(8SE SSF)/2is larger than the critical value for F(2,21) distribution, we reject the hypothesis that the coefficients for rut and urtun areasequalO,SSE-SSEF)/2SSK1/21is larger that the critical value for the F(2,21) distribution, we reject the hypothesis that the coefficients for runal and surtun arequalO (SSE-8SE)/2SSE/15is larger that the critical value for the F(2.15) distribution, we reject the hypothesis that the coefficients for rural and urban aaequalO Since r is a linear combination of the other explanatory varnables the coeffcient of r, cannot be estimated by OLS(SSE-SSE}/2SSE/10is larger that the critical value for the Fa10) distribution we reject the hypothesis that the coefficients for rural and urbun ar areitequal A researcher wants to analyze the effect of a variable x on another variable y using observations from both rural and urban areas. Heobtained 15 observations from rural areas, 10 observations from urban areas, and estimated the model(1) w=B +Baa, + eTo consider the possibility that the coefficients are different for the two types of observations, the researcher also estimated the model(II) B +nn+BI +2 (z, r,) + ë,whereif i corresponds to a rural area0 otherwiseDenote the sum of squared residuals from the OLS regressions of (I) and (II) by, respectively SSE, and SSE1-Which of the following statements is true?

A researcher wants to analyze the effect of a variable x on another variable y using observations from both rural and urban areas He obtained 15 observations from rural areas, 10 observations from urban areas, and estimated the model (1) w-B +B, + e To consider the possibility that the coefficients are different for the two types of observations, the researcher also estimated the model (II) -8+nn + Bz I, + 72 (z, r.) + č, where |i ifi corresponds to a rural area O otherwise Denote the sum of squared residuals from the OLS regressions of (1) and (II) by, respectively SSE, and SSE1- Which of the following statements is true?

A researcher wants to analyze the effect of a variable x on another variable y using observations from both rural and urban areas He obtained 15 observations from rural areas, 10 observations from urban areas, and estimated the model (1) w-B +B, + e To consider the possibility that the coefficients are different for the two types of observations, the researcher also estimated the model (II) -8+nn + Bz I, + 72 (z, r.) + č, where |i ifi corresponds to a rural area O otherwise Denote the sum of squared residuals from the OLS regressions of (1) and (II) by, respectively SSE, and SSE1- Which of the following statements is true?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 31E

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