Consider the data. xi 1 2 3 4 5 yi 3 7 5 11 14 (D) Use the t test to test the following hypotheses (? = 0.05): H0: β1 = 0 Ha: β1 ≠ 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. (A) Reject H0. We cannot conclude that the relationship between x and y is significant. (B) Do not reject H0. We cannot conclude that the relationship between x and y is significant. (C) Do not reject H0. We conclude that the relationship between x and y is significant. (D) Reject H0. We conclude that the relationship between x and y is significant. (E) Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Regression _ __ _ _ ____ Error _ __ Total _ ____ 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 = ___ State your conclusion. (A) Do not reject H0. We conclude that the relationship between x and y is significant. (B) Do not reject H0. We cannot conclude that the relationship between x and y is significant. (C) Reject H0. We conclude that the relationship between x and y is significant. (D) Reject H0. We cannot conclude that the relationship between x and y is significant.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 62E

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Question

Consider the data.

x_i	1	2	3	4	5
y_i	3	7	5	11	14

(D)

Use the t test to test the following hypotheses (? = 0.05):

H₀:	β₁	=	0
H_a:	β₁	≠	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.

(A) Reject H₀. We cannot conclude that the relationship between x and y is significant.
(B) Do not reject H₀. We cannot conclude that the relationship between x and y is significant.

(D) Reject H₀. We conclude that the relationship between x and y is significant.

(E) Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format.

Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.)

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
Regression	_____	______	___	_	______
Error	_____	______	____
Total	_____	________

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 = _____

State your conclusion.

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

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

(D) Reject H₀. We cannot conclude that the relationship between x and y is significant.

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