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
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Chapter1: Starting With Matlab
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(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:(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
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.
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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