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Question: (SVD for text analysis) Assume you are given a data set in the form of an n × m term by-document matrix X corresponding to a large collection of news articles. Precisely, the (i, j) entry in X is the frequency of the word i in the document j. We would like to visualize this data set on a two dimensional plot. Explain how you would do the following (describe your steps carefully in terms of the SVD of an appropriately centered version of X).
1. Plot the different news sources as points in word space, with maximal variance of the points.
2. Plot the different words as points in news-source space, with maximal variance of the points.
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Daily Airlines fies from Amsterdam to London every day. The price of a ticket for this extremely popular flight route is $75. The aircraft has a passenger capacity of 150.
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This question is asking you to compare the likelihood of your getting 4 or more subscribers in a sample of 50 when the probability of a subscription has risen from 0.02 to 0.06.] Talk about the comparison of probabilities in your explanation.
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