kevindunn
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Plot an ellipse
The code will plot any ellipse where you specify the major and minor axis distances, optional translation by \(x, y\) units, and an optional rotation. Expected result:

Principal components analysis (PCA) using a sequential method
The singular value decomposition is usually presented as the way to calculate the PCA decomposition of a data matrix. The NIPALS algorithm is a very computationally tractable way of calculating ...

Principal components analysis (PCA) using a sequential method
The singular value decomposition is usually presented as the way to calculate the PCA decomposition of a data matrix. The NIPALS algorithm is a very computationally tractable way of calculating ...

Basic linear regression
Expected result: See the official Scipy documentation for details about
linregress
. A more complete regression model can be obtained with the OLS function in the statsmodels library. 
Basic linear regression
See the official Scipy documentation. For more complete regression model outputs, use the statsmodels library.

Principal components analysis (PCA) using a sequential method
The singular value decomposition is usually presented as the way to calculate the PCA decomposition of a data matrix. The nonlinear iterative partial least squares (NIPALS) method is more informative ...

Find the points at which two given functions intersect
The code considers the case of finding the intersection of a polynomial, \(y=x^2\) and a line, \(y=x+1\). Write these functions in the form \(\mathbf{f(x ...