(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 1901.25 Degrees of Freedom 1901.25 Mean Square 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= p-value State your conclusion. 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. 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.
(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 1901.25 Degrees of Freedom 1901.25 Mean Square 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= p-value State your conclusion. 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. 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
Related questions
Question
Transcribed Image Text:You may need to use the appropriate technology to answer this question.
Consider the data.
72.92
3
8.539
12 6
(a) Compute the mean square error using equation s2 = MSE=. SSE
n-2
20 14
0.636
Y₁ 55 40 55 5 15
(b) Compute the standard error of the estimate using equation s= √MSE=
(c) Compute the estimated standard deviation of
- (Round your answer to two decimal places.)
D₁ using equation Sp
(d) Use the t test to test the following hypotheses (a = 0.05):
Ho: P₁ = 0
Find the p-value. (Round your answer to four decimal places.)
p-value 0.0145
SSE
n-2
Find the value of the test statistic. (Round your answer to three decimal places.)
-5.106
(Round your answer to three decimal places.)
-√2X41-42.
T. (Round your answer to three decimal places.)
Transcribed Image Text:State your conclusion.
O Do not 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 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.
(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 1901.25
Error
Sum
Degrees
of Squares of Freedom
Total
1901.25
Mean
Square
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=
p-value
State your conclusion.
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.
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.
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