author":28,"featured_media":28437,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[959,28],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v19.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Using Regression Analysis to Understand Complex Relationships - Mind the Graph Blog<\/title>\n<meta name=\"description\" content=\"Understand how regression analysis works with ease using a comprehensive example and learn the most common formulas.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mindthegraph.com\/blog\/el\/\u0440\u0435\u0433\u0440\u0435\u0441\u0456\u0439\u043d\u0438\u0439-\u0430\u043d\u0430\u043b\u0456\u0437\/\" \/>\n<meta property=\"og:locale\" content=\"el_GR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta 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