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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Rishab Soni
Statement 1 is true, that is the coefficient of correlation will have the same sign as the regression coefficient as that of the regression coefficients, such as if the regression coefficients have a positive sign, then “r” will be positive and vice-versa. Statement 2 is true that is the arithmetic mean of the regression coefficient is always more than the correlation coefficient statement 3 is false as regression coefficient are independent of change of origin but not change of scale statement 4 is also true as the multiple correlation coefficient, which is often denoted by R, is the square root of the coefficient of determination. Hope that helps. Thank you. 😊