the data and sample regression equation shown below, do the following. a. Decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 95% confidence interval for the slope of the population regression line. x y 0 7 7 2 40 418-9 7 y=-0.853 +0.763x, x₁ = 20, x² = 118, b₁ = 0.763, and s₁ = 7.4087 a. What are the hypotheses for the test? OA. Ho: B₁ #0 and H₁: B₁ = 0 OB. Ho: B₁ = 0 and H.: B. 0

the data and sample regression equation shown below, do the following. a. Decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 95% confidence interval for the slope of the population regression line. x y 0 7 7 2 40 418-9 7 y=-0.853 +0.763x, x₁ = 20, x² = 118, b₁ = 0.763, and s₁ = 7.4087 a. What are the hypotheses for the test? OA. Ho: B₁ #0 and H₁: B₁ = 0 OB. Ho: B₁ = 0 and H.: B. 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 4GP

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Question

What is the test statistic?

(Round to two decimal places as needed.)

Find the P-value.

P-value=

(Round to three decimal places as needed.)

Which of the following is the correct conclusion for the hypothesis test?

Do not reject

H0;

the data

provide

sufficient evidence to conclude that x is useful for predicting y.

Reject

H0;

the data

provide

sufficient evidence to conclude that x is useful for predicting y.

Do not reject

H0;

the data

do not provide

sufficient evidence to conclude that x is useful for predicting y.

This is the correct answer.

Reject

H0;

the data

do not provide

sufficient evidence to conclude that x is useful for predicting y.

b. Find a

95%

confidence interval for the slope of the population regression line.

The

95%

confidence interval for

β1

is from

(Round to three decimal places as nee

For the data and sample regression equation shown below, do the following.
a. Decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that x is
useful for predicting y.
b. Find a 95% confidence interval for the slope of the population regression line.
X
y
077 2
4
1 8 -9 7
y=-0.853 +0.763x, x₁ = 20, x₁² = 118, b₁ = 0.763, and s₂ = 7.4087
40
a. What are the hypotheses for the test?
A. Ho: B₁ #0 and H₂: B₁ = 0
B. Ho: B₁ = 0 and H₂: B₁ >0
a
C. Ho: B₁0 and H₂: B₁ #0
Ho: B₁ = 0 and H₂: B₁ <0
What is the test statistic?
t= (Round to two decimal places as needed.)

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