Consider the data. 23 4 3 8 6. 10 15 SSE (a) Compute the mean square error using equation s = MSE = (Round your answer to two decimal places.) n-2 SSE (b) Compute the standard error of the estimate using equation S = V MSE = (Round your answer to three decimal places.) n- 2 (c) Compute the estimated standard deviation of b, using equation S. = . (Round your answer to three decimal places.) (d) Use the t test to test the following hypotheses (a = 0.05): %3D Ho:ßq = 0 %3! 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. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ha. We cannot conclude that the relationship between x and y is significant. O Reject H. 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.) Mean Source of Variation Degrees of Freedom Sum p-value of Squares Square 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. O Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ho. 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. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant.
Consider the data. 23 4 3 8 6. 10 15 SSE (a) Compute the mean square error using equation s = MSE = (Round your answer to two decimal places.) n-2 SSE (b) Compute the standard error of the estimate using equation S = V MSE = (Round your answer to three decimal places.) n- 2 (c) Compute the estimated standard deviation of b, using equation S. = . (Round your answer to three decimal places.) (d) Use the t test to test the following hypotheses (a = 0.05): %3D Ho:ßq = 0 %3! 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. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ha. We cannot conclude that the relationship between x and y is significant. O Reject H. 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.) Mean Source of Variation Degrees of Freedom Sum p-value of Squares Square 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. O Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ho. 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. O Do not reject Ho. We cannot 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.
1
2
3
4
5
10
15
SSE
(a) Compute the mean square error using equation s = MSE =
(Round your answer to two decimal places.)
n - 2
SSE
(b) Compute the standard error of the estimate using equation S = V MSE =
(Round your answer to three decimal places.)
n - 2
(c) Compute the estimated standard deviation of b, using equation sS. = . (Round your answer to three decimal places.)
E(x, - x)2
(d) Use the t test to test the following hypotheses (a = 0.05):
Ho:B1 = 0
Hoißa
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 =
%3D
State your conclusion.
O Do not reject Ho. We cannot conclude that the relationship between x and y is significant.
O Do not reject Ho. We conclude that the relationship between x and y is significant.
O Reject H.. We cannot conclude that the relationship between x and y is significant.
O 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.)
Mean
Degrees
of Freedom
Source
Sum
p-value
of Variation
of Squares
Square
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.
O Do not reject Ho. We conclude that the relationship between x and y is significant.
O Reject Ho. 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.
O Do not reject Ho. We cannot conclude that the relationship between x and y is significant.
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