5. Among important factors that affecting the price of land lot are size, number of mature trees and distance to the lake. Using data for 60 recently sold land lots are shown below: A B C F 1 SUMMARY OUTPUT Regression Statistics 4 Multiple R 5 R Square 6 Adjusted R Square 7 Standard Error 0.4924 0.2425 0.2019 40.24 8 Observations 60 9. 10 ANOVA Significance F 0.0013 11 df MS 12 Regression 29,030 90,694 119,724 9676.6 5.97 13 Residual 56 1619.5 14 Total 59 15 16 Coefficients Standard Error t Stat P-value 17 Intercept 51.39 23.52 2.19 0.0331 18 Lot size 0.700 0.559 1.25 0.2156 19 Trees 0.679 0.229 2.96 0.0045 20 Distance -0.378 0.195 -1.94 0.0577 a) Write the regression equation b) What is the standard error of estimate? Interpret its value. c) What is the coefficient of determination? Interpret its value. d) What is the adjusted coefficient of determination? Interpret its value. e) Test the validity of the model. f) Interpret each of the coefficients. g) Test at 5% level of significance, whether each of the independent variables is linearly related to the price of land lot in the model.

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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5. Among important factors that affecting the price of land lot are size, number of mature trees and
distance to the lake. Using data for 60 recently sold land lots are shown below:
B
1 SUMMARY OUTPUT
2
3.
Regression Statistics
4 Multiple R
5 R Square
6 Adjusted R Square
7 Standard Error
0.4924
0.2425
0.2019
40.24
8 Observations
60
9.
10 ANOVA
Significance F
5.97
11
df
S
MS
9676.6
0.0013
12 Regression
13 Residual
3
29,030
90,694
56
1619.5
14 Total
59
119,724
15
16
Coefficients Standard Error
t Stat
P-value
0.0331
0.2156
17 Intercept
51.39
23.52
2.19
18 Lot size
0.700
0.559
1.25
19 Trees
0.679
0.229
2.96
0.0045
20 Distance
-0.378
0.195
-1.94
0.0577
a) Write the regression equation
b) What is the standard error of estimate? Interpret its value.
c) What is the coefficient of determination? Interpret its value.
d) What is the adjusted coefficient of determination? Interpret its value.
e) Test the validity of the model.
f) Interpret each of the coefficients.
g) Test at 5% level of significance, whether each of the independent variables is linearly related
to the price of land lot in the model.
Transcribed Image Text:5. Among important factors that affecting the price of land lot are size, number of mature trees and distance to the lake. Using data for 60 recently sold land lots are shown below: B 1 SUMMARY OUTPUT 2 3. Regression Statistics 4 Multiple R 5 R Square 6 Adjusted R Square 7 Standard Error 0.4924 0.2425 0.2019 40.24 8 Observations 60 9. 10 ANOVA Significance F 5.97 11 df S MS 9676.6 0.0013 12 Regression 13 Residual 3 29,030 90,694 56 1619.5 14 Total 59 119,724 15 16 Coefficients Standard Error t Stat P-value 0.0331 0.2156 17 Intercept 51.39 23.52 2.19 18 Lot size 0.700 0.559 1.25 19 Trees 0.679 0.229 2.96 0.0045 20 Distance -0.378 0.195 -1.94 0.0577 a) Write the regression equation b) What is the standard error of estimate? Interpret its value. c) What is the coefficient of determination? Interpret its value. d) What is the adjusted coefficient of determination? Interpret its value. e) Test the validity of the model. f) Interpret each of the coefficients. g) Test at 5% level of significance, whether each of the independent variables is linearly related to the price of land lot in the model.
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