We conduct a simple regression of size on hhinc. The regression output is reported in Table 1. Interpret the sign and magnitude of the estimated coefficients. fill in the table Table 1regress size hhincSourceSSdfMSNumber of obs5,407F(1, 5405)1613.34Model2631415661263141566Prob > F0.0000ResidualR-squared=Adj R-squared%3DTotal1.1447e+095,406211749.457Root MSE%3DsizeCoefficientStd. err.P>|t|[95% conf. interval]hhinc.0082545.000205540.170.000.0078516.0086574_cons800.98359.40491785.170.000782.5461819.4209c) Compute the Sum of Squared Residuals (SSR), R-squared (R^2), and Root MeanSquared Error from Table 1 (Root MSE). Interpret the R-squared.

Farmula used SST=SSR+SSM MSE=SSR/dfR dfT=dfModel+dfR

Table 1 regress size hhinc Source df MS Number of obs 5,407 %3D F(1, 5405) 1613.34 %3D Model 263141566 1 263141566 Prob > F 0.0000 %3D Residual R-squared %3D Adj R-squared Root MSE %3D Total 1.1447e+09 5,406 211749.457 size Coefficient Std. err. P>|t| [95% conf. interval] hhinc .0082545 .0002055 40.17 0.000 .0078516 .0086574 _cons 800.9835 9.404917 85.17 0.000 782.5461 819.4209 Compute the Sum of Squared Residuals (SSR), R-squared (R^2), and Root Mean Squared Error from Table 1 (Root MSE), Interpret the R-squared.

Table 1 regress size hhinc Source df MS Number of obs 5,407 %3D F(1, 5405) 1613.34 %3D Model 263141566 1 263141566 Prob > F 0.0000 %3D Residual R-squared %3D Adj R-squared Root MSE %3D Total 1.1447e+09 5,406 211749.457 size Coefficient Std. err. P>|t| [95% conf. interval] hhinc .0082545 .0002055 40.17 0.000 .0078516 .0086574 _cons 800.9835 9.404917 85.17 0.000 782.5461 819.4209 Compute the Sum of Squared Residuals (SSR), R-squared (R^2), and Root Mean Squared Error from Table 1 (Root MSE), Interpret the R-squared.

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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