Question

xi	2	6	9	13	20
yi	7	18	9	26	23

The estimated regression equation is ŷ = 7.6 + .9x.

1. What is the value of the standard error of the estimate (to 4 decimals)?
   
   
2. What is the value of the t test statistic (to 2 decimals)?
3. Use the F test to test for a significant relationship. Use α = .05.
   
   Compute the value of the F test statistic (to 2 decimals).

Answer 1

a)

SSE =Syy-(Sxy)2/Sxx=

127.300

	s2 =SSE/(n-2)=	42.4333
value of the standard error σ              =	=se =√s2=	6.5141

b)

test stat t =

(bo-β1)/se(β1)=

=

1.90

c)

Source	SS	df	MS	F
regression	153.900	1	153.900	3.627
Residual error	127.300	3	42.433
Total	281.200	4

value of the F test statistic =3.63