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.