For the data and sample regression equation shown below, do the following.a. Decide, at the 10% significance level, whether the data provide sufficient evidence toconclude that x is useful for predicting y.b. Find a 90% confidence interval for the slope of the population regression line.4 3 1013 -32y=-1.5 +1.1x, x₁ = 10, Σx₁²=30, b₁ = 1.1, and se = 3.3690Xy24a. What are the hypotheses for the test?O A. Ho: B₁ = 0 and H₂: B₁ #0OB. Ho: B₁0 and H₂: B₁ >0O C.Ho: B₁ #0 and H₂: B₁ = 0O D. Ho: P₁ = 0 and H₂: B₁ <0What 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?O A. Reject Ho; the data provide sufficient evidence to conclude that x is useful forpredicting y.O B. Do not reject Ho; the data provide sufficient evidence to conclude that x is useful forpredicting y.O C. Do not reject Ho; the data do not provide sufficient evidence to conclude that x isuseful for predicting y.O D. Reject Ho; the data do not provide sufficient evidence to conclude that x is useful forpredicting y.b. Find a 90% confidence interval for the slope of the population regression line.The 90% confidence interval for B₁ is from to(Round to three decimal places as needed.)

Given: n = 4 Y = -1.5 + 1.1X Formula Used: Test-statistic t = b-βSe Confidence interval = b ± t*se

Answered: For the data and sample regression…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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