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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F362a762f-914f-42d1-b0fa-542c2b1764ea%2F42e2f102-83f4-4d79-a55b-6a16c9906c49%2Fnjxzd0dq_processed.png&w=3840&q=75)
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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