Homework SourseData represents the time between eruptions and the length of
Data represents the time between eruptions and the length of eruption for 8 randomly selected geyser eruptions. The coefficient of determination is found to be 96.3%. Inerpret this result.
96.3% of the variation in length of eruption is/is not explained by the least-squares regression equation.
OR
96.3% of the variation in time between eruptions is/is not explained by the least-squares regression equation
| Time, X | Length, Y | Time, X | Length, Y |
| 12.28 | 1.88 | 11.44 | 1.68 |
| 11.59 | 1.70 | 11.74 | 1.71 |
| 12.04 | 1.82 | 12.25 | 1.90 |
| 12.19 | 1.85 | 11.58 | 1.71 |
Solution
The dependent variable \'Y\' is the Length. The R-square value also known as the coefficient of determination tells us about the amount of variation in dependent variable explained by the independent variable(s).
So in this case R-square value will tell us the amount of variation in \"length\" explained by the variable \"time\".
So,96.3% of the variation in length of eruption is explained by the least-squares regression equation.
