Consider the data. xi 2 6 9 13 20 yi 6 19 9 28 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: ?0 = 0 Ha: ?0 ≠ 0 -H0: ?0 ≠ 0 Ha: ?0 = 0 -H0: ?1 ≠ 0 Ha: ?1 = 0 -H0: ?1 ≥ 0 Ha: ?1 < 0 -H0: ?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: ?1 = 0 Ha: ?1 ≠ 0 -H0: ?0 = 0 Ha: ?0 ≠ 0 - H0: ?0 ≠ 0 Ha: ?0 = 0 -H0: ?1 ≠ 0 Ha: ?1 = 0 -H0: ?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 = ??
Consider the data. xi 2 6 9 13 20 yi 6 19 9 28 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: ?0 = 0 Ha: ?0 ≠ 0 -H0: ?0 ≠ 0 Ha: ?0 = 0 -H0: ?1 ≠ 0 Ha: ?1 = 0 -H0: ?1 ≥ 0 Ha: ?1 < 0 -H0: ?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: ?1 = 0 Ha: ?1 ≠ 0 -H0: ?0 = 0 Ha: ?0 ≠ 0 - H0: ?0 ≠ 0 Ha: ?0 = 0 -H0: ?1 ≠ 0 Ha: ?1 = 0 -H0: ?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 = ??
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
|
2 | 6 | 9 | 13 | 20 |
|---|---|---|---|---|---|
|
yi
|
6 | 19 | 9 | 28 | 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: ?0 = 0
Ha: ?0 ≠ 0
Ha: ?0 ≠ 0
-H0: ?0 ≠ 0
Ha: ?0 = 0
Ha: ?0 = 0
-H0: ?1 ≠ 0
Ha: ?1 = 0
Ha: ?1 = 0
-H0: ?1 ≥ 0
Ha: ?1 < 0
Ha: ?1 < 0
-H0: ?1 = 0
Ha: ?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: ?1 = 0
Ha: ?1 ≠ 0
Ha: ?1 ≠ 0
-H0: ?0 = 0
Ha: ?0 ≠ 0
Ha: ?0 ≠ 0
- H0: ?0 ≠ 0
Ha: ?0 = 0
Ha: ?0 = 0
-H0: ?1 ≠ 0
Ha: ?1 = 0
Ha: ?1 = 0
-H0: ?1 ≥ 0
Ha: ?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 = ??
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