Let Y = β0 + β1x + E be the simple linear regression model. What is the interpretation of the least squares estimate for β0? Select one: a. It is an estimate of the expected value of the response variable Y when the explanatory variable X is zero. b. It is an estimate of the change in the expected value of the explanatory variable X for every unit increase in the response variable Y. c. It is an estimate of the change in the expected value of the response variable Y for every unit increase in the explanatory variable X.

Let Y = β0 + β1x + E be the simple linear regression model. What is the interpretation of the least squares estimate for β0? Select one: a. It is an estimate of the expected value of the response variable Y when the explanatory variable X is zero. b. It is an estimate of the change in the expected value of the explanatory variable X for every unit increase in the response variable Y. c. It is an estimate of the change in the expected value of the response variable Y for every unit increase in the explanatory variable X.

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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