Consider the data. xi 2 6 9 13 20 yi 7 20 7 25 22 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test for a significant relationship by using the t test. Use ? = 0.05. State the null and alternative hypotheses. H0: ?1 ≠ 0 Ha: ?1 = 0H0: ?1 = 0 Ha: ?1 ≠ 0 H0: ?0 = 0 Ha: ?0 ≠ 0H0: ?0 ≠ 0 Ha: ?0 = 0H0: ?1 ≥ 0 Ha: ?1 < 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. Do not reject H0. We cannot conclude that the relationship between x and y is significant.Do not reject H0. We conclude that the relationship between x and y is significant. Reject H0. We cannot conclude that the relationship between x and y is significant.Reject H0. We conclude that the relationship between x and y is significant. (c) Use the F test to test for a significant relationship. Use ? = 0.05. State the null and alternative hypotheses. H0: ?0 = 0 Ha: ?0 ≠ 0H0: ?1 = 0 Ha: ?1 ≠ 0 H0: ?0 ≠ 0 Ha: ?0 = 0H0: ?1 ≠ 0 Ha: ?1 = 0H0: ?1 ≥ 0 Ha: ?1 < 0 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 = What is your conclusion?
Consider the data. xi 2 6 9 13 20 yi 7 20 7 25 22 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test for a significant relationship by using the t test. Use ? = 0.05. State the null and alternative hypotheses. H0: ?1 ≠ 0 Ha: ?1 = 0H0: ?1 = 0 Ha: ?1 ≠ 0 H0: ?0 = 0 Ha: ?0 ≠ 0H0: ?0 ≠ 0 Ha: ?0 = 0H0: ?1 ≥ 0 Ha: ?1 < 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. Do not reject H0. We cannot conclude that the relationship between x and y is significant.Do not reject H0. We conclude that the relationship between x and y is significant. Reject H0. We cannot conclude that the relationship between x and y is significant.Reject H0. We conclude that the relationship between x and y is significant. (c) Use the F test to test for a significant relationship. Use ? = 0.05. State the null and alternative hypotheses. H0: ?0 = 0 Ha: ?0 ≠ 0H0: ?1 = 0 Ha: ?1 ≠ 0 H0: ?0 ≠ 0 Ha: ?0 = 0H0: ?1 ≠ 0 Ha: ?1 = 0H0: ?1 ≥ 0 Ha: ?1 < 0 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 = What is your conclusion?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Consider the data.
|
xi
|
2 | 6 | 9 | 13 | 20 |
|---|---|---|---|---|---|
|
yi
|
7 | 20 | 7 | 25 | 22 |
(a)
What is the value of the standard error of the estimate? (Round your answer to three decimal places.)
(b)
Test for a significant relationship by using the t test. Use ? = 0.05.
State the null and alternative hypotheses.
H0: ?1 ≠ 0
Ha: ?1 = 0H0: ?1 = 0
Ha: ?1 ≠ 0 H0: ?0 = 0
Ha: ?0 ≠ 0H0: ?0 ≠ 0
Ha: ?0 = 0H0: ?1 ≥ 0
Ha: ?1 < 0
Ha: ?1 = 0H0: ?1 = 0
Ha: ?1 ≠ 0 H0: ?0 = 0
Ha: ?0 ≠ 0H0: ?0 ≠ 0
Ha: ?0 = 0H0: ?1 ≥ 0
Ha: ?1 < 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.
Do not reject H0. We cannot conclude that the relationship between x and y is significant.Do not reject H0. We conclude that the relationship between x and y is significant. Reject H0. We cannot conclude that the relationship between x and y is significant.Reject H0. We conclude that the relationship between x and y is significant.
(c)
Use the F test to test for a significant relationship. Use ? = 0.05.
State the null and alternative hypotheses.
H0: ?0 = 0
Ha: ?0 ≠ 0H0: ?1 = 0
Ha: ?1 ≠ 0 H0: ?0 ≠ 0
Ha: ?0 = 0H0: ?1 ≠ 0
Ha: ?1 = 0H0: ?1 ≥ 0
Ha: ?1 < 0
Ha: ?0 ≠ 0H0: ?1 = 0
Ha: ?1 ≠ 0 H0: ?0 ≠ 0
Ha: ?0 = 0H0: ?1 ≠ 0
Ha: ?1 = 0H0: ?1 ≥ 0
Ha: ?1 < 0
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 =
What is your conclusion?
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