Match the items of List – I with the items of List – II and indicate the code of their correct matching…
The expression r_xy * (sigma_y / sigma_x) is the regression coefficient of Y on X (iii), Sigma(X - X_bar)(Y - Y_bar) / (n * sigma_x * sigma_y) is Karl Pearson's correlation…
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Match the items of List – I with the items of List – II and indicate the code of their correct matching with regard to correlation and regression analysis :
List – I
List – II a. r_xy * (sigma_y / sigma_x) i. Covariance between X and Y b. Sigma(X - X_bar)(Y - Y_bar) / (n * sigma_x * sigma_y) ii. Standard error of coefficient of correlation c. Sigma(X - X_bar)(Y - Y_bar) / n
iii. Regression coefficient of Y on X variable. d. (1 - r^2) / sqrt(n) iv. Karl Pearson’s coefficient of correlation
Answer and explanation
Correct answer D
The expression r_xy * (sigma_y / sigma_x) is the regression coefficient of Y on X (iii), Sigma(X - X_bar)(Y - Y_bar) / (n * sigma_x * sigma_y) is Karl Pearson's correlation coefficient (iv), Sigma(X - X_bar)(Y - Y_bar) / n is the covariance between X and Y (i), and (1 - r^2) / sqrt(n) is the standard error of the correlation coefficient (ii).
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