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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
Bridges covered There is a relationship between the age
of a bridge in Tompkins County, New York, and its con-
dition as found by inspection. Below is a graph of data.
dition as found by inspection. Below is a graph of data.
Two of bridges are considerably older than the rest. The
oldest covered bridge in daily use in New York State was
built in 1853 and was recently judged to have a condition
of 4.523. Another bridge with a rating of 5.4 was built in
oldest covered bridge in daily use in New York State was
built in 1853 and was recently judged to have a condition
of 4.523. Another bridge with a rating of 5.4 was built in
1865. Also below is the regression analysis for this rela-
tionship using all 196 bridges.
tionship using all 196 bridges.
a) If we use this regression to predict the condition of the
oldest bridge, what would its residual be?
We removed the 1853 and 1865 bridges from the analysis
and here are the results:
oldest bridge, what would its residual be?
We removed the 1853 and 1865 bridges from the analysis
and here are the results:
Dependent variable is Condition
R@squared = 46.55, s = 0.7354
Variable Coefficient
Constant -40.7546
Year 0.02343
b) How were these two old bridges affecting the
regression?
c) The 1853 bridge was extensively restored in 1972.
Does that better explain its condition?
R@squared = 46.55, s = 0.7354
Variable Coefficient
Constant -40.7546
Year 0.02343
b) How were these two old bridges affecting the
regression?
c) The 1853 bridge was extensively restored in 1972.
Does that better explain its condition?

Transcribed Image Text:7+
6 +
4 +
3+
1850
1900
1950
2000
Year built
Dependent variable is Condition
R-squared = 42.54% s = 0.7603
Variable
Coefficient
Constant
-36.0501
Year
0.021048
HDI
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