Question

Consider the data. xi 2 6 9 13 20 yi 9 18 8 25 21 a....

Consider the data.

xi

2 6 9 13 20

yi

9 18 8 25 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 ≠ 0

H0: β0 ≠ 0
Ha: β0 = 0

H0: β1 ≠ 0
Ha: β1 = 0

H0: β1 ≥ 0
Ha: β1 < 0

H0: β0 = 0
Ha: β0 ≠ 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.

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.

Do not reject H0. We cannot conclude that the relationship between x and y is significant.

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2. se(p) test St o,チ vals a gins p value o aa we hae

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