Question

In: Statistics and Probability

Lot Price Data Lot Price is lot price in $1000s Lot Size is lot size in...

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

Solutions

Expert Solution

The answer is FALSE.

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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