The number of pass attempts and passing yards for seven professional quarterbacks for a recent regular season is given.

Question

Pass Attempts, x 583 571 550 541 506 514 486

Passing Yards, y 4770 4500 4483 4434 4328 4388 4254

(a)Calculate the sample correlation coefficient and identify the type of correlation that exists if any.

b) What interpretation can you conclude from the given data?

c) Is the relationship significant? Explain.

Answer 1

The correlation coefficient is 0.911705, which indicates a strong positive association between passing attempts and passing yards. For a sample size of 7, that value of r is statistically significant at below the 0.01 level of significance (per the critical values for correlation coefficients table).