Consider the data. X, 12 3 4 5 y 4 7 5 12 15 (a) Compute the mean square error using equation s² = MSE = SSE (Round your answer to two decimal places.) n-2 (b) Compute the standard error of the estimate using equations MSE = places.) SSE (Round your answer to three decimal n-2 (c) Compute the estimated standard deviation of b, using equation Spy places.) S (Round your answer to three decimal ΣΧ x)² (d) Use the t test to test the following hypotheses (a = 0.05): Ho P₁ = 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho. We cannot 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. Do not reject H. We cannot conclude that the relationship between x and y is significant. Reject Ho. We conclude that the relationship between x and y is significant. (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 Sum Degrees of Variation of Squares 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 the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Reject H. We cannot conclude that the relationship between x and y is significant. 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 Ho. We conclude that the relationship between x and y is significant.
Consider the data. X, 12 3 4 5 y 4 7 5 12 15 (a) Compute the mean square error using equation s² = MSE = SSE (Round your answer to two decimal places.) n-2 (b) Compute the standard error of the estimate using equations MSE = places.) SSE (Round your answer to three decimal n-2 (c) Compute the estimated standard deviation of b, using equation Spy places.) S (Round your answer to three decimal ΣΧ x)² (d) Use the t test to test the following hypotheses (a = 0.05): Ho P₁ = 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho. We cannot 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. Do not reject H. We cannot conclude that the relationship between x and y is significant. Reject Ho. We conclude that the relationship between x and y is significant. (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 Sum Degrees of Variation of Squares 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 the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Reject H. We cannot conclude that the relationship between x and y is significant. 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 Ho. We conclude that the relationship between x and y is significant.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Consider the data.
X, 12 3 4
5
y 4 7 5 12 15
(a) Compute the mean square error using equation s² = MSE =
SSE
(Round your answer to two decimal places.)
n-2
(b) Compute the standard error of the estimate using equations MSE =
places.)
SSE
(Round your answer to three decimal
n-2
(c) Compute the estimated standard deviation of b, using equation Spy
places.)
S
(Round your answer to three decimal
ΣΧ
x)²
(d) Use the t test to test the following hypotheses (a = 0.05):
Ho P₁ = 0
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Reject Ho. We cannot 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.
Do not reject H. We cannot conclude that the relationship between x and y is significant.
Reject Ho. We conclude that the relationship between x and y is significant.
(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
Sum
Degrees
of Variation of Squares 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 the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Reject H. We cannot conclude that the relationship between x and y is significant.
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 Ho. We conclude that the relationship between x and y is significant.
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