You may need to use the appropriate technology to answer this question. Consider the data. xi 2 6 9 13 20 yi 6 16 8 27 21 (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 α = 0.05. State the null and alternative hypotheses. H0: β1 ≠ 0Ha: β1 = 0H0: β1 = 0Ha: β1 ≠ 0    H0: β0 = 0Ha: β0 ≠ 0H0: β0 ≠ 0Ha: β0 = 0H0: β1 ≥ 0Ha: 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. Do not reject H0. We conclude that the relationship between x and y is significant.Do not 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.Reject H0. We cannot conclude that the relationship between x and y is significant. (c) Use the F test to test for a significant relationship. Use α = 0.05. State the null and alternative hypotheses. H0: β1 ≥ 0Ha: β1 < 0H0: β0 = 0Ha: β0 ≠ 0    H0: β0 ≠ 0Ha: β0 = 0H0: β1 = 0Ha: β1 ≠ 0H0: β1 ≠ 0Ha: β1 = 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? 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.    Do not 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.

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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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You may need to use the appropriate technology to answer this question.
Consider the data.
xi
2 6 9 13 20
yi
6 16 8 27 21
(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 α = 0.05.
State the null and alternative hypotheses.
H0: β1 ≠ 0
Ha: β1 = 0H0: β1 = 0
Ha: β1 ≠ 0    H0: β0 = 0
Ha: β0 ≠ 0H0: β0 ≠ 0
Ha: β0 = 0H0: 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.
Do not reject H0. We conclude that the relationship between x and y is significant.Do not 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.Reject H0. We cannot conclude that the relationship between x and y is significant.
(c)
Use the F test to test for a significant relationship. Use α = 0.05.
State the null and alternative hypotheses.
H0: β1 ≥ 0
Ha: β1 < 0H0: β0 = 0
Ha: β0 ≠ 0    H0: β0 ≠ 0
Ha: β0 = 0H0: β1 = 0
Ha: β1 ≠ 0H0: β1 ≠ 0
Ha: β1 = 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?
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.    Do not 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.
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