Discussion
If \(r_{xy} = 0.3\), match the items in list-I with the items in list-II :
| List - I | List - II |
|---|---|
| i. -1 to +1 | 1. 0.3 |
| ii. Correlation coefficient between -X and Y | 2. Limits of correlation coefficient |
| iii. The Square of Correlation Coefficient | 3. -0.3 |
| iv. Coefficient of correlation between -X and -Y | 4. Coefficient of Determination |
Codes : i ii iii iv
Answer: B
The correct matches are i-2, ii-3, iii-4, iv-1. The range from -1 to +1 gives the limits of the correlation coefficient; changing the sign of one variable (between -X and Y) changes the sign of r to -0.3; the square of the correlation coefficient is the coefficient of determination; and changing the sign of both variables (between -X and -Y) leaves r at 0.3. The code is 2 3 4 1, option B.
Options A, C and D give -0.3 to the range or the square, which does not fit.
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