Show that the correlation coefficient between the residuals X2.13 is equal and opposite to that between x1:3 X2.23 and and X2.3.
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- From the data of the following table: Calculate Spearman's rank correlation coefficient between x and y and determine its type. s8/20 Compute the correlation coefficient and determine whether there is a linear relation between X and Y.Suppose that the index model for two Canadian stocks HD and ML is estimated with the following results: RHD =-0.03+2.10RM+eHD R-squared =0.7 RML =0.06+1.60RM+eML R-squared =0.6 σM =0.15 where M is S&P/TSX Comp Index and RX is the excess return of stock X. What is the covariance and the correlation coefficient between HD and ML?
- Suppose that X and Y are unknowns with E(X) = 10, Var (X) = 4, E(Y)=12 and Var (Y) = 100. In addition, suppose that the correlation coefficient of X and Y is .6. Then what is the variance of X-Y?We have obtain the following x-y-pairs of data: x 1.8 10 4.2 7 -8.3 y 6.3 9.6 7.4 -1.3 -1.6 Compute the correlation coefficient for this data and enter it to at least 2 decimal places.7/20 Compute the correlation coefficient and comment on the type of relation that appears to exist between X and Y.
- 13/20 Compute the linear correlation coefficient between age and HDL cholesterol. r = _. Round to three decimal places as needed. Does a linear relation exist between age and HDL cholesterol?Suppose Y1, Y2 and 3Y are not correlated variables, however, have the same standard deviation. Show that correlation between Y1 + Y2 and Y2 + Y3 is equal to half. Whether correlation coefficient is zero or not