Question

Calculate the correlation coefficient between X and Y and comment on their relationship:X –3 –2 –1 1 2 3Y 9 4 1 1 4 9

Answer 1

Answer:

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Answer 2

Answer: The answer is 0

Step-by-step explanation:

• Step 1: The table

                                        ∑

X   -3  -2   -1   1   2   3       0

Y    9    4    1   1   4   9       28

XY -27  -8  -1  1   8   27      0

X²   9   4     1   1   4    9       28

Y²   81   16   1   1   16  81     196

• Step 2: Find the correlation coefficients

$r = \frac{\sum XY - \frac{\sum X \sum Y}{N}}\sqrt{{\sum X^2\sum Y^2$

$r = \frac{0 - \frac{0X28}{6}}{\sqrt{28X196}}$

$r=0$

Therefore coefficient of correlation is 0.

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