Run a regression analysis on the following bivariate set of data with y as the response variable.
x | y |
---|---|
31 | 131.5 |
32.7 | 88.1 |
45.9 | 52.1 |
51.8 | 47 |
65.8 | 30.1 |
58.4 | 36.4 |
84.5 | -92.1 |
25.3 | 103.4 |
49.8 | 37.5 |
4.6 | 127.3 |
46.6 | 32.1 |
75.2 | -12.4 |
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. (If the answer is
0.84471, then it would be 84.5%...you would enter 84.5 without the
percent symbol.)
r² = %
r = -0.921
r^2 = 0.848241 = 84.8 %
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