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)?
   
   
   What is the p-value?
   - Select your answer -less than .01between .01 and .02between .02 and .05between .05 and .10between .10 and .20between .20 and .40greater than .40Item 3
   
   What is your conclusion (α = .05)?
   - Select your answer -Conclude a significant relationship exists between x and yCannot conclude a significant relationship exists between x and yItem 4
   
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).
   
   
   What is the p-value?
   - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 6
   
   What is your conclusion?
   - Select your answer -Conclude a significant relationship exists between x and yCannot conclude a significant relationship exists between x and yItem 7

Answer 1

SSE =Syy-(Sxy)2/Sxx=

127.300

s2 =SSE/(n-2)=

42.4333

a)

std error σ              =

=se =√s2=

6.5141

b)

estimated std error of slope =se(β1) =s/√Sxx=	0.4726
test stat t =	(bo-β1)/se(β1)=	=	1.90
p value:		=	0.1530

between .10 and .20

Cannot conclude a significant relationship exists between x and y

c)

Source	SS	df	MS	F	p value
regression	153.900	1	153.900	3.627	0.153
Residual error	127.300	3	42.433
Total	281.200	4

value of the F test statistic =3.63

greater than .10

Cannot conclude a significant relationship exists between x and y