MCQ 11 Mark
Calculate the correlation coefficient of the marks obtained by 12 students in mathematics and statistics and interpret it


- A0.76
- ✓0.78
- C0.77
- D
Answer
View full question & answer→Correct option: B.
0.78
(b) 0.78
Explanation:
$\begin{array}{l} r =\frac{N \sum X Y-\sum X \sum Y}{\sqrt{N \sum X^2-\left(\sum X\right)^2} \sqrt{N \sum Y^2-\left(\sum Y\right)^2}} \\ =\frac{12(324)-(6)(5)}{\sqrt{12(598)-(6)^2} \sqrt{12(285)-(5)^2}}=0.78\end{array}$
Explanation:
| X | Y | dX | dY | dX2 | dY2 | dXdY |
| 50 | 22 | -12 | -8 | 144 | 64 | 96 |
| 54 | 25 | -8 | -5 | 64 | 25 | 40 |
| 56 | 34 | -6 | 4 | 36 | 16 | -24 |
| 59 | 28 | -3 | -2 | 9 | 4 | 6 |
| 60 | 26 | -2 | -4 | 4 | 16 | 8 |
| 62(A) | 30(A) | 0 | 0 | 0 | 0 | 0 |
| 61 | 32 | -1 | 2 | 1 | 4 | -2 |
| 65 | 30 | 3 | 0 | 9 | 0 | 0 |
| 67 | 28 | 5 | -2 | 25 | 4 | -10 |
| 71 | 34 | 9 | 4 | 81 | 16 | 36 |
| 71 | 36 | 9 | 6 | 81 | 36 | 54 |
| 74 | 40 | 12 | 10 | 144 | 100 | 120 |
| $\Sigma$ | 6 | 5 | 598 | 285 | 324 |
