Question

The table shows the numbers of​ new-vehicle sales​ (in thousands) in the United States for Company A and Company B for 10 years. The equation of the regression line is ModifyingAbove y with caret equals 0.975 x plus 1 comma 259.19. Complete parts​ (a) and​ (b) below. ​New-vehicle sales left parenthesis Company Upper A right parenthesis comma x 4 comma 144 3 comma 880 3 comma 595 3 comma 443 3 comma 295 3 comma 110 2 comma 849 2 comma 489 1 comma 946 2 comma 086 ​New-vehicle sales left parenthesis Company Upper B right parenthesis comma y 4 comma 891 4 comma 836 4 comma 836 4 comma 701 4 comma 652 4 comma 469 4 comma 681 3 comma 832 2 comma 971 2 comma 779 ​

(a) Find the coefficient of determination and interpret the result.

r^2=

(b) Find the standard error of estimate and interpret result.

Se=

Answer 1

SST=Syy=		5,668,615.6000
SSE =Syy-(Sxy)2/Sxx=		1,020,557.5512
SSR =(Sxy)2/Sxx =		4,648,058.0488

a)

Coeffficient of determination R^2 =SSR/SST=

0.82

b)

	s2 =SSE/(n-2)=	127569.6939
std error σ              =	=se =√s2=	357.169 (please try 357.17 if required to 2 decimal places)