You may need to use the appropriate technology to answer this question. Consider the data. 12 20 14 Yi 60 40 65 5 15 (a) Compute the mean square error using equation s² = MSE = SSE n-2 (b) Compute the standard error of the estimate using equations = √MSE = (c) Compute the estimated standard deviation of b, using equation sb (d) Use the t test to test the following hypotheses (α = 0.05): Ho: B₁ = 0 H₂: ß₂0 (Round your answer to two decimal places.) SSE n-2 S (Σ(χ, - Χ) Find the value of the test statistic. (Round your answer to three decimal places.) 8.396 .(Round your answer to three decimal places.) (Round your answer to three decimal places.)
You may need to use the appropriate technology to answer this question. Consider the data. 12 20 14 Yi 60 40 65 5 15 (a) Compute the mean square error using equation s² = MSE = SSE n-2 (b) Compute the standard error of the estimate using equations = √MSE = (c) Compute the estimated standard deviation of b, using equation sb (d) Use the t test to test the following hypotheses (α = 0.05): Ho: B₁ = 0 H₂: ß₂0 (Round your answer to two decimal places.) SSE n-2 S (Σ(χ, - Χ) Find the value of the test statistic. (Round your answer to three decimal places.) 8.396 .(Round your answer to three decimal places.) (Round your answer to three decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:(e) Use the F 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 and F to two decimal places, and your p-value to three decimal places.)
Source
of Variation
Regression
Error
Total
Sum
of Squares
2531.25
298.75
2830
1
3
4
Degrees
of Freedom
Find the p-value. (Round your answer to three decimal places.)
p-value =
Mean
Square
2531.25
99.58
Find the value of the test statistic. (Round your answer to two decimal places.)
25.42
State your conclusion.
O Reject Ho. We conclude that the relationship between x and y is significant.
Do not reject Ho. We cannot conclude that the relationship between x and y is significant.
Do not reject H. We conclude that the relationship between x and y is significant.
Reject H. We cannot conclude that the relationship between x and y is significant.
F
0.015
p-value

Transcribed Image Text:You may need to use the appropriate technology to answer this question.
Consider the data.
X;
Yi
3 12
60 40
6
20 14
65 5 15
(a) Compute the mean square error using equation s² = MSE =
SSE
n-2
(b) Compute the standard error of the estimate using equations = ✓MSE
(c) Compute the estimated standard deviation of b, using equation 5b₁
(d) Use the t test to test the following hypotheses (α = 0.05):
Ho: B₁ = 0
H₂: B₁ * 0
(Round your answer to two decimal places.)
=
Σ(Χ
SSE
n-2
S
x)²
Find the value of the test statistic. (Round your answer to three decimal places.)
8.396
x
(Round your answer to three decimal places.)
(Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0150
State your conclusion.
Reject H₁. We cannot conclude that the relationship between x and y is significant.
Do not reject H. We cannot conclude that the relationship between x and y is significant.
Reject H. We conclude that the relationship between x and y is significant.
Do not reject Ho. We conclude that the relationship between x and y is significant.
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