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Quick Check 23.3 – Data 100, Summer 2020
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* Indicates required question
The singular value for the first principal component is always (select all that apply):
*
Greater than or equal to zero
Greater than one
Larger than the other singular values
At least as large as the other singular values
None of these
Required
Given that that PCA was applied to some data set, which of the following statement(s) describe the use of a scree plot?
*
Compare the amount of total variance accounted for by each principal component.
Identify clusters in the data.
Assess whether a 2D scatter plot is an appropriate visualization of the data.
Visualize the data using a lower-dimensional projection.
Identify the most informative variables in the data.
Required
(Spring 2019 Midterm 1) Suppose we perform on a centered data matrix using np.linalg.svd. The resulting value of s is np.array([3, 1, 0, 0, 0]). What is the rank of the centered data matrix?
*
0
1
2
3
4
5
Continuing from the previous question, what is the proportion of total variance accounted for by the first principal component?
*
0
0.5
0.75
0.9
1
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