Question

A researcher is interested in determining whether there is a correlation between number of packs of cigarettes smoked per day and longevity (in years). n=10.

Longevity

# packs of cigarettes smoked (X)	(Y)
0	80
0	70
1	72
1	70
2	68
2	65
3	69
3	60
4	58
4	55

Answer 1

Solution:

The correlation coefficient between X & Y is

r(x,y) = -0.875

Hence, there is negative correlation between packed of cigarettes smoked (x) and longevity (y).

It means tha if number of cigarettes smoked is increses then longevity will be decreases.

Scatter diagram:-

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