List questions from linear-regression

Published on 22 Mar 2026 - 2:45

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For the OLS estimator $\hat{\beta}$, show that: $SS_e(\beta)=SS_{Res}+(\beta-\hat{\beta})'X'X(\beta-\hat{\beta})$

Published on 24 Mar 2026 - 20:38

62

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Why $b_0$ and $b_1$ from linear regression $(y = b_0 + b_1\cdot x)$ are calculated like follows? How is the formula for such variables derived?

Published on 02 Mar 2018 - 20:17

56

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What does mathematically and logically represents the variable $\epsilon_i$ in linear regression formula $y = b_1*x + b_0 + \epsilon$?

Published on 04 Mar 2018 - 7:20

369

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Generalized ridge regression estimator subject to elliptical constraint

Published on 24 Mar 2026 - 20:32

2.5k

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Why Cost Function for Linear Regression Is Always a Convex Shaped Function?

Published on 08 Mar 2018 - 17:31

62

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Solving System of Equatins

Published on 22 Mar 2026 - 1:26

73

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Simple Linear Regression of an Exponential Function

Published on 22 Mar 2026 - 20:44

112

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How to prove that likelihood p(Y | w) = pE(Y − Xw) (pE is pdf of error E)?

Published on 13 Mar 2018 - 17:11

39

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Finding linear regression equation with unequal sample sizes

Published on 14 Mar 2018 - 21:25

260

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Simple Linear regression assumption

Published on 22 Mar 2026 - 5:28

1k

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Proof For $E[(\text{TSS}-\text{RSS})/p]=\sigma^2$

Published on 24 Mar 2026 - 21:59

226

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variance of regression estimators

Published on 22 Mar 2026 - 3:27

157

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the predicted value of Y , when $x=x_0$

Published on 22 Mar 2026 - 18:17

1.1k

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Zero conditional mean and zero correlation

Published on 22 Mar 2026 - 10:29

List Question

Calculation of variance beta hat

For the OLS estimator $\hat{\beta}$, show that: $SS_e(\beta)=SS_{Res}+(\beta-\hat{\beta})'X'X(\beta-\hat{\beta})$

Why $b_0$ and $b_1$ from linear regression $(y = b_0 + b_1\cdot x)$ are calculated like follows? How is the formula for such variables derived?

What does mathematically and logically represents the variable $\epsilon_i$ in linear regression formula $y = b_1*x + b_0 + \epsilon$?

Generalized ridge regression estimator subject to elliptical constraint

Why Cost Function for Linear Regression Is Always a Convex Shaped Function?

Solving System of Equatins

Simple Linear Regression of an Exponential Function

How to prove that likelihood p(Y | w) = pE(Y − Xw) (pE is pdf of error E)?

Finding linear regression equation with unequal sample sizes

Simple Linear regression assumption

Proof For $E[(\text{TSS}-\text{RSS})/p]=\sigma^2$

variance of regression estimators

the predicted value of Y , when $x=x_0$

Zero conditional mean and zero correlation

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