Which of the following statements about correlation coefficient and regression coefficients are correct?
(A) The correlation coefficient is unaffected by change of origin and scale.
(B) Regression coefficients are independent of change of origin but not of scale.
(C) Correlation coefficient is the geometric mean of two regression coefficients.
(D) If one regression coefficient is greater than 1, the other must also be greater than 1.
· Correlation coefficient is independent of the unit of measurement and does not change with a shift in origin or scale.
· Regression coefficients change with scaling but remain unaffected by change in origin.
· The statement "If one regression coefficient is greater than 1, the other must also be greater than 1" is incorrect because one can be greater than 1 and the other less than 1
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when the population standard deviation is known, the appropriate test is:
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