In: Statistics and Probability
| Lot Price Data | ||||
| Lot Price is lot price in $1000s | ||||
| Lot Size is lot size in 1000s of square feet | ||||
| Mature Trees is the number of mature trees on the property | ||||
| Distance from Water is the distance from the edge of property to the water in feet | ||||
| Distance from Road is the distance from the main road to the center of the property in miles | ||||
| Lot Price | Lot Size | Mature Trees | Distance from Water | Distance from Road |
| 105.4 | 41.2 | 24 | 42 | 0.6 |
| 91.2 | 44.8 | 5 | 71 | 1.3 |
| 183.3 | 21.3 | 72 | 43 | 0.7 |
| 93.8 | 43.9 | 58 | 14 | 0.6 |
| 207.5 | 57.7 | 52 | 12 | 1.3 |
| 130.9 | 33.4 | 78 | 26 | 1.2 |
| 162.3 | 31.4 | 65 | 51 | 1.2 |
| 18.8 | 27.4 | 22 | 0 | 1.1 |
| 80.5 | 26.2 | 68 | 83 | 0.8 |
| 38.3 | 40.0 | 57 | 76 | 0.9 |
| 71.3 | 47.6 | 53 | 35 | 0.9 |
| 55.5 | 31.6 | 36 | 26 | 0.4 |
| 85.7 | 21.6 | 23 | 24 | 0.1 |
| 110.5 | 36.3 | 48 | 98 | 0.9 |
| 85.1 | 47.2 | 61 | 59 | 0.6 |
| 78.3 | 30.5 | 41 | 55 | 1.0 |
| 27.2 | 41.8 | 1 | 60 | 0.8 |
| 70.9 | 20.6 | 20 | 33 | 0.3 |
| 101.4 | 35.3 | 38 | 75 | 0.1 |
| 133.3 | 40.1 | 68 | 0 | 0.9 |
| 117.7 | 35.6 | 24 | 41 | 0.9 |
| 49.7 | 20.6 | 16 | 77 | 0.6 |
| 49.6 | 22.4 | 32 | 86 | 0.7 |
| 83.2 | 45.8 | 77 | 19 | 1.0 |
| 81.3 | 29.4 | 40 | 0 | 0.2 |
| 152.5 | 51.7 | 60 | 34 | 0.8 |
| 112.2 | 27.2 | 0 | 16 | 0.6 |
| 37.1 | 37.0 | 50 | 49 | 1.0 |
| 130.2 | 38.9 | 48 | 63 | 0.7 |
| 39.1 | 32.5 | 25 | 45 | 0.1 |
| 81.9 | 34.0 | 12 | 0 | 0.6 |
| 24.6 | 35.8 | 16 | 34 | 0.4 |
| 101.9 | 32.9 | 44 | 42 | 0.2 |
| 117.6 | 46.4 | 62 | 48 | 0.6 |
| 148.8 | 51.9 | 59 | 39 | 0.2 |
| 60.2 | 28.9 | 0 | 66 | 0.7 |
| 43.7 | 35.2 | 57 | 77 | 0.2 |
| 113.1 | 30.4 | 70 | 78 | 1.2 |
| 38.1 | 38.3 | 24 | 62 | 0.8 |
| 89.2 | 49.2 | 61 | 0 | 1.0 |
| 3.0 | 21.5 | 46 | 83 | 0.7 |
| 55.8 | 41.9 | 10 | 69 | 0.6 |
| 89.7 | 21.8 | 79 | 62 | 0.5 |
| 136.1 | 66.3 | 56 | 34 | 0.5 |
| 44.7 | 28.2 | 73 | 77 | 0.3 |
| 63.2 | 41.9 | 64 | 65 | 1.2 |
| 163.4 | 46.7 | 69 | 27 | 1.0 |
| 64.1 | 32.1 | 12 | 0 | 0.4 |
| 98.7 | 38.5 | 59 | 77 | 0.3 |
| 139.9 | 27.6 | 0 | 0 | 1.1 |
| 92.0 | 47.0 | 65 | 37 | 1.3 |
| 66.6 | 20.7 | 24 | 51 | 0.1 |
| 16.4 | 34.0 | 12 | 75 | 1.3 |
| 131.9 | 31.9 | 76 | 63 | 0.9 |
| 11.0 | 28.0 | 2 | 42 | 0.4 |
| 27.9 | 40.0 | 52 | 84 | 0.8 |
| 103.5 | 46.6 | 26 | 70 | 0.9 |
| 107.0 | 23.2 | 11 | 83 | 0.3 |
| 51.6 | 46.4 | 53 | 44 | 0.6 |
| 133.4 | 32.1 | 55 | 98 | 0.2 |
Use the Lot Price Data to run a regression in Excel. Your response variable is Lot Price, while the other four variables are all X variables in this regression. For the Mature Trees variable, the 95% confidence interval for the slope coefficient includes the hypothesized value of zero.
TRUE OR FALSE
The answer is FALSE.
| R² | 0.245 | |||||
| Adjusted R² | 0.190 | |||||
| R | 0.495 | |||||
| Std. Error | 40.549 | |||||
| n | 60 | |||||
| k | 4 | |||||
| Dep. Var. | Lot Price | |||||
| ANOVA table | ||||||
| Source | SS | df | MS | F | p-value | |
| Regression | 29,291.9912 | 4 | 7,322.9978 | 4.45 | .0034 | |
| Residual | 90,432.0581 | 55 | 1,644.2192 | |||
| Total | 1,19,724.0493 | 59 | ||||
| Regression output | confidence interval | |||||
| variables | coefficients | std. error | t (df=55) | p-value | 95% lower | 95% upper |
| Intercept | 49.3997 | |||||
| Lot Size | 0.6430 | 0.5808 | 1.107 | .2731 | -0.5210 | 1.8070 |
| Mature Trees | 0.6690 | 0.2324 | 2.879 | .0057 | 0.2033 | 1.1346 |
| Distance from Water | -0.3761 | 0.1968 | -1.911 | .0612 | -0.7705 | 0.0183 |
| Distance from Road | 6.2642 | 15.6844 | 0.399 | .6912 | -25.1680 | 37.6964 |
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