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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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
Transcribed Image Text:Structural engineers use wireless sensor networks to monitor the condition of dams and
bridges. The article “Statistical Analysis of Vibration Modes of a Suspension Bridge Using
Spatially Dense Wireless Sensor Network" (S. Pakzad and G. Fenves, Journal of Structural
Engineering, 2009:863-872) describes an experiment in which accelerometers were placed
on the Golden Gate Bridge for the purpose of estimating vibration modes. The following
output (from MINITAB) describes the fit of a linear model that predicts the
frequency (in Hz) in terms of the damping ratio for overdamped (damping ratio >
1) modes. There are n = 7 observations.
The regression equation is
Frequency = 0.773 - 0.280 Damping Ratio
Predictor
Coef SE Coef
Constant
0.77289 0.14534 5.31760.003
Damping -0.279850.079258 -3.53090.017
Ratio
How many degrees of freedom are there for the Student's t statistics?
Find a 98% confidence interval for ß1.
a.
b.
Find a 98% confidence interval for Bo-
C.
d.
Someone claims that the frequency decreases by 0.6 Hz if the damping ratio increases
by 1. Use the given output to perform a hypothesis test to determine whether this claim
is plausible.
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