Question: 1-Fit a regression line (where MPG is the dependent variable), 2-Interpret your findings, R-square, Coefficient estimates, etc., 3-Show how you can find R-square by using
1-Fit a regression line (where MPG is the dependent variable),
2-Interpret your findings, R-square, Coefficient estimates, etc.,
3-Show how you can find R-square by using ANOVA table,
4- Make a prediction,
5- Extrapolate (make predictions for values that are outside of the data range, for example, set horsepower as 1000, or 0, etc) and discuss your findings,
6- Mention the linear regression assumptions.
DATA
| MPG | HP |
| 17 | 300 |
| 18 | 240 |
| 18 | 300 |
| 23 | 270 |
| 25 | 200 |
| 21 | 255 |
| 17 | 330 |
| 15 | 350 |
| 20 | 340 |
| 24 | 215 |
| 22 | 300 |
| 19 | 360 |
| 18 | 325 |
| 19 | 260 |
| 17 | 260 |
| 26 | 225 |
| 15 | 275 |
| 18 | 200 |
| 19 | 197 |
| 17 | 275 |
| 13 | 403 |
| 16 | 255 |
| 18 | 255 |
| 17 | 320 |
| 27 | 103 |
| 23 | 145 |
| 21 | 400 |
| 18 | 185 |
| 23 | 172 |
| 20 | 242 |
| 14 | 320 |
| 14 | 320 |
| 15 | 291 |
| 18 | 240 |
| 16 | 340 |
| 16 | 253 |
| 20 | 180 |
| 23 | 173 |
| 17 | 251 |
| 22 | 172 |
| 17 | 340 |
| 12 | 335 |
| 16 | 197 |
| 19 | 250 |
| 16 | 210 |
| 15 | 510 |
| 16 | 265 |
| 19 | 200 |
| 13 | 300 |
| 15 | 210 |
| 20 | 221 |
| 20 | 300 |
| 16 | 263 |
| 31 | 140 |
| 21 | 166 |
| 21 | 166 |
| 34 | 109 |
| 19 | 255 |
| 17 | 255 |
| 25 | 240 |
| 14 | 220 |
| 28 | 110 |
| 19 | 263 |
| 27 | 138 |
| 18 | 242 |
| 23 | 162 |
| 18 | 173 |
| 17 | 260 |
| 19 | 306 |
| 19 | 275 |
| 19 | 294 |
| 19 | 294 |
| 19 | 300 |
| 13 | 330 |
| 22 | 172 |
| 14 | 235 |
| 20 | 172 |
| 15 | 205 |
| 18 | 200 |
| 23 | 162 |
| 28 | 110 |
| 21 | 182 |
| 17 | 244 |
| 15 | 192 |
| 28 | 138 |
| 18 | 173 |
| 13 | 300 |
| 23 | 272 |
| 20 | 245 |
| 15 | 235 |
| 24 | 204 |
| 21 | 380 |
| 19 | 270 |
| 21 | 288 |
| 16 | 265 |
| 20 | 263 |
| 13 | 300 |
| 17 | 239 |
| 29 | 190 |
| 18 | 244 |
| 16 | 263 |
| 27 | 170 |
| 18 | 238 |
| 30 | 148 |
| 23 | 157 |
| 23 | 160 |
| 18 | 302 |
| 21 | 268 |
| 15 | 335 |
| 16 | 268 |
| 17 | 382 |
| 17 | 382 |
| 21 | 268 |
| 16 | 239 |
| 23 | 160 |
| 30 | 172 |
| 23 | 162 |
| 17 | 215 |
| 23 | 160 |
| 19 | 220 |
| 20 | 287 |
| 25 | 175 |
| 13 | 317 |
| 21 | 255 |
| 19 | 245 |
| 15 | 270 |
| 18 | 235 |
| 26 | 140 |
| 29 | 122 |
| 17 | 261 |
| 22 | 169 |
| 20 | 200 |
| 23 | 177 |
| 27 | 126 |
| 20 | 355 |
| 22 | 240 |
| 23 | 210 |
| 21 | 260 |
| 20 | 224 |
| 16 | 275 |
| 24 | 260 |
| 17 | 257 |
| 26 | 160 |
| 23 | 158 |
| 22 | 173 |
| 18 | 250 |
| 21 | 168 |
| 16 | 256 |
| 27 | 126 |
| 18 | 185 |
| 22 | 143 |
| 17 | 252 |
| 16 | 239 |
| 22 | 280 |
| 24 | 158 |
| 21 | 225 |
| 29 | 130 |
| 17 | 239 |
| 18 | 270 |
| 44 | 110 |
| 23 | 166 |
| 18 | 266 |
| 34 | 106 |
| 25 | 200 |
| 24 | 150 |
| 24 | 200 |
| 23 | 168 |
| 22 | 208 |
| 20 | 235 |
| 20 | 218 |
| 16 | 311 |
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