Question: Problem 1 Regression: Regression Statistics Multiple R 0.533609 R Square 0.284739 Adjusted R Square 0.277288 Standard Error 191.659 Observations 98 ANOVA df SS MS F
Problem 1 Regression:
| Regression Statistics | ||||||||
| Multiple R | 0.533609 | |||||||
| R Square | 0.284739 | |||||||
| Adjusted R Square | 0.277288 | |||||||
| Standard Error | 191.659 | |||||||
| Observations | 98 | |||||||
| ANOVA | ||||||||
| df | SS | MS | F | Significance F | ||||
| Regression | 1 | 1403819 | 1403819 | 38.21668 | 1.54E-08 | |||
| Residual | 96 | 3526383 | 36733.15 | |||||
| Total | 97 | 4930202 | ||||||
| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
| Intercept | 244.6221 | 54.55061 | 4.484314 | 2.03E-05 | 136.34 | 352.9042 | 136.34 | 352.9042 |
| lot | 551.7341 | 89.24899 | 6.181964 | 1.54E-08 | 374.5762 | 728.8919 | 374.5762 | 728.8919 |
Problem 2 Regression:
| Regression Statistics | ||||||||
| Multiple R | 0.78 | |||||||
| R Square | 0.61 | |||||||
| Adjusted R Square | 0.58 | |||||||
| Standard Error | 146.27 | |||||||
| Observations | 98 | |||||||
| ANOVA | ||||||||
| df | SS | MS | F | Significance F | ||||
| Regression | 6 | 2983351 | 497225.2 | 23.24137 | 1.81E-16 | |||
| Residual | 91 | 1946851 | 21393.97 | |||||
| Total | 97 | 4930202 | ||||||
| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
| Intercept | -69.27 | 80.53 | -0.86 | 0.39 | -229.24 | 90.69 | -229.24 | 90.69 |
| bath | 46.77 | 24.03 | 1.95 | 0.05 | -0.96 | 94.51 | -0.96 | 94.51 |
| area | 0.11 | 0.02 | 4.49 | 0.00 | 0.06 | 0.15 | 0.06 | 0.15 |
| lot | 330.75 | 74.50 | 4.44 | 0.00 | 182.76 | 478.74 | 182.76 | 478.74 |
| Central_cooling | 88.35 | 30.43 | 2.90 | 0.00 | 27.92 | 148.79 | 27.92 | 148.79 |
| bed | -12.40 | 26.13 | -0.47 | 0.64 | -64.30 | 39.50 | -64.30 | 39.50 |
| Heat_pump | 39.52 | 39.90 | 0.99 | 0.32 | -39.73 | 118.78 | -39.73 | 118.78 |
Using just one number from each of your outputs, compare the regression from problem 1 to Problem 2 regression. Which do you think explains home prices better and why, and which number did you use for this comparison?
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