#This is data for the 2016 NFL season on the number of fumbles a team lost and its wins.Test for negative correlation between fumbles and wins using a = 5%

Team:LionsBearsJagsColtsJetsBucs49ersSeahawksBillsBroncos

Fumbles (x):5121379915 6514

Wins (y):9 3 38 5 9 2 10 7 9

(i)Write down the null and alternative hypotheses:

(ii)Find the p-value, show how to determine the result of the test, and then write down the result:

(iii)Write down the final conclusion:

(iv)Make a prediction for the number of wins if a team lost 4 fumbles:

(v)Calculate the residual for the Seattle Seahawks.

(vi)Choose the word or words in bold that makes sense:

1.The Seattle Seahawks won a larger / a smaller / the same number of games as expected, according to the regression equation.

2.Testing for negative correlation probably makes sense because losing fumbles is a bad thing for a football team, so we should expect that a football team that lost more fumbles would win more / less / the same amount ofgames.

3.The null hypothesis is that there is no / positive / negative correlation.

4.The alternative hypothesis is that there is no / positive / negative correlation.