Consider the data.

xi	1	2	3	4	5
yi	4	7	5	11	13

(a)

Compute the mean square error usingequation  s² = MSE =

SSE

n −2

 . (Round your answer to two decimal places.)

(b)

Compute the standard error of the estimate using equations =

MSE

=

SSE n −2

 . (Round your answer to three decimal places.)

(c)

Compute the estimated standard deviation of

b₁

using equations_b1 =

s

Σ(xi −x)2

. (Round your answer to three decimal places.)

(d)

Use the t test to test the following hypotheses(α = 0.05):

H0:	β1	=	0
Ha:	β1	â‰	0

Find the value of the test statistic. (Round your answer tothree decimal places.)

Find the p-value. (Round your answer to four decimalplaces.)

p-value =

State your conclusion.

Reject H₀. We cannot conclude that therelationship between x and y is significant.Reject H₀. We conclude that the relationshipbetween x and y issignificant.      Do not rejectH₀. We cannot conclude that the relationshipbetween x and y is significant. Do not rejectH₀. We conclude that the relationship betweenx and y is significant.

(e)

Use the F test to test the hypotheses in part (d) at a0.05 level of significance. Present the results in the analysis ofvariance table format.

Set up the ANOVA table. (Round your values for MSE andF to two decimal places, and your p-value tothree decimal places.)

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
Regression
Error
Total

Find the value of the test statistic. (Round your answer to twodecimal places.)

Find the p-value. (Round your answer to three decimalplaces.)

p-value =

State your conclusion.

Do not reject H₀. We cannot conclude thatthe relationship between x and y is significant.Reject H₀. We conclude that the relationshipbetween x and y issignificant.      Do not rejectH₀. We conclude that the relationship betweenx and y is significant.RejectH₀. We cannot conclude that the relationshipbetween x and y is significant.