Here is a bivariate data set.
x | y |
---|---|
24.1 | 117.6 |
27.7 | 117.8 |
43.3 | 57.5 |
26.1 | 97.5 |
33.5 | 79.6 |
43.2 | 59.4 |
17.5 | 127 |
11 | 112.5 |
25.9 | 86.2 |
43.2 | 48.4 |
21.8 | 69.7 |
27.9 | 83 |
10.4 | 101.3 |
24.4 | 80.7 |
51.8 | -6.1 |
36.6 | 74.7 |
37.1 | 73.4 |
44.6 | 54.4 |
14.2 | 136.5 |
30.8 | 97.5 |
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 = %
Solution:-
a) The correlation coefficient is - 0.836.
r = - 0.836
b) The proportion of the variation in y can be explained by the variation in the values of x is 69.9%.
r2 = (r)2
r2 = (-0.836)2
r2 = 0.6989
The proportion of the variation in y can be explained by the variation in the values of x is 69.89%.
Here is a bivariate data set. x y 24.1 117.6 27.7 117.8 43.3 57.5 26.1 97.5...
Here is a bivariate data set. x y 44.1 57.5 28.1 30.4 19.3 21.1 19.4 7.6 23.9 22.7 23.6 25.6 36.5 43.3 47.5 56 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 = %