Consider the data.

xi	2	6	9	13	20
yi	7	20	7	25	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: ₁ = 0 H_a: ₁ 0H₀: ₀ = 0 H_a: ₀ 0 H₀: ₀ 0 H_a: ₀ = 0H₀: ₁ 0 H_a: ₁ = 0H₀: ₁ 0 H_a: ₁ < 0Find 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 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.(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 0H₀: ₀ 0 H_a: ₀ = 0 H₀: ₁ 0 H_a: ₁ = 0H₀: ₁ 0 H_a: ₁ < 0H₀: ₀ = 0 H_a: ₀ 0Find 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 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.