Consider the data.

xi	1	2	3	4	5
yi	3	8	6	10	15

(a)Compute the mean square error using equation

s²= MSE =

SSE

n2

.

(Round your answer to two decimal places.)(b)Compute the standard error of the estimate using equation

s=

MSE

=

SSE n2

.

(Round your answer to three decimal places.)(c)Compute the estimated standard deviation of

b₁

using equation

s_b1=

s

(xix)2

.

(Round your answer to three decimal places.)(d)Use thettest to test the following hypotheses (= 0.05):

H0:	1	=	0
Ha:	1		0

Find the value of the test statistic. (Round your answer to three decimal places.)Find thep-value. (Round your answer to four decimal places.)p-value = State your conclusion.Do not rejectH₀. We conclude that the relationship betweenxandyis significant.RejectH₀. We cannot conclude that the relationship betweenxandyis significant. Do not rejectH₀. We cannot conclude that the relationship betweenxandyis significant.RejectH₀. We conclude that the relationship betweenxandyis significant.(e)Use theFtest to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format.Set up the ANOVA table. (Round your values for MSE andFto two decimal places, and yourp-valueto three 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 two decimal places.)Find thep-value. (Round your answer to three decimal places.)p-value = State your conclusion.Do not rejectH₀. We cannot conclude that the relationship betweenxandyis significant.Do not rejectH₀. We conclude that the relationship betweenxandyis significant. RejectH₀. We conclude that the relationship betweenxandyis significant.RejectH₀. We cannot conclude that the relationship betweenxandyis significant.