Is there a relationship between x = how many sit-ups you can do and y = how fast you can run 40 yards (in seconds)? The MINITAB output of a regression analysis for the female athlete strength study is shown here.

a. Find the predicted time in the 40-yard dash for a subject who can do
(i) 10 sit-ups and
(ii) 40 sit-ups.
(The minimum and maximum in the study were 10 and 39.) Relate the difference in predicted times to the slope.
b. The number of sit-ups had mean 27.175 and standard deviation 6.887. The time in the 40-yard dash had mean 6.045 and standard deviation 0.365. Show how the correlation relates to the slope, and find its value.

Transcribed Image Text:

Predictor Coef SE Coef TP Constant SIT-UPS-0.024346 0.006349-3.83 0.000 R-Sq 21.1% 6.7065 0.1779 37.70 0.000