Consider the data.xi2691320yi72072522(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 ≠ 0Ha: ?1 = 0H0: ?1 = 0Ha: ?1 ≠ 0 H0: ?0 = 0Ha: ?0 ≠ 0H0: ?0 ≠ 0Ha: ?0 = 0H0: ?1 ≥ 0Ha: ?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.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 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: ?0 = 0Ha: ?0 ≠ 0H0: ?1 = 0Ha: ?1 ≠ 0 H0: ?0 ≠ 0Ha: ?0 = 0H0: ?1 ≠ 0Ha: ?1 = 0H0: ?1 ≥ 0Ha: ?1 < 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?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.Reject H0. We cannot conclude that the relationship between x and y is significant.

Given Data is xi 2 6 9 13 20 yi 7 20 7 25 22

Answered: Consider the data. xi 2 6 9 13 20 yi 7…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Question

Consider the data.

x_i	2	6	9	13	20
y_i	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: ?₁ = 0
H_a: ?₁ ≠ 0 H₀: ?₀ = 0
H_a: ?₀ ≠ 0H₀: ?₀ ≠ 0
H_a: ?₀ = 0H₀: ?₁ ≥ 0
H_a: ?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 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 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: ?₀ = 0
H_a: ?₀ ≠ 0H₀: ?₁ = 0
H_a: ?₁ ≠ 0 H₀: ?₀ ≠ 0
H_a: ?₀ = 0H₀: ?₁ ≠ 0
H_a: ?₁ = 0H₀: ?₁ ≥ 0
H_a: ?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 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.Reject H₀. We cannot conclude that the relationship between x and y is significant.

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