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- EXER 6.3 Find the covariance and the correlation coefficient between X and Y, if X and Y are jointly discrete random variables, with joint PMF given by: SHOW SOLUTIONS X\Y 0 1 6 0 28 6 1 28 2 0 333333 28 28 28 2120 28 0Two random variables X andY are related by the expression Y = aX +b, where ta' and 'b' are any real numbers.Calculate Pearson's correlation coefficient r. Then explain the direction and strength of the relationship based on the r.
- Which of the scatter diagrams below suggests a strong positive linear relationship between the x and y variables?Find out the regression coemicients of Y on X and X on Y from the following data: ΣΧ= 50, X= 5 Σ Y-60, Y-6, ΣXY= 350. %3D Variance of X=4, Variance of Y=9.Find the simple regression line y=α+βx for the pairs of points belonging to the independent and dependent variables (xi,yi) , respectively. Also, interpret the result by calculating the Pearson correlation coefficient. Please dont use excel.