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Homework Statement
Given:
Σ(xi - x̄)² = 500
Σ(yi - ybar)² = 800 (total sum of squares, SST))
Σ(ŷ - ybar)² = 400 (total sum of estimators, SSE)
Σ(xi - x̄)²(yi) = 200
Σ(xi - x̄)²(εi) = 0
n = 1000
s² = 4
Find (or explain why you cannot find):
β1
β0
variance of β
R²
Homework Equations
[/B]
Σ(xi - x̄)² = 500
Σ(yi - ybar)² = 800 (total sum of squares, SST))
Σ(ŷ - ybar)² = 400 (total sum of estimators, SSE)
Σ(xi - x̄)²(yi) = 200
Σ(xi - x̄)²(εi) = 0
n = 1000
s² = 4
The Attempt at a Solution
R² = SSE/SST = 400/800 = 200
But to be honest, I have no idea how to find β1, β0, or the variance of β... Can anyone help?