Draw a scatter diagram from the given data comment whether it represents positive or negative relationship and why?

$\begin{matrix} x & 10 & 9 & 8 & 7 & 6 & 5 & 4 & 3 & 2 & 1 y & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \end{matrix}$

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Solution

By looking at the scatter diagram, we can say that there is a perfect negative correlation between the variables x and y because the values of x and y move in the opposite directions by the same unit.

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Similar questions

X	:	11	10	15	13	10	16	13	8	17	14
Y	:	6	7	9	9	7	11	9	6	12	11

Height (in inches)	:	72	60	63	66	70	75	58	78	72	62
Weight (in kg)	:	65	54	55	61	60	54	50	63	65	50

Capital employed (in crores of ₹ ) (X)	:	2	3	5	6	8	9
Profit (in lacs of ₹ ) (Y)	:	6	5	7	8	12	11

X	:	15	18	30	27	25	23	30
Y	:	7	10	17	16	12	13	9

Calculate the correlation coefficient between X and Y and comment on their relationship

X	1	3	4	5	7	8
Y	2	6	8	10	14	16

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