MCQ 11 Mark
Compute the coefficient of correlation of the following score of A and B
| A | 5 | 10 | 5 | 11 | 12 | 4 | 3 | 2 | 7 | 1 |
| B | 1 | 6 | 2 | 8 | 5 | 1 | 4 | 6 | 5 | 2 |
- A$0.54$
- B$0.52$
- ✓$0.58$
- D$0.56$
Answer
View full question & answer→Correct option: C.
$0.58$
(c) 0.58
Explanation:
$\begin{array}{l} r =\frac{N \sum X Y-\sum X \sum Y}{\sqrt{N\left(\sum X^2\right)-\left(\sum X\right)^2} \sqrt{N\left(\sum Y^2\right)-\left(\sum Y\right)^2}} \\ =\frac{10(288)-(60)(40)}{\sqrt{10(494)-(60)^2} \sqrt{10(212)-(40)^2}}=0.58\end{array}$
Explanation:
| A(X) | B(Y) | XY | X2 | Y2 |
| 5 | 1 | 5 | 25 | 1 |
| 10 | 6 | 60 | 100 | 36 |
| 5 | 2 | 10 | 25 | 4 |
| 11 | 8 | 88 | 121 | 64 |
| 12 | 5 | 60 | 144 | 25 |
| 4 | 1 | 4 | 16 | 1 |
| 3 | 4 | 12 | 9 | 16 |
| 2 | 6 | 12 | 4 | 36 |
| 7 | 5 | 35 | 49 | 25 |
| 1 | 2 | 2 | 1 | 4 |
| $\Sigma$ | 288 | 494 | 212 |