If var(X) = var(Y) = σ², cov(X,Y)= and 2Y-3 find the correlation between 2X+3
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- If Var(X1) = 2, Var(X2) = 4, Var(X3) = 3, Cov(X1, X2) = 1, Cov(X1, X3) = -2, and X2 and X3 are independent, find the mean and variance of Y = X1 – 2X2+3X3.if Cov(x,y)-D2 and var(x)= 9 and var(y)=16 then the correlation coefficient between x and y isThe coefficient of correlation will be zero if if the relationship between two variables x and y is non-linear. if there is no linear relationship between two variables. if the covariance between two variables x and y is 1. None of the above.
- The regression lines between two variables x and y are given by 2x + 3y – 6 = 0 and 5x + 7y – 12 = 0. Find the value of y (the correlation coefficient) and the mean values of x and y.Let the equations of the regression lines be expressed as 8X - 2Y = 0 and 3Y – 2X = 9 Then the correlation between X and Y is,In a laboratory experiment on correlation research study the equation of the two regression lines were found to be 2X–Y+1=0 and 3X–2Y+7=0 Find the correlation between the two variables X and Y. Interpret the result as well.
- The lines of regression of y on x and x on y are, respectively, y = x + 5 and 16x - 9y = 94. Find the variance of x if the variance of y is 16. Also, find the covariance of x and yFind variance of Y2Let the equations of the regression lines be expressed as 8x-2y=0 and 3y-2x=9. Then the correlation between X and y is
- The range of the correlation coefficient is from 0 to 1. TRUE OR FALSEFor two variables X and Y, we have two regression lines 2X-7Y+3=0 and aX+bY+6=0 for some constants a and b. Suppose we know that X = 2 and Y = 1. Also the second regression line passes through (4, 5). Find the correlation coefficient of these two lines.Describe the relationship between two variables when the correlation coefficient r is(a) near -(b) near 0. (c) near 1.