In: Statistics and Probability
Here is a bivariate data set.
x   y
30.3   1.4
24.8   -27.5
38.3   14.4
39   39.7
20.3   -2.7
37.9   24.6
51   22.7
22.9   -27.7
40.1   39
33.9   9.7
45.2   62.6
34.4   13.1
19.9   0.5
40.9   21.7
52.2   46.8
20   -6.4
45.2   19.6
30.5   25.6
37.5   31.1
34.3   4
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 =
%
% of the variation in y can be explained by the variation in the
values of x.

correlation coefficient r =0.775
proportion of the variation in y can be explained by the variation in the values of x =60.1 %
60.1 % of the variation in y can be explained by the variation in the values of x.