08 Feb For the attached data, find the multiple linear regression formula using X1 as the dependent variable and X2-X7 as the independent v
- For the attached data, find the multiple linear regression formula using X1 as the dependent variable and X2-X7 as the independent variables.
- Using whatever means necessary find the model of best fit and justify your choices.
- Determine what variables are significant at a sig. level of 10%.
- State what independent variable if any should be tested for interaction.
- Choose any two observed variables and calculate their residuals.
- What are the 4 assumptions about the error terms, (residuals) that need to be in order to perform multiple linear regression.
mlr09
| X1 | X2 | X3 | X4 | X5 |
| 6.8 | 225 | 0.442 | 0.672 | 9.2 |
| 6.3 | 180 | 0.435 | 0.797 | 11.7 |
| 6.4 | 190 | 0.456 | 0.761 | 15.8 |
| 6.2 | 180 | 0.416 | 0.651 | 8.6 |
| 6.9 | 205 | 0.449 | 0.9 | 23.2 |
| 6.4 | 225 | 0.431 | 0.78 | 27.4 |
| 6.3 | 185 | 0.487 | 0.771 | 9.3 |
| 6.8 | 235 | 0.469 | 0.75 | 16 |
| 6.9 | 235 | 0.435 | 0.818 | 4.7 |
| 6.7 | 210 | 0.48 | 0.825 | 12.5 |
| 6.9 | 245 | 0.516 | 0.632 | 20.1 |
| 6.9 | 245 | 0.493 | 0.757 | 9.1 |
| 6.3 | 185 | 0.374 | 0.709 | 8.1 |
| 6.1 | 185 | 0.424 | 0.782 | 8.6 |
| 6.2 | 180 | 0.441 | 0.775 | 20.3 |
| 6.8 | 220 | 0.503 | 0.88 | 25 |
| 6.5 | 194 | 0.503 | 0.833 | 19.2 |
| 7.6 | 225 | 0.425 | 0.571 | 3.3 |
| 6.3 | 210 | 0.371 | 0.816 | 11.2 |
| 7.1 | 240 | 0.504 | 0.714 | 10.5 |
| 6.8 | 225 | 0.4 | 0.765 | 10.1 |
| 7.3 | 263 | 0.482 | 0.655 | 7.2 |
| 6.4 | 210 | 0.475 | 0.244 | 13.6 |
| 6.8 | 235 | 0.428 | 0.728 | 9 |
| 7.2 | 230 | 0.559 | 0.721 | 24.6 |
| 6.4 | 190 | 0.441 | 0.757 | 12.6 |
| 6.6 | 220 | 0.492 | 0.747 | 5.6 |
| 6.8 | 210 | 0.402 | 0.739 | 8.7 |
| 6.1 | 180 | 0.415 | 0.713 | 7.7 |
| 6.5 | 235 | 0.492 | 0.742 | 24.1 |
| 6.4 | 185 | 0.484 | 0.861 | 11.7 |
| 6 | 175 | 0.387 | 0.721 | 7.7 |
| 6 | 192 | 0.436 | 0.785 | 9.6 |
| 7.3 | 263 | 0.482 | 0.655 | 7.2 |
| 6.1 | 180 | 0.34 | 0.821 | 12.3 |
| 6.7 | 240 | 0.516 | 0.728 | 8.9 |
| 6.4 | 210 | 0.475 | 0.846 | 13.6 |
| 5.8 | 160 | 0.412 | 0.813 | 11.2 |
| 6.9 | 230 | 0.411 | 0.595 | 2.8 |
| 7 | 245 | 0.407 | 0.573 | 3.2 |
| 7.3 | 228 | 0.445 | 0.726 | 9.4 |
| 5.9 | 155 | 0.291 | 0.707 | 11.9 |
| 6.2 | 200 | 0.449 | 0.804 | 15.4 |
| 6.8 | 235 | 0.546 | 0.784 | 7.4 |
| 7 | 235 | 0.48 | 0.744 | 18.9 |
| 5.9 | 105 | 0.359 | 0.839 | 7.9 |
| 6.1 | 180 | 0.528 | 0.79 | 12.2 |
| 5.7 | 185 | 0.352 | 0.701 | 11 |
| 7.1 | 245 | 0.414 | 0.778 | 2.8 |
| 5.8 | 180 | 0.425 | 0.872 | 11.8 |
| 7.4 | 240 | 0.599 | 0.713 | 17.1 |
| 6.8 | 225 | 0.482 | 0.701 | 11.6 |
| 6.8 | 215 | 0.457 | 0.734 | 5.8 |
| 7 | 230 | 0.435 | 0.764 | 8.3 |
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