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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi
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Solved: The article “Drift in Posturography Systems

Chapter 7, Problem 6E

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QUESTION:

The article “Drift in Posturography Systems Equipped with a Piezoelectric Force Platform: Analysis and Numerical Compensation” (L. Quagliarella, N. Sasanelli, and V. Monaco, IEEE Transactions on Instrumentation and Measurement, 2008:997–1004) reported the results of an experiment to determine the effect of load on the drift in signals derived from a piezoelectric force plate. The correlation coefficient y between output and time was computed for various loads x in kN, as shown in the following table.

a. Compute the least-squares line for predicting y from x.

b. Plot the residuals versus the fitted values. Does the least-squares line seem appropriate?

c. Compute the least-squares line for predicting y from \(x^2\).

d. Plot the residuals versus the fitted values. Does the least-squares line seem appropriate?

e. For each model, find a 95% confidence interval for the mean value of y when \(x=0.32\). Are the confidence intervals similar?

Equation Transcription:

Text Transcription:

x^2

x=0.32

Questions & Answers

QUESTION:

The article “Drift in Posturography Systems Equipped with a Piezoelectric Force Platform: Analysis and Numerical Compensation” (L. Quagliarella, N. Sasanelli, and V. Monaco, IEEE Transactions on Instrumentation and Measurement, 2008:997–1004) reported the results of an experiment to determine the effect of load on the drift in signals derived from a piezoelectric force plate. The correlation coefficient y between output and time was computed for various loads x in kN, as shown in the following table.

a. Compute the least-squares line for predicting y from x.

b. Plot the residuals versus the fitted values. Does the least-squares line seem appropriate?

c. Compute the least-squares line for predicting y from \(x^2\).

d. Plot the residuals versus the fitted values. Does the least-squares line seem appropriate?

e. For each model, find a 95% confidence interval for the mean value of y when \(x=0.32\). Are the confidence intervals similar?

Equation Transcription:

Text Transcription:

x^2

x=0.32

ANSWER:

Step 1 of 10

(a) Given:

Let us first determine the necessary sums:

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