If rxy=0.3, match List–I with List–II. List–IList–II i. −1 to +1 1. 0.3 ii. Correlation coefficient…
Correlation lies in [−1,1]; changing only X's sign gives −0.3, changing both signs restores +0.3. In simple regression with an intercept r² is the coefficient of…
Choose your answer
If rxy=0.3, match List–I with 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 ordered i, ii, iii, iv:
Answer and explanation
Correct answer B
Correlation lies in [−1,1]; changing only X's sign gives −0.3, changing both signs restores +0.3. In simple regression with an intercept r² is the coefficient of determination. Therefore i→2, ii→3, iii→4, iv→1; the other code permutations mismatch these identities. 1,2,3,4 2,3,4,1 3,1,2,4 4,1,2,3 1,2,3,4 This alternative fails the selection criterion or distinction explained above. 2,3,4,1 This is the derived selection under the stated interpretation. 3,1,2,4 This alternative fails the selection criterion or distinction explained above. 4,1,2,3 This alternative fails the selection criterion or distinction explained above.
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UGC NET Economics