MCQ
Calculate the correlation coefficient between x and y and comment on their relationship
X321123
Y941149
  • A
    $0.47$
  • B
    $0.25$
  • C
    $0.0$
  • $0.99$

Answer

Correct option: D.
$0.99$
(d) 0.99
Explanation:
XYdXdY$d X^2$$d Y^2$dXdY
39151255
2(A)4(A)00000
11-1-3193
11-1-3193
2400000
39151255
$\sum$0446816
$\begin{array}{l} r =\frac{N \sum X Y-\sum X \sum Y}{\sqrt{N \sum X^2-\left(\sum X\right)^2} \sqrt{N \sum Y^2-\left(\sum Y\right)^2}} \\ =\frac{6(16)-(0)(4)}{\sqrt{6(4)-(0)^2} \sqrt{6(68)-(4)^2}}=0.99\end{array}$

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