The numbers of pass attempts and passing yards
The numbers of pass attempts and passing yards for seven professional quarterback for a recent year are listed in the table below. Round all answers to the nearest 1000th.
Pass attempts (x) 449 565 528 197 670 351 218
Passing Yards (y) 3265 4018 3669 1141 5177 2362 1737
a. Calculate the sample correlation coefficient, r.
b. Describe the type of correlation coefficient and interpret the correlation in the context of the data.
c. Test the significance of the correlation coefficient, r, that you found in part a. Use α=.05. Is there enough evidence to conclude that there is a significant linear relationship between the data?
d. Find the equation of the regression line for the data.
e. Use the regression equation to predict the average number passing yards if the pass attempts are 250.