The questions below are based on a dataset containing the characteristics of 5,407households. In particular, we will use the following variables:- size: home size, measured in square feet.- hhinc: annual household net income, measured in euros.- owner: dummy variable equal to 1 if the living space is owned, and 0 if the livingspace is rented.- hhsize1: dummy variable equal to 1 if the number of household’s members is 1 or2, and 0 otherwise.- hhsize2: dummy variable equal to 1 if the number of household’s members is 3 or4, and 0 otherwise.- hhsize3: dummy variable equal to 1 if the number of household’s members is 5 orabove 5, and 0 otherwise.- edu: education level of household’s members.Consider the results in Table 4. Observe that the estimated coefficients of hhsize1and hhsize2 are now negative. Does their interpretation change with respect to Table3? Explain in detail. Table 4. regress size hhinc owner hhsizel hhsize2 hhsize3, robustLinear regressionNumber of obs5,407F(4, 5402)877.84Prob > F0.0000R-squared0.4269Root MSE348.5RobustsizeCoefficient std. err.P>|t|[95% conf. interval]hhinc.005163.000497610.380.0000041875e061384owner374.504910.6921935.030.000353.5439395.4659hhsizel-282.449522.50563-12.550.000-326.5696-238.3294hhsize2-152.953320.30738-7.530.000-192.764-113.1426hhsize3O (omitted)cons930.348929.3455631.700.000872.8197987.878 Table 3. regress size hhánc owner hhsizel hhsizez hhsize3, robust noconstantLinear regressionNumber of obs5,407F(5, 5402)11317.91Prob > F0.0000R-squared0.9157Root MSE348.5Robustsize Coefficient std. err.P>|t|(95% conf. interval]hhinc.005163.000497618.380.000.0041875.0061384Owner374.504910.6921935.030.000353.5439395.4659hhsizel647.899412.7997350.620.000622.8068672.992hhsize27.3956רר21.4297736.280.000735.3846819.4065hhsize3930.348929.3455631.700.000872.8197987.878

Consider the given Table-4: The coefficient of hhsize1 is -282.4495. The coefficient of hhsize2 is…

The questions below are based on a dataset containing the characteristics of 5,407 households. In particular, we will use the following variables: - size: home size, measured in square feet. - hhinc: annual household net income, measured in euros. - owner: dummy variable equal to 1 if the living space is owned, and 0 if the living space is rented. - hhsize1: dummy variable equal to 1 if the number of household’s members is 1 or 2, and 0 otherwise. - hhsize2: dummy variable equal to 1 if the number of household’s members is 3 or 4, and 0 otherwise. - hhsize3: dummy variable equal to 1 if the number of household’s members is 5 or above 5, and 0 otherwise. - edu: education level of household’s members. Consider the results in Table 4. Observe that the estimated coefficients of hhsize1 and hhsize2 are now negative. Does their interpretation change with respect to Table 3? Explain in detail.

The questions below are based on a dataset containing the characteristics of 5,407 households. In particular, we will use the following variables: - size: home size, measured in square feet. - hhinc: annual household net income, measured in euros. - owner: dummy variable equal to 1 if the living space is owned, and 0 if the living space is rented. - hhsize1: dummy variable equal to 1 if the number of household’s members is 1 or 2, and 0 otherwise. - hhsize2: dummy variable equal to 1 if the number of household’s members is 3 or 4, and 0 otherwise. - hhsize3: dummy variable equal to 1 if the number of household’s members is 5 or above 5, and 0 otherwise. - edu: education level of household’s members. Consider the results in Table 4. Observe that the estimated coefficients of hhsize1 and hhsize2 are now negative. Does their interpretation change with respect to Table 3? Explain in detail.

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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