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4. Let X1, X2, X3, X4 denote the variables bill length, bill depth, flipper length and body mass, respectively. Suppose that we introduce two new variables: Yı = 3X1+ 2X2 and Y2 = X2 + X3+ X4. Let Y be the dataset recording variables Y1 and Y2 of the same individuals as in X. Find the mean vector and covariance matrix of Y.

4. Let X1, X2, X3, X4 denote the variables bill length, bill depth, flipper length and body mass, respectively. Suppose that we introduce two new variables: Yı = 3X1+ 2X2 and Y2 = X2 + X3+ X4. Let Y be the dataset recording variables Y1 and Y2 of the same individuals as in X. Find the mean vector and covariance matrix of Y.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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4. Let X1, X2, X3, X4 denote the variables bill length, bill depth, flipper length and body mass, respectively. Suppose that we introduce two new variables: Y1 = 3X1 + 2X2 and Y2 = X2 + X3 + X4. Let Y be the dataset recording variables Y1 and Y2 of the same individuals as in X. Find the mean vector and covariance matrix of Y.
Transcribed Image Text:4. Let X1, X2, X3, X4 denote the variables bill length, bill depth, flipper length and body mass, respectively. Suppose that we introduce two new variables: Y1 = 3X1 + 2X2 and Y2 = X2 + X3 + X4. Let Y be the dataset recording variables Y1 and Y2 of the same individuals as in X. Find the mean vector and covariance matrix of Y.
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