Here is a bivariate data set. x y 40.6 20 40 34.7 23.9 -7.8 37.1 66.9...

Here is a bivariate data set.

x	y
40.6	20
40	34.7
23.9	-7.8
37.1	66.9
39.5	86.1
42.9	21.7
44	-18.8
17.8	62.9
39.8	79.1
40.4	2.1
54.6	133.4
52	83.3
45.7	114.5
29.2	16.9
40.6	106.4
22.8	34.8

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 = %

Solutions

Expert Solution

Correlation coefficient calculation:

r = 0.414

Coefficient of Determination r2 = 0.4138^2 = 0.171

r2 = 17.1%

orchestra answered 1 year ago

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