(x² + 3/13/₁0 <f(x, y) =+3,0 < x < 1,0 < y < 2,elsewhere.0,g(x)= 2x (x + 1/3), h(y)= 1/3 + y/6.i. Determine the covariance of X and Y.Determine the correlation of X and Y.j.

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Answered: i. j. Determine the 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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Which of the following would be the value of the correlation coefficient of two variables which are not linearly related? a) –1 b) 0.5 c) 1 d) 0
J. 1. Find out co-efficient or correlation from the following: x= 40 50 55 45 50 -60 65 65 70 80. y= 10 12 13 11 12 15 18 18 21 30.
If (r) is the correlation coefficient between two variables, then: 0
(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
Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate it again, letting Row 2 represent the x-values and Row 1 the y-values. What effect does switching the variables have on r? Row 1 19 23 31 49 51 70 79 Row 2 156 155 190 141 202 191 181 Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. r= 0.430 (Round to three decimal places as needed.) Calculate the correlation coefficient r, letting Row 2 represent the x-values and Row 1 the y-values. (Round to three decimal places as needed.)
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
Amount of fertilizer (x) in pounds for each plot: 12, 5, 15, 17, 20, 14: Bushels of tomatoes harvested (y) 24 22 31 33 21 28: Round all values to three decimal places. a) Find the equation of the regression line (line of best fit). b) Calculate the correlation coefficient (r). c) Determine if there is a significant linear correlation. d) If the linear relation is significant, predict how many bushels of tomatoes would be harvested if 22 pounds of fertilizer was used.
Which one of the following is the covariance of the given variables X and Y? x=X-X y%3DY-Y X-X)( Y-Y )=xy Y 3 12 20 1 7 10 23 5 18 24 11 30 2 10 48 144 Select one: 156.25 25.88 12.5 53.75
If x and y are two correlated variables with S.D. 0, and o, and Ox Oy correlation coefficient p, find the correlation between ax + by · and are 9. cx + dy, a, b, c, d being constants. Find k for which x+ ky and x +y uncorrelated.
Calculate co-efficient of correlation from the following data : 500 1000 1500 2000 X: Y: 2500 3000 3500 100 200 300 400 500 600 700
X1 X2 Y X1 1.0000 0.7139 0.6147 X2 0.7139 1.0000 0.3098 Y 0.6147 0.3098 1.0000 This is my correlation matrix table. Using this, which variable explains the greatest proportion of variation in Y? What is the proportion of variation in Y that can be explained by X1? What is the proportion of variation in Y that can be explained by X2? Also what is multicollinearity?

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i. j. Determine the correlation Determine the covariance of X and Y. of X and Y.