Homework Answers
The formula for correlation coefficient (r) between X and Y is:
Correlation (r) = Covariance between X and Y / SDx * SDy
where, SDx is standard deviation of X and SDY is standard deviation of Y. (Standard deviation is square root of variance)
Putting the values in the above formula, we get,
Correlation coefficient (r) = 15 / (36)1/2 * (25)1/2
Correlation coefficient (r) = 15 / 6 * 5
Correlation coefficient (r) = 15 / 30 = 0.5
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3. Suppose the covariance between Y and X is 15, the variance of Y is 25,...
4.he sample correlation coefficient between X and Y, rxy Sx/Sx S where S-the covariance between X...
4.he sample correlation coefficient between X and Y, rxy Sx/Sx S where S-the covariance between X and Ys Σ(X-XM) (-Yu)/ n-1 Sx the standard deviation of X and Sy the standard deviation of Y I) If the covariance is positive, the correlation coefficient must be positive: True or False? ii) If the covariance is negative, the correlation coefficient must be positive: True or False? a) ii) The correlation coefficient must lie between 0 and 1. True or False? v)lf the...
Q. 34 Part A. Using the dataset below, calculate the covariance and correlation coefficient between X...
Q. 34 Part A. Using the dataset below, calculate the covariance and correlation coefficient between X and Y. For ease, copy and paste the dataset onto your spreadsheet. X Y 21 35 24 27 23 31 30 38 22 36 18 40 20 37 26 28 a.) Covariance = 5.71. Correlation coefficient = -0.32 b.) Covariance = -5. Correlation coefficient = -0.32 c.) Covariance = -5.71. Correlation coefficient = -0.32 d.) None of the above Part B. Refer to the...
(4pt) The variance of random variable X is 4 and the variance of random variable Y...
(4pt) The variance of random variable X is 4 and the variance of random variable Y is 16. The correlation coefficient between the two random variables X and Y is 0.9. (a) (1pt) Find the covariance between X and Y. (b) A new random variable Z is given by Z = 5x + 1. Find the covariance between X and Z. (1pt) Find the covariance between Y and Z. (2pt)
1. Suppose X has mean 3 and variance 4, Y has mean 5 and variance 9,...
1. Suppose X has mean 3 and variance 4, Y has mean 5 and variance 9, and Coy(X, Y) =-2. (a) What is the mean of 6X 7Y? (b) What is the variance of 6X TY? (c) What is the variance of 6X - TY? (d) What is the squared coefficient of variation of X? (e) What is the covariance of X and X +Y?
b) Show that x, -x)-o a) Suppose Y =-X . Show in a diagram this function,...
b) Show that x, -x)-o a) Suppose Y =-X . Show in a diagram this function, what will be the correlation coefficient between X and Y? 4 the correlation coefficient must b) i) If the covariance between two variables is be positive. True or False? suggest? i) If the covariance between two variables is zero, what does it 5 a) Define mutually exclusive events and independent events bi) For two events A and B (which are not mutually exclusive) complete...
4. [-14 Points] DETAILS (4pt) The variance of random variable X is 1 and the variance...
4. [-14 Points] DETAILS (4pt) The variance of random variable X is 1 and the variance of random variable Y is 4. The correlation coefficient between the two random variables X and Y is 0.2. (a) (1pt) Find the covariance between X and Y. (b) A new random variable Z is given by Z = 2X + 1. Find the covariance between X and Z. (1pt) Find the covariance between Y and Z. (2pt)
x 7 10 8 4 3 y 8 11 9 5 4 a. Calculate the covariance...
x 7 10 8 4 3 y 8 11 9 5 4 a. Calculate the covariance between the variables. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.) b-1. Calculate the correlation coefficient. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.) b-2. Interpret the correlation coefficient. There is _____ no, a weak negative, a weak positive, a strong...
4 a) Suppose Y X.Show in a diagram this function. What will be the correlation coefficient...
4 a) Suppose Y X.Show in a diagram this function. What will be the correlation coefficient between X and Y? b)i) If the covariance between two variables is nogative, the correlation coefficient must be positive. True or False? ) If the covariance between two variables is zero. what does it suggest?
What is the covariance and correlation coefficient between portfolios Y and Z? Please show work. Return...
What is the covariance and correlation coefficient between
portfolios Y and Z? Please show work.
Return for Portfolio Z 30% State Boom Normal Recession Probability 30% 40% 30% Return for Portfolio Y 20% 10% -10% 15% -15%
explain as much as possible! thanks! (4pt) The variance of random variable x is 1 and...
explain as much as possible! thanks!
(4pt) The variance of random variable x is 1 and the variance of random variable Y is 16. The correlation coefficient between the two random variables X and Y is 0.9. (a) (1pt) Find the covariance between X and Y. (b) A new random variable Z is given by Z = 5x + 1. Find the covariance between X and Z. (1 pt) Find the covariance between Y and Z. (2pt)
4.he sample correlation coefficient between X and Y, rxy Sx/Sx S where S-the covariance between X and Ys Σ(X-XM) (-Yu)/ n-1 Sx the standard deviation of X and Sy the standard deviation of Y I) If the covariance is positive, the correlation coefficient must be positive: True or False? ii) If the covariance is negative, the correlation coefficient must be positive: True or False? a) ii) The correlation coefficient must lie between 0 and 1. True or False? v)lf the...
(4pt) The variance of random variable X is 4 and the variance of random variable Y is 16. The correlation coefficient between the two random variables X and Y is 0.9. (a) (1pt) Find the covariance between X and Y. (b) A new random variable Z is given by Z = 5x + 1. Find the covariance between X and Z. (1pt) Find the covariance between Y and Z. (2pt)
1. Suppose X has mean 3 and variance 4, Y has mean 5 and variance 9, and Coy(X, Y) =-2. (a) What is the mean of 6X 7Y? (b) What is the variance of 6X TY? (c) What is the variance of 6X - TY? (d) What is the squared coefficient of variation of X? (e) What is the covariance of X and X +Y?
b) Show that x, -x)-o a) Suppose Y =-X . Show in a diagram this function, what will be the correlation coefficient between X and Y? 4 the correlation coefficient must b) i) If the covariance between two variables is be positive. True or False? suggest? i) If the covariance between two variables is zero, what does it 5 a) Define mutually exclusive events and independent events bi) For two events A and B (which are not mutually exclusive) complete...
4. [-14 Points] DETAILS (4pt) The variance of random variable X is 1 and the variance of random variable Y is 4. The correlation coefficient between the two random variables X and Y is 0.2. (a) (1pt) Find the covariance between X and Y. (b) A new random variable Z is given by Z = 2X + 1. Find the covariance between X and Z. (1pt) Find the covariance between Y and Z. (2pt)
4 a) Suppose Y X.Show in a diagram this function. What will be the correlation coefficient between X and Y? b)i) If the covariance between two variables is nogative, the correlation coefficient must be positive. True or False? ) If the covariance between two variables is zero. what does it suggest?
What is the covariance and correlation coefficient between
portfolios Y and Z? Please show work.
Return for Portfolio Z 30% State Boom Normal Recession Probability 30% 40% 30% Return for Portfolio Y 20% 10% -10% 15% -15%
explain as much as possible! thanks!
(4pt) The variance of random variable x is 1 and the variance of random variable Y is 16. The correlation coefficient between the two random variables X and Y is 0.9. (a) (1pt) Find the covariance between X and Y. (b) A new random variable Z is given by Z = 5x + 1. Find the covariance between X and Z. (1 pt) Find the covariance between Y and Z. (2pt)
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