Instead of using WLS, the researcher in the previous problem decides tocompute the OLS estimator using only the observations for which x≤ 10,then using only the observations for which x > 10, and then using theaverage the two OLS of estimators. Is this estimator more efficient thanWLS?

Instead of using WLS, the researcher in the previous problem decides tocompute the OLS estimator using only the observations for which x≤ 10,then using only the observations for which x > 10, and then using theaverage the two OLS of estimators. Is this estimator more efficient thanWLS?

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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The following table was generated from the sample data of 10 junior high students regarding the average number of hours they are unsupervised per night, the average number of hours they play video games per night, and their final grades in their math class. The dependent variable is the final grade, the first independent variable (x1) is the number of hours unsupervised each night, and the second independent variable (x2) is the number of hours of video games each night. Intercept 52.536016 9.353956 5.616449 0.000802 Hours Unsupervised 7.173889 1.656518 4.330703 0.003435 Hours Playing Video Games 2.025042 1.731352 1.169631 0.280429 Step 1 of 2:Write the multiple regression equation for the computer output given. Round your answers to three decimal places. Step 2 of 2:Indicate if any of the independent variables could be eliminated at the 0.010.01 level of significance. (x1, x2, or keep all variables)
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