You may need to use the appropriate technology to answer this question. Consider the data. x i 1 2 3 4 5 y i 4 8 6 12 15 (a) Compute the mean square error using equation s 2 = MSE = SSE n − 2 . (Round...


You may need to use the appropriate technology to answer this question.

Consider the data.





















xi

12345

yi

4861215


(a)


Compute the mean square error using equation
s2 = MSE =









SSE
n − 2

.

(Round your answer to two decimal places.)





(b)


Compute the standard error of the estimate using equation
s =







MSE

=

















SSE
n − 2


.

(Round your answer to three decimal places.)





(c)


Compute the estimated standard deviation of
b1

using equation
sb1 =









s








Σ(xi − x)2


.

(Round your answer to three decimal places.)





(d)


Use thet test 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.


RejectH
0. We cannot conclude that the relationship betweenx andy is significant.Do not rejectH
0. We conclude that the relationship betweenx andy is significant.     RejectH
0. We conclude that the relationship betweenx andy is significant.Do not rejectH
0. We cannot conclude that the relationship betweenx andy is significant.





(e)


Use theF test 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 andF to two decimal places, and yourp-value to 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.


RejectH
0. We conclude that the relationship betweenx andy is significant.RejectH
0. We cannot conclude that the relationship betweenx andy is significant.     Do not rejectH
0. We conclude that the relationship betweenx andy is significant.Do not rejectH
0. We cannot conclude that the relationship betweenx andy is significant.



Jun 10, 2022
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