Consider the data. xi 2 6 9 13 20 yi 9 20 11 25 24 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.)   (b)

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Consider the data.
xi
2 6 9 13 20
yi
9 20 11 25 24
(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 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.
Do not 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 ? = 0.05.
State the null and alternative hypotheses.
H0: ?0 ≠ 0
Ha: ?0 = 0
 
H0: ?1 ≥ 0
Ha: ?1 < 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 = 
What is your conclusion?
Do not reject H0. We cannot conclude that the relationship between x and y is significant.
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 conclude that the relationship between x and y is significant.
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