Question

Here is a bivariate data set.

x	y
39.1	42.5
17.1	215.1
28.7	109.5
55.4	18.5
19.9	186.9
9.8	31.2
62.7	-41.6
61.9	-16.5
58.4	-31.2
63.3	-120.1
67.1	124.8

Find the correlation coefficient and report it accurate to three decimal places.
r =

What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.
r² = %

Answer 1

The statistical software output for this problem is :

r = -0.633

r² = 40.0%