In: Statistics and Probability
An agricultural researcher collected the following data showing the annual yield of maize (in tonnes per acre) and the annual rainfall (in inches).
Rainfall (x) | Yield of maize (y) |
10.1 | 27.1 |
18.6 | 36.2 |
8.1 | 21.6 |
11.3 | 25.2 |
6.9 | 16.9 |
14.1 | 36.1 |
14 | 27.2 |
13.8 | 25.6 |
(a) Determine the regression equation for the data.
(b) Estimate the annual yield of maize if the annual rainfall is 15 inches.
(c) Compute the coefficient of determination and interpret the result.
(d) Determine the linear correlation coefficient and interpret the result.