Problem #5: Suppose three tests are administered to a random sample of college students. Let X₁, ..., Xy be observationvectors in R³ that list the three scores of each student, and for j = 1, 2, 3, let xj denote a student's score on the jthexam. Suppose the covariance matrix of the data isProblem #5:S. =130556855 6825 262640Let y = C₁x1 + ₂x2 + c3x3 be an "index" of student performance with c + c3 + c3 = 1 and c₁ ≥ 0. Find theconstants C1, C2, C3 so that the variance of y over the data set is as large as possible.Enter the values of C₁, C2, C3 into the answer box below, separated by commas.numbers correct to 2 decimals

Let be an "index" of student performance with .

Answered: Problem #5: Suppose three tests are…

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 5E

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