In the following problems, find the equation of the least squared regression line and the correlation coefficient. Then perform a hypothesis test to determine if there is a significant relationship between the two variables. Use the p-value method and show all 5 steps of the hypothesis test. Test at a= 0.05 . 1. The numbers of faculty and students are shown for a random selection of small colleges. Faculty, x 99 110 113 116 138 174 220 Students, y 1353 1290 1091 1213 1384 1283 2075

In the following problems, find the equation of the least squared regression line and the correlation coefficient. Then perform a hypothesis test to determine if there is a significant relationship between the two variables. Use the p-value method and show all 5 steps of the hypothesis test. Test at a= 0.05 . 1. The numbers of faculty and students are shown for a random selection of small colleges. Faculty, x 99 110 113 116 138 174 220 Students, y 1353 1290 1091 1213 1384 1283 2075

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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2. Given the following sets of information, find the linear least squares regression and the correlation coefficient.