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Question: Which of the following statement(s) is/are true?
I. The multiple correlation coefficient denoted by R takes into account all the independent variables and can be computed by using the values of the individual correlation coefficients.
II. R can range from - 1 to + 1.
III. R can never be negative.
IV. The closer the value of R to + 1, the stronger the relationship and the closer the value of R to - 1, the weaker the relationship.


A ) II and IV only
B ) I and IV only
C ) I and III only
D ) I and II only

Steps to derive

1 The multiple correlation coefficient denoted by R takes into account all the independent variables and can be computed by using the values of the individual correlation coefficients.

2 R can range only from 0 to + 1.

3 As R can range only from 0 to + 1, it can never be negative.

4 The closer the value of R is to + 1, the stronger the relationship and the closer the value of R is to 0, the weaker the relationship.

5 Therefore, only statements I and III are true.



Hence the right answer is Option C

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