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Applied Statistics

Generate a multivariate normal distribution matrix with a mean of m = [0,0,0,0],

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

1a. Import pandas and give it a shorter name.

1b. Import numpy and give it a shorter name.

1c.Generate a multivariate normal distribution matrix with a mean of m = [0,0,0,0], variance-covariance matrix of (C) = [[1.0, 0.8, 0.5, 0.3], [0.8, 1.0, 0.2, 0.1], [0.5, 0.2, 1.0, 0.2], [0.3, 0.1, 0.2, 1.0]] The size is 1000. Hint use: numpy.random.multivariate_normal. Use help().

1d. What is the shape of the created matrix?

1e. Create a dataframe, D, from the multivariate normal distribution. Describe it. 1f. Create a vector,y, from column 0 of the created dataframe of the multivariate normal distribution. 1g. Create a matrix of X variables from columns 1,2,& 3, excluding 0.

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