ootball league face a decision during the game. On fourth-down, should the team

Question

ootball league face a decision during the game. On fourth-down, should the team punt the ball or go for a first-down? To aid in the Each week decision-making process, statisticians at a particular university developed a regression model for predicting the number of points soored (y) by a team that has a linear regression model E(y) . Po + 1 x The regression yielded the following results y . 312-0 52x ? . 0 19. Complete parts a and b below OC. There is a positive linear relationship betwoon numbers of yards to the opposing goal line and numbers of points scored because 0.19 is positive. in a with a given number of yards (x) from the opposing goal line. One of the models fit to data collected on five league teams from a recent season was the simple ampe var ations in the numbers of yards o the o posr squares line. goal line explain 81% of he sample vanation in the numbers of points scored using the least b. Compute the value of the coefficient of correlation, r, from the value of i2. Is the value of r positive or negative? Why? Select the correct choice below and fill in the answer box within your choice Round to three decimal places as needed.) OA. The ce cent of corelation,r= s positive because the estimatoroB. The coefficient of correlation r-Dispositve because the estimator of is negative. is positive. The coefficiento correlation, r-Ois negative because the esti atro p, is positive. OD. cent of correlation,-is negative because the estimator of OC. The ce is negative.

Explanation / Answer

Part B)

Equation is:

y = 3.12 - 0.52 * x

As coefficient of 'x' is negative, there is a negative relationship and hence 'r' must be negative

r = sqrt(0.19)

r = -0.19 and 0.19

But here, r = - 0.19

D option

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