The peak How rate of a person is the fastest rate at which the person can expel air after taking a deep breath. Peak flow rate is measured in units of liters per minute and gives an indication of the person's respiratory health. Researchers measured peak flow rate and height for each of a sample of 17 men. The results are given in the table.17
(a) Calculate the linear regression of Y on X.
(b) What proportion of the variation in flow rate is explained by the linear regression of flow rate on height?
(c) For each subject, calculate the predicted peak flow rate, using the regression equation from part (a).
(d) For each subject, calculate the residual, using the results from part (c).

(e) Calculate se and specify the units.
(f) What percentage of the data points are within ±se of the regression line? That is, what percentage of the 17 residuals are in the interval (-se, se)?

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Subject Height X(cm) Peak flow rateY (/min) 174 183 176 169 183 186 178 175 72 179 572 738 787 670 550 660 575 10 13 14 184 200 195 783 176 190 180.4118 470 642 856 660.0000 1179952 16 Mean SD 8.5591 r 0.32725 SS(resid) 98,909 1