Coastal State University is conducting a study regarding the possible relationship between the cumulative grade point average and the annual income of itsrecent graduates. A random sample of 147 Coastal State graduates from the last five years was selected, and it was found that the least-squares regressionequation relating cumulative grade point average (denoted by x, on a 4-point scale) and annual income (denoted by y, in thousands of dollars) wasy = 37.79+5.51x. The standard error of the slope of this least-squares regression line was approximately 2.10.Test for a significant linear relationship between grade point average and annual income for the recent graduates of Coastal State by doing a hypothesis testregarding the population slope B1. (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions aresatisfied.) Use the 0.05 level of significance, and perform a two-tailed test. Then complete the parts below.(If necessary, consult a list of formulas.)(a) State the null hypothesis H and the alternative hypothesis H.H :H :0OSO(b) Determine the type of test statistic to use.O20O

Answered: Image /qna-images/answer/b1c2e4d2-ab45-4c6b-8bb2-8ba2840f8922.jpg

Answered: Coastal State University is conducting…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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