Runners are concerned about their form when racing. One measure of form is the s

Question

Runners are concerned about their form when racing. One measure of form is the stride rate, the number of steps taken per second. As running speed increases, the stride also Increase. In a study of 21 of the best American female runners, researchers measured the stride rate for different speeds. The following table gives the speeds (in feet and the mean stride rates for these runners (a) Plot the data with speed on the x axis and stride rate on the y axis. (Do this on paper. Your instructor may ask you to turn this in.) Does a straight line adequate these data? Yes No not enough information (b) Find the equation of the regression line of stride rate on speed. Draw this line on your plot. (Round your answers to four decimal places.) stride rate = + speed (c) For each of the speeds given, obtain the predicted value of the stride rate and the residual. Verify that the residuals add to zero. (Round your answers to three

Explanation / Answer

a)

yes , straight line is adequate

b)

stride^ = 1.49597 + 0.099414 *speed

= 1.4960 + 0.0994*speed

c)

Please rate my solution

SUMMARY OUTPUT Regression Statistics Multiple R 0.990537081 R Square 0.981163709 Adjusted R Square 0.977396451 Standard Error 0.035503867 Observations 7 ANOVA df SS MS F Significance F Regression 1 0.32829738 0.328297377 260.4450368 1.66461E-05 Residual 5 0.00630262 0.001260525 Total 6 0.3346 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 1.495973165 0.11628014 12.86525109 5.05245E-05 1.197065556 1.794881 speed 0.099414765 0.00616017 16.1383096 1.66461E-05 0.083579538 0.11525

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