27. Given X= 4Y+ 5 and Y= KX + 4 are the lines of regression of X on Y and Y on Xrespectively. If K is positive, prove that it cannot exceed 4. If K= 1/16, find the means of two variables[D.U., B. Com. (Hons.) 2006]and the coefficient of correlation between them.

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Answered: 27. Given X= 4Y+5 and Y= KX + 4 are the…

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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The manufacturer of Beanie Baby dolls used quarterly price data for 2012/-2020/V (t = 1, ..., 36) and the regression equation Pt= a + bt+c₁D1 t + c2 D2 + + c3 D3 t to forecast doll prices in the year 2021. Pt is the quarterly price of dolls, and D1, D2t, and D3+ are dummy variables for quarters I, II, and III, respectively. DEPENDENT VARIABLE: PT R-SQUARE P-VALUE ON F 0.0001 OBSERVATIONS: F-RATIO 76.34 STANDARD 36 0.9078 PARAMETER VARIABLE ESTIMATE ERROR T-RATIOP-VALUE INTERCEPT 24.0 6.20 3.87 0.0005 T 0.8 0.240 3.33 0.0022 D1 -8.0 2.60 -3.08 0.0043 D2 -6.0 1.80 -3.33 0.0022 D3 -4.0 0.60 -6.67 0.0001 The estimated quarterly increase in price is and the estimated annual increase in price is Multiple Choice O O $1.50; $6.00 $1.40; $4.00 $0.60; $2.40 $0.80; $3.20 None of the choices are correct.
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27. Given X= 4Y+5 and Y= KX + 4 are the lines of regression of X on Y and Y on X respectively. If K is positive, prove that it cannot exceed 4. If K= 1/16, find the means of two variables [D.U., B. Com. (Hons.) 2006] and the coefficient of correlation between them.