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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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