Consider the data. xi 1 2 3 4 5 yi 3 7 5 11 14 (D) Use the t test to test the following hypotheses (? = 0.05): H0: β1 = 0 Ha: β1 ≠ 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. (A) Reject H0. We cannot conclude that the relationship between x and y is significant. (B) Do not reject H0. We cannot conclude that the relationship between x and y is significant. (C) Do not reject H0. We conclude that the relationship between x and y is significant. (D) Reject H0. 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 of Variation Sum of Squares Degrees 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. (A) Do not reject H0. We conclude that the relationship between x and y is significant. (B) Do not reject H0. We cannot conclude that the relationship between x and y is significant. (C) Reject H0. We conclude that the relationship between x and y is significant. (D) Reject H0. We cannot conclude that the relationship between x and y is significant.
Consider the data. xi 1 2 3 4 5 yi 3 7 5 11 14 (D) Use the t test to test the following hypotheses (? = 0.05): H0: β1 = 0 Ha: β1 ≠ 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. (A) Reject H0. We cannot conclude that the relationship between x and y is significant. (B) Do not reject H0. We cannot conclude that the relationship between x and y is significant. (C) Do not reject H0. We conclude that the relationship between x and y is significant. (D) Reject H0. 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 of Variation Sum of Squares Degrees 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. (A) Do not reject H0. We conclude that the relationship between x and y is significant. (B) Do not reject H0. We cannot conclude that the relationship between x and y is significant. (C) Reject H0. We conclude that the relationship between x and y is significant. (D) Reject H0. 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
Consider the data.
|
xi
|
1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
|
yi
|
3 | 7 | 5 | 11 | 14 |
(D)
Use the t test to test the following hypotheses (? = 0.05):
| H0: | β1 | = | 0 |
| Ha: | β1 | ≠ | 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.
(A) Reject H0. We cannot conclude that the relationship between x and y is significant.
(B) Do not reject H0. We cannot conclude that the relationship between x and y is significant.
(B) Do not reject H0. We cannot conclude that the relationship between x and y is significant.
(C) Do not reject H0. We conclude that the relationship between x and y is significant.
(D) Reject H0. 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 of Variation |
Sum of Squares |
Degrees 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.
(A) Do not reject H0. We conclude that the relationship between x and y is significant.
(B) Do not reject H0. We cannot conclude that the relationship between x and y is significant.
(C) Reject H0. We conclude that the relationship between x and y is significant.
(D) Reject H0. We cannot conclude that the relationship between x and y is significant.
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