Contains 20 observations on the response variable y along with the predictor variables x and d. y x d 26 80 1 16 80 1 24 59 0 13 51 0 17 55 0 16 55 1 8 20 0 15 35 1 21 48 0 17 42 0 20 78 1 14 52 1 20 62 0 15 32 0 23 45 1 6 27 0 17 65 0 22 59 1 8 21 0 15 30 1 a. Estimate a regression model with the predictor variables x and d, and then extend it to also include the interaction variable xd. What is the estimated regression coefficient for the predictor variable x in both models? (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) ) Model 1(No Interaction) = Model 2 (Interaction)= a-2. Use the preferred model to predict y. (Round coefficient estimates to at least 4 decimal places and final answers to 2 decimal places.) Predictor Variables Predicted Y x=15, d=0 ? x=15, d=1. ?

Contains 20 observations on the response variable y along with the predictor variables x and d. y x d 26 80 1 16 80 1 24 59 0 13 51 0 17 55 0 16 55 1 8 20 0 15 35 1 21 48 0 17 42 0 20 78 1 14 52 1 20 62 0 15 32 0 23 45 1 6 27 0 17 65 0 22 59 1 8 21 0 15 30 1 a. Estimate a regression model with the predictor variables x and d, and then extend it to also include the interaction variable xd. What is the estimated regression coefficient for the predictor variable x in both models? (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) ) Model 1(No Interaction) = Model 2 (Interaction)= a-2. Use the preferred model to predict y. (Round coefficient estimates to at least 4 decimal places and final answers to 2 decimal places.) Predictor Variables Predicted Y x=15, d=0 ? x=15, d=1. ?

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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