### 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 ...