You may need to use the appropriate technology to answer this question.Consider the data.

xi	2	6	9	13	20
yi	8	18	8	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: ₁ 0 H_a: ₁ = 0

H₀: ₁ 0 H_a: ₁ < 0

H₀: ₁ = 0 H_a: ₁ 0

H₀: ₀ = 0 H_a: ₀ 0

H₀: ₀ 0 H_a: ₀ = 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 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.

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 H_a: ₁ < 0

H₀: ₁ 0 H_a: ₁ = 0

H₀: ₀ 0 H_a: ₀ = 0

H₀: ₁ = 0 H_a: ₁ 0

H₀: ₀ = 0 H_a: ₀ 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.