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A random sample of workers contains n = 120 men and n = 131 women. The sample average of men's weekly earnings [Ym = (1/nm)Σ1Ym,i] is = nm Sw $523.10, and the sample standard deviation [Sm Σ1(Ymi - Ym)²] is $68.10. The corresponding values for women are Yw = $485.10 and $51.10. Let Women denote an indicator variable that is equal to 1 for women and 0 for men and suppose that all 251 observations are used in the regression Y₁ = Bo + B₁ Women; + u. Find the OLS estimates of B, and B₁ and their corresponding standard errors. =

A random sample of workers contains n = 120 men and n = 131 women. The sample average of men's weekly earnings [Ym = (1/nm)Σ1Ym,i] is = nm Sw $523.10, and the sample standard deviation [Sm Σ1(Ymi - Ym)²] is $68.10. The corresponding values for women are Yw = $485.10 and $51.10. Let Women denote an indicator variable that is equal to 1 for women and 0 for men and suppose that all 251 observations are used in the regression Y₁ = Bo + B₁ Women; + u. Find the OLS estimates of B, and B₁ and their corresponding standard errors. =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Bo = = Y-8₁X n Σ(X₁-X)(Yi-Y) n Σ(x; − x)2 i=1 i=1 n = Σ (Ŷ₁ - Y)² = B₁(x₁ - x)² i=1 SST = (Y₁ - Y)² SSR = ₂². R² = SSE = SST = 1- SSR SST Var() = 0² (²) + Var(8₁) = 0² Σ(x-x)2
Transcribed Image Text:Bo = = Y-8₁X n Σ(X₁-X)(Yi-Y) n Σ(x; − x)2 i=1 i=1 n = Σ (Ŷ₁ - Y)² = B₁(x₁ - x)² i=1 SST = (Y₁ - Y)² SSR = ₂². R² = SSE = SST = 1- SSR SST Var() = 0² (²) + Var(8₁) = 0² Σ(x-x)2
3. A random sample of workers contains m = 120 men and n = 131 women. The sample average of men's weekly earnings [Ym = (1/nm) Σ1₁Ym,i] is nm 2i=1 ¹1Σ1(Ymi — Ym)²] $523.10, and the sample standard deviation [Sm is $68.10. The corresponding values for women are Y₁ = $485.10 and Sw= $51.10. Let Women denote an indicator variable that is equal to 1 for women and 0 for men and suppose that all 251 observations are used in the regression Y; = Bo + B₁ Women; + u;. Find the OLS estimates of B, and B₁ and their corresponding standard errors.
Transcribed Image Text:3. A random sample of workers contains m = 120 men and n = 131 women. The sample average of men's weekly earnings [Ym = (1/nm) Σ1₁Ym,i] is nm 2i=1 ¹1Σ1(Ymi — Ym)²] $523.10, and the sample standard deviation [Sm is $68.10. The corresponding values for women are Y₁ = $485.10 and Sw= $51.10. Let Women denote an indicator variable that is equal to 1 for women and 0 for men and suppose that all 251 observations are used in the regression Y; = Bo + B₁ Women; + u;. Find the OLS estimates of B, and B₁ and their corresponding standard errors.
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