List questions from least-squares

Published on 17 Sep 2021 - 1:54

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Non-Singular Matrix in Linear Regression

Published on 31 Mar 2026 - 5:38

177

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Why do we impose a constraint on a Homogeneous Least Square Problem?

Published on 23 Sep 2021 - 15:30

3.7k

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Least square fit of ellipse worsens with increasing border thickness

Published on 28 Mar 2026 - 9:34

53

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Casting Ridge Regression to OLS

Published on 30 Sep 2021 - 14:16

852

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Frobenius norm minimization problem

Published on 02 Oct 2021 - 5:25

54

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Least square fit $a(\lg(n))^2+b(\lg(n))+c$

Published on 02 Oct 2021 - 18:19

769

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How to derive zero conditional mean $E(u|x)=E(ux)=0$ in OLS

Published on 09 Oct 2021 - 1:02

362

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Show how a constrained least squares problem can be reduced to solving an unconstrained least squares problem.

Published on 11 Oct 2021 - 6:27

241

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Unbiased Estimator of $\sigma^2$ using Least square estimates

Published on 04 Apr 2026 - 4:39

55

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Iterative way of solving of over-determined, complex linear equations system with limited access to A matrix.

Published on 12 Oct 2021 - 11:35

206

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If $\lvert X_{ij}\rvert \leq 1$ for all $i, j$, how do we show that the diagonal elements of $(X^T X)^{-1}$ are at least $\frac{1}{n}$?

Published on 14 Oct 2021 - 17:17

41

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How can a quadratic minimization problem of this form be solved?

Published on 18 Oct 2021 - 16:10

33

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Finding other solutions to $Ax=b$

Published on 20 Oct 2021 - 18:10

50

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How to calculate the least squares estimator

Published on 03 Apr 2026 - 12:54

List Question

Solving least squares equations

Non-Singular Matrix in Linear Regression

Why do we impose a constraint on a Homogeneous Least Square Problem?

Least square fit of ellipse worsens with increasing border thickness

Casting Ridge Regression to OLS

Frobenius norm minimization problem

Least square fit $a(\lg(n))^2+b(\lg(n))+c$

How to derive zero conditional mean $E(u|x)=E(ux)=0$ in OLS

Show how a constrained least squares problem can be reduced to solving an unconstrained least squares problem.

Unbiased Estimator of $\sigma^2$ using Least square estimates

Iterative way of solving of over-determined, complex linear equations system with limited access to A matrix.

If $\lvert X_{ij}\rvert \leq 1$ for all $i, j$, how do we show that the diagonal elements of $(X^T X)^{-1}$ are at least $\frac{1}{n}$?

How can a quadratic minimization problem of this form be solved?

Finding other solutions to $Ax=b$

How to calculate the least squares estimator

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