Question

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 = %

Answer 1

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%.