Express var(X + Y), var(X − Y), and cov(X + Y, X −Y) in terms of the variances and covariance of Xand Y.
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Express var(X + Y), var(X − Y), and cov(X + Y, X −
Y) in terms of the variances and
and Y.
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- There are two risky shares, where you have calculated the means, and the correlation coefficient of returns between the two shares. Sketch the mean-variance efficient frontier for portfolios of the two shares when the correlation coefficient is +1 and 0 respectively. Explain the shape of the frontier using algebra.For 50 students of a class the regression equation of marks in Statistics (X) on marks in Accountancy (Y) is 3Y – 5X + 180 = 0. The mean marks in of Accountancy is 50 and variance of marks in statistics is of the variance of marks in Accountancy. Find the mean marks in statistics and the coefficient of correlation between marks in the two subjects when the variance of Y is 25.Compute the mean and variance for the linear function W = 2X - 4Y. (See Image)
- What is the formula for calculating the covariance between two variables X and Y?Lambda can be used for any size table and measures the variance explained but not the direction. True FalseFor 50 students of a class the regression equation of marks in Statistics (X) on the marks in Accountancy (Y) is 3 Y-5 X+180= 0. The mean marks in Account ancy is 44 and variance of marks in Statistics is 9/16th of the variance of marks in Ac accountancy. Find the mean marks in Statistics and the coefficient of correlation between marks in the two subjects.
- Explain how to determine the variance ination factor (VIF) for a predictor variable x1 in a regression equation that also contains the predictor variables x2, x3, and x4.For 50 students of a class the regression equation of marks in Statistics (X) on the marks in Accountancy (Y) is 3Y – 5 X + 180 = 0. The mean marks of Accountancy is 44 and variance of marks in Statistics is 9/16th of the variance of marks in Accountancy. Find the mean marks of Statistics and the coefficient of correlation between marks in two subjects.A firm purchases two types of industrial chemicals. Type I chemical costs $3 per gallon, whereas type II costs $5 per gallon. The mean and variance for the number of gallons of type I chemical purchased, Y,, are 40 and 4, respectively. The amount of type II chemical purchased, Y2, has E(Y2) = 65 gallons and V(Y2) = 8. Assume that Y, and Y2 are independent and find the mean and variance of the total amount of money spent per week on the two chemicals.