Consider the data. x i 1 2 3 4 5 y i 3 8 5 10 14 (a) Compute the mean square error using equation s 2 = MSE= SSE n − 2 . (Round your answer to two decimal places.) (b) Compute the standard error of...

Consider the data.

x_i	1	2	3	4	5
y_i	3	8	5	10	14

(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

s_b1 =

Σ(x_i − x)²

(Round your answer to three decimal places.)

(d)

Use thet test to test the following hypotheses (? = 0.05):

H₀:	?₁	=	0
H_a:	?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 rejectH
₀. We cannot 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.

RejectH
₀. We 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.

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.

RejectH
₀. We conclude that the relationship betweenx andy is significant.

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

Jun 08, 2022

SOLUTION.PDF

Consider the data. x i 1 2 3 4 5 y i 3 8 5 10 14 (a) Compute the mean square error using equation s 2 = MSE= SSE n − 2 . (Round your answer to two decimal places.) (b) Compute the standard error of...

Get Answer To This Question

Related Questions & Answers

Submit New Assignment