Which of the following statements is not true?
2021
Which of the following statements is not true?
- A.
Correlation co-efficient is the arithmetic mean between the regression co-efficients
- B.
Regression co-efficients are independent of change of origin but not of scale
- C.
If r = 0, then the lines of regression are perpendicular to each other
- D.
Both the regression co-efficient and the correlation co-efficient have the same sign
Attempted by 8 students.
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Correct answer: A
The correlation coefficient (r) is mathematically defined as the geometric mean of the two regression coefficients (b_xy and b_yx), not their arithmetic mean. Therefore, any statement claiming that the correlation coefficient is the arithmetic mean of regression coefficients is false and represents the correct choice for this question.