Problem 2
Explained and unexplained variation and the least-squares regression line
Given the following data:
| x | y |
| 107.4 | 125.7 |
| 122.1 | 131.9 |
| 127.4 | 123.1 |
| 137 | 145.6 |
| 147.7 | 141.6 |
What is the equation for this sample?
What is the variation in the sample y values that is not explained by the estimated linear relationship (SSE)?
What is the proportion of the total variation in the sample y values that is explained by the estimated linear relationship (r-squared)?
For the data point (107.4,125.7) what is the residual?
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