Math 146 Correlation and Regression Quiz #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 = 5% Team: Lions Bears Jags Colts Jets Bucs 49ers Seahawks Bills Broncos Fumbles (x): 5 12 13 7 9 9 15 6 5 14 Wins (y): 3 3 8 5 9 2 10 7 9 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 of games. 3. The null hypothesis is that there is no / positive / negative correlation. 4. The alternative hypothesis is that there is no / positive / negative correlation