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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