Concept explainers
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
x | y |
0.196 | –0.9710 |
0.245 | –0.9735 |
0.294 | –0.9694 |
0.343 | –0.9684 |
0.392 | –0.9624 |
0.441 | –0.9688 |
0.490 | –0.9519 |
0.539 | –0.9573 |
0.588 | –0.9515 |
- 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 x2.
- 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?
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