Question
For bivariate data, the regression coefficient of Y on X is 0.4 and the regression coefficient of X on Y is 0.9. Find the value of the variance of Y if the variance of X is 9.
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| Fruit | Unit | Price (in Rs.) in 2000 | Price (in Rs.) in 2007 |
| Mango | doz | 250 | 300 |
| Banana | doz | 12 | 24 |
| Apple | kg | 80 | 110 |
| Peach | kg | 75 | 90 |
| Orange | doz | 33 | 65 |
| Sweet Lime | doz | 30 | 45 |
| X | -3 | -2 | -1 | 0 | 1 | 2 | 3 |
| P(X=x) | 0.05 | 0.1 | 0.15 | 0.20 | 0.25 | 0.15 | 0.1 |
| p | q | r | q → r | r → p | (q → r) ˅ (r → p) |
| T | T | T | T | $\square$ | T |
| T | T | F | F | $\square$ | $\square$ |
| T | F | T | T | $\square$ | T |
| T | F | F | T | $\square$ | $\square$ |
| F | T | T | $\square$ | F | T |
| F | T | F | $\square$ | T | $\square$ |
| F | F | T | $\square$ | F | T |
| F | F | F | $\square$ | T | $\square$ |