Consider the data. 2 3 4 8. 11 13 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 = 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): Hoi B, = 0 H B, 0 %3D 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 H We conclude that the relationship between x and y is significant. O Reject H We conclude that the relationship between x and y is significant. O Do not reject H. We cannot 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.
Consider the data. 2 3 4 8. 11 13 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 = 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): Hoi B, = 0 H B, 0 %3D 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 H We conclude that the relationship between x and y is significant. O Reject H We conclude that the relationship between x and y is significant. O Do not reject H. We cannot 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.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Question
The second slide is the first part of the question and the first slide is the second part of the question.
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 Fto two decimal places, and your p-value to three decimal places.)
Source
of Variation
Sure
of Squares
Hean
N Freedonn
pvalue
Regression
Error
Total
Find the value of the test statistic. (Round your answer to two decimal places.)
tFind the p-value. (Round your answer to three decimal places.)
p-value
State your conclusion.
O Do not reject H. We conclude that the relationship between x and y is significant.
O Reject H,. We conclude that the relationship between x and y is significant.
O Do not reject H,. We cannot 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.
Transcribed Image Text:Consider the data.
1.
2.
4
2 8
1
13
SSE
(a) Compute the mean square error using equation s = MSE
(Round your answer to two decimal places.)
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, = =Z
V>(x, - x)*
(Round your answer to three decimal places.)
(d) Use the t test to test the following hypotheses (a = 0.05):
Hg: B, = 0
H. B, 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.
O Do not reject H. We conclude that the relationship between x and y is significant.
O Reject H.. We conclude that the relationship between x and y is significant.
O Do not reject H,. We cannot concl ude that the relationship between xand y is significant.
O Reject H,. We cannot conclude that the relationship betweenx and y is significant.
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