Consider the data.

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
H_a: β₁ ≠ 0

H₀: β₀ ≠ 0
H_a: β₀ = 0

H₀: β₁ ≠ 0
H_a: β₁ = 0

H₀: β₁ ≥ 0
H_a: β₁

H₀: β₀ = 0
H_a: 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.