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Ҵ

ҴԹ͹ͧѳԵԭҹѷ͡ҡ GPA ö ҴѺͧ Թ͹ GPA ѹѹ ѹѹҡ Һͧ˹ӹͧա˹§ дѺѹ٧ ҺѺ˹Ҵͧաҡѡ

ʶҹóҧ öҴóǧ˹١ͧªҧҡѴԹ ѧ Һѹѹ٧ ֧ͧʴѹҧͧ͡ʹ¹ŧͧҧ ҡѧ ҳҴͧҡͧ ʹӹ¡ (dependent variable) ǹ¡ (independent variable) ԴԷԾ¹ ٧ͧԴԷԾ٧ͧص

ͧͧԹ͹ GPA Թ͹ ͧҴҡ GPA Թ͹ GPA ͧѳԵҹ ֡ѹҧԹ͹ GPA
ҧ óԴ ѡѺԷԾҡ Թ͹͡ҡѺ GPA ѧҨѺҢԪʶҺѹ ͧҹ ʶҹͧѷ աҡ öǺͧѨءҧͧѺ ӹͧ١ͧ͹ ֧ҡ Ѻ ʹٻѹҧ ѡɳѹٻç ӹ§֧ѹҧͧ٧

ʹͧѺҾШ x y ѹçҧ x y ¹çѡɳͧ˹ 2 a b ѧ

y = a + bx

ҧ ԡѾԡ͹ 500 ҷ Ѿҷ 3 ҷ ѧ ç

ԡѾ͹ = 500 + (3 x ӹǹҷԡ)

a = 500 b = 3

a y - intercept ٧ͧ ( y) x = 0 b ѹͧç͡ѵ¹ŧͧ¹ŧ 1 ˹ y ¹ b ˹ء˹ͧ x ¹ ͧͧ b ʹͧѺѹ r ͧ͡ x y ѹѹҧǹѹ

b = 0 ʴ ç x y ¹ŧ
b > 0 ʴ x y x Ŵŧ y Ŵŧ
b < 0 ʴ x y Ŵŧ x Ŵŧ y

ҧѡɳçѹǡźʴҾ  1.

Ҿ  1.   ҿ 2 ٻ intercept ѹҧѹ

ʴѹҧ x y ¡ (regression equation) çҧ¡ (regression line)
ҡ Sir Francis Galton ؤá֡ѹҧ٧ͧصԴ ػ .. 1885 صԴ٧٧ ҧ٧Դͧ ҧѺѹ صԴ٧٧ ѧ٧Դͧ Ҩͧҧ x ͸Ժѹͧ y صʹ֡˹ѡͧ˭ԧ ͧԨóʴѹҧ˹ѡ٧ͧ˭ԧ

˹ѡ (š) = - 110 + ٧ (ૹ)

٧ͧ˭ԧ͸Ժ ˵˭ԧ֧˹ѡҧѹ ٧ѹ ٧ҡ 1 ૹ ˹ѡҡ 1 š ѧѨաҧ˭ԧ˹ѡѹ ٧ѹѧ˹ѡѹ ѧ ҡöѨҧ ͸Ժѹͧ˹ѡҡ ֧ ͸Ժͧ˹ѡҧѹ Ҵ˹ѡ§

ҧ
Ѻͺҹ


: ͡Сͺ͹ Էɵʵ 2542, Ԫóҡ
Ǵ֡ Ԫ 999211 ԵʵԵШѹ