Find Karl pearson's correlation coefficient for the following data.
X -3 -2 -1 $0$ 1 2 3
Y 9 4 1 $0$ 1 4 9

1

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Solution

The correct option is A $0$
$¯ x = 0, ¯ y = \frac{28}{7} = 4$
$r = \frac{\sum (x - ¯ x) (y - ¯ y)}{\sqrt{\sum {(x - ¯ x)}^{2} \sum {(y - ¯ y)}^{2}}} = \frac{1}{\sqrt{26 \times 84}} = 0.02$
$∴$ $0.02 \approx 0.$

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Find Karl pearson's correlation coefficient for the following data.X-3-2-10123Y9410149

The correct option is A 0¯x=0,¯y=287=4r=∑(x−¯x)(y−¯y)√∑(x−¯x)2∑(y−¯y)2=1√26×84=0.02∴ 0.02≈0.

Find Karl pearson's correlation coefficient for the following data.
X -3 -2 -1 $0$ 1 2 3
Y 9 4 1 $0$ 1 4 9

The correct option is A $0$
$¯ x = 0, ¯ y = \frac{28}{7} = 4$
$r = \frac{\sum (x - ¯ x) (y - ¯ y)}{\sqrt{\sum {(x - ¯ x)}^{2} \sum {(y - ¯ y)}^{2}}} = \frac{1}{\sqrt{26 \times 84}} = 0.02$
$∴$ $0.02 \approx 0.$