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 9971004) 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 y 0 196 0 9710 0 245 0 294 0 9735 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

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

The article €œDrift 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.

х y 0.196 -0.9710 0.245 0.294 -0.9735 -0.9694 0.343 -0.9684 0.392 -0.9624 0.441 -0.9688 0.490 -0.9519 0.539 -0.9573 0.5

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?

y 0.196 -0.9710 0.245 0.294 -0.9735 -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

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