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Structural engineers use wireless sensor networks to monitor the condition of dams and bridges. The article “Statistical Analysis of Vibration
- a. Construct a
scatterplot of frequency (y) versus damping ratio (x). Verify that a linear model is appropriate. - b. Compute the least-squares line for predicting frequency from damping ratio.
- c. If two modes differ in damping ratio by 0.2, by how much would you predict their frequencies to differ?
- d. Predict the frequency for modes with damping ratio 0.75.
- e. Should the equation be used to predict the frequency for modes that are overdamped (damping ratio > 1)? Explain why or why not.
- f. For what damping ratio would you predict a frequency of 2.0?
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