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[M] Repeal Exercise 9 with
9. Suppose three tests are administered to a random sample of college students. Let X1,…, XN be observation
Suppose the
Let y be an “index” of student performance, with y = c1x1 + c2x2 + c3x3 and
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Chapter 7 Solutions
Pearson eText Linear Algebra and Its Applications -- Instant Access (Pearson+)
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- For the following table of data. x 1 2 3 4 5 6 7 8 9 10 y 0 0.5 1 2 2.5 3 3 4 4.5 5 a. draw a scatterplot. b. calculate the correlation coefficient. c. calculate the least squares line and graph it on the scatterplot. d. predict the y value when x is 11.arrow_forwardFind the second-order contact matrix PQ mentioned in the text.arrow_forwardSuppose three tests are administered to a random sample of college students. Let X₁,...,Xy be observation vectors 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 jth exam. Suppose the covariance matrix of the data is 80 84 36 S= 84 117 69 36 69 50 Let y = ₁x1 + ₂x2 + 3x3 be an "index" of student performance with cf + c3 + c3 = 1 and c₁ 2 0. Find the constants 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.arrow_forward
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