5.113 Suppose that Y1 and Y2 have correlation coefficient py,y, and for constants a, b, c and d letW1 = a + bY1 and W2 = c + dY2.a Show that the correlation coefficient between W1 and W2, pw,.w2, is such that \pr,r,| =lewi.wzl-b Does this result explain the results that you obtained in Exercise 5.110?

Answered: Image /qna-images/answer/794d2a17-12d8-41c2-ac41-876b64f386a1.jpg

Answered: Suppose that Y1 and Y2 have correlation…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(b) For each pair of variables, generate the correlation coefficient r. Compute the corresponding coefficient of determination r2. (Use 3 decimal places.) r r2 x1, x2 x1, x3 x2, x3
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Which of the following linear correlation coefficient suggest a perfect negative linear relationship between two variable value?A) r = 0.327 B) r = -0.721 C) r = 0 D) r = 1.6 E) r = -1
Consider an economy where each worker is employed in either agriculture or services. Assume that log earnings of a worker are wo = 4o + €o if she is employed in agriculture and wi = µ1+€1 if she is employed in services, where µo and H1 are constants, ɛo ~ N(0, o3), and e1 - N(0, o?). Assume also that the correlation between earnings in the two sectors is p = g01 where oo1 = Cov(Eo, E1). Workers can be employed in agriculture at no cost, but they incur a cost C = T exp(wo) if they choose to work in services. Finally, assume that workers maximize their net earnings. Each worker knows all the parameters relevant to her decision. (a) Derive a linear approximation of the equation that determines whether an individual chooses services or agriculture. Assume that C is small compared to exp(wo), so you can ignore the error involved in this approximation. (b) Define v = €1 chosen worker is employed in services as a function of z, where z = (Ho – H1 +7)/0,. (c) How does this probability change…
A computer while calculating the correlation coefficient between the variables X and Y obtained the following results: N= 30, ΣΧ-120, ΣΧ600, ΣΥ-90, ΣΥ250, ΣΧΥ-356. It was, however later discovered at the time of checking that it had copied down two pairs of observations: X Y wrongly as while the correct values are X Y 8 10 8 12 10 8 12 7. Find the correct value of correlation coefficient between X and Y.
Given a cross power spectrum, Sxy (w) = XY Find the cross correlation function. CS Scanned with CamScanner 8 (a + jw)³ where a > 0 is a constant.
Which of the following scatter plots that true linear association?

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