You are consulting for a large real estate firm. You have been asked to construct a model that can predict listing prices based on square footages for home in the city you'be been
Regression Output
| SUMMARY OUTPUT | ||||||||
| Regression Statistics | ||||||||
| Multiple R | 0.9796 | |||||||
| R Square | 0.9596 | |||||||
| Adjusted R Square | 0.9592 | |||||||
| Standard Error | 9.5100 | |||||||
| Observations | 105 | |||||||
| ANOVA | ||||||||
| df | SS | MS | F | Significance F | ||||
| Regression | 1 | 221452.232 | 221452.232 | 2448.600 | 1.30E-73 | |||
| Residual | 103 | 9315.357 | 90.440 | |||||
| Total | 104 | 230767.589 | ||||||
| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
| Intercept | -191.5796 | 8.3913 | -22.831 | 0.0000 | -208.2218 | -174.9375 | -208.222 | -174.937 |
| Sq Footage | 0.1856 | 0.0038 | 49.483 | 0.0000 | 0.1781 | 0.1930 | 0.178 | 0.193 |
| Predicted | 198.1 |
Data
| Price | Sq Footage |
| 125 | 1600 |
| 125.9 | 1700 |
| 139.9 | 1700 |
| 147.4 | 1700 |
| 154.3 | 1900 |
| 155.4 | 1900 |
| 164.1 | 1900 |
| 166.2 | 1900 |
| 166.5 | 1900 |
| 171.6 | 1900 |
| 172.4 | 1900 |
| 172.7 | 1900 |
| 173.1 | 1900 |
| 173.6 | 2000 |
| 173.6 | 2000 |
| 175 | 2000 |
| 175.6 | 2000 |
| 176 | 2000 |
| 176.3 | 2000 |
| 177.1 | 2000 |
| 179 | 2000 |
| 179 | 2000 |
| 180.4 | 2100 |
| 182.4 | 2100 |
| 182.7 | 2100 |
| 186.7 | 2100 |
| 187 | 2100 |
| 188.1 | 2100 |
| 188.3 | 2100 |
| 188.3 | 2100 |
| 188.3 | 2100 |
| 188.3 | 2100 |
| 189.4 | 2100 |
| 190.9 | 2100 |
| 192.2 | 2100 |
| 192.6 | 2100 |
| 192.9 | 2100 |
| 194.4 | 2100 |
| 198.3 | 2100 |
| 198.9 | 2100 |
| 199 | 2100 |
| 199.8 | 2100 |
| 205.1 | 2200 |
| 206 | 2200 |
| 207.1 | 2200 |
| 207.5 | 2200 |
| 207.5 | 2200 |
| 209 | 2200 |
| 209.3 | 2200 |
| 209.3 | 2200 |
| 209.7 | 2200 |
| 209.7 | 2200 |
| 213.6 | 2200 |
| 216 | 2200 |
| 216.8 | 2200 |
| 217.8 | 2200 |
| 220.9 | 2200 |
| 221.1 | 2200 |
| 221.5 | 2200 |
| 222.1 | 2200 |
| 224 | 2300 |
| 224.8 | 2300 |
| 227.1 | 2300 |
| 227.1 | 2300 |
| 228.4 | 2300 |
| 232.2 | 2300 |
| 233 | 2300 |
| 234 | 2300 |
| 236.4 | 2300 |
| 236.8 | 2300 |
| 240 | 2300 |
| 242.1 | 2300 |
| 243.7 | 2300 |
| 244.6 | 2300 |
| 245.4 | 2300 |
| 246 | 2300 |
| 246.1 | 2300 |
| 247.7 | 2400 |
| 251.4 | 2400 |
| 252.3 | 2400 |
| 253.2 | 2400 |
| 254.3 | 2400 |
| 257.2 | 2400 |
| 263.1 | 2400 |
| 263.2 | 2400 |
| 266.6 | 2400 |
| 269.2 | 2400 |
| 269.9 | 2400 |
| 270.8 | 2500 |
| 271.8 | 2500 |
| 273.2 | 2500 |
| 281.3 | 2500 |
| 289.8 | 2500 |
| 292.4 | 2500 |
| 293.7 | 2500 |
| 294 | 2600 |
| 294.3 | 2600 |
| 294.5 | 2600 |
| 307.8 | 2600 |
| 310.8 | 2600 |
| 312.1 | 2700 |
| 312.1 | 2700 |
| 326.3 | 2900 |
| 327.2 | 2900 |
| 345.3 | 2900 |
Scatter Plot of Price vs. Sq Footage
Price 1600 1700 1700 1700 1900 1900 1900 1900 1900 1900 1900 1900 1900 2000 2000 2000 2000 2000 2000 2000 2000 2000 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2300 2300 2300 2300 2300 2300 2300 2300 2300 2300 2300 2300 2300 2300 2300 2300 2300 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2500 2500 2500 2500 2500 2500 2500 2600 2600 2600 2600 2600 2700 2700 2900 2900 2900 125 125.9 139.9 147.4 154.30000000000001 155.4 164.1 166.2 166.5 171.6 172.4 172.7 173.1 173.6 173.6 175 175.6 176 176.3 177.1 179 179 180.4 182.4 182.7 186.7 187 188.1 188.3 188.3 188.3 188.3 189.4 190.9 192.2 192.6 192.9 194.4 198.3 198.9 199 199.8 205.1 206 207.1 207.5 207.5 209 209.3 209.3 209.7 209.7 213.6 216 216.8 217.8 220.9 221.1 221.5 222.1 224 224.8 227.1 227.1 228.4 232.2 233 234 236.4 236.8 240 242.1 243.7 244.6 245.4 246 246.1 247.7 251.4 252.3 253.2 254.3 257.2 263.10000000000002 263.2 266.60000000000002 269.2 269.89999999999998 270.8 271.8 273.2 281.3 289.8 292.39999999999998 293.7 294 294.3 294.5 307.8 310.8 312.10000000000002 312.10000000000002 326.3 327.2 345.3Sq Footage
Price
1
2
3
4
5
6
7
8
9
A
B
C
Multiple R
0.9796
R Square
0.9596
Adjusted R Square
0.9592
Standard Error
9.5100
Observations
105
SUMMARY OUTPUT
Regression Statistics