Question

Years 1 2 3 4 5 6 7 8 Height 2.1 3.2 6.8 7.3 11.2 12.6 13.4 15.9 What is the correlation coefficient for the set of data? Round your answer to the nearest thousandth.

Answer 1

r = 0.99

Very strong positive correlation between x and y

Explanation:

Given is a data containing years and the corresponding heights

We have to find the correlation coefficient.

x y

1 2.1

2 3.2

3 6.8

4 7.3

5 11.2

6 12.6

7 13.4

8 15.9

r 0.988670694

Formula for r is

`(n\Sigma xy -\sigma x \Sigma y)/(√((n\Sigma x^2 -(\Sigma x)^2)*)(n\Sigma y^2 -(\Sigma y)^2 )`

Thus we find that correlation coefficient is 0.988670694

Rounding off to two decimals r = 0.99

Very strong positive correlation between x and y