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Applications to linear models

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Intro to applying least squares problems to economics

Intro to applying least squares problems to economics

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Intro to applying least squares problems to economics

3:11

About this lesson

Applications to Linear Models Overview:
Applying Least-Squares Problem to Economics
• Go from \(Ax=b\) to \(X\beta=y\)
• \(X \)→\(\) design matrix
• \(\beta \)→\(\) parameter vector
• \(y \)→\(\) observation vector

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Video 1 of 9

Intro to applying least squares problems to economics

3 min

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Deriving the least squares line from data points using matrix equations

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Least squares fitting for quadratic and higher-order curves

12 min

Introduction to multiple regression and best fit planes in 3D

9 min

Finding the least squares line for a set of data points

15 min

Setting up the design matrix for a seasonal cost model

16 min

Fitting a quadratic least squares curve to experimental data points

17 min

Fitting a least squares plane to 3D terrain data points

16 min

Proving the squared norm of X beta-hat equals beta-hat transpose X transpose y

5 min