What is the relationship between the attendance at a majorleague ball game and the total number of runs scored? Attendancefigures (in thousands) and the runs scored for 11 randomly selectedgames are shown below.

Attendance4135464445201310573315

Runs6411910354851

Find the correlation coefficient:r=r=    Round to 2 decimal places.

The null and alternative hypotheses for correlation are:
H0:H0: ? μ r ρ  == 0
H1:H1: ? r μ ρ   ≠≠ 0
The p-value is:    (Round to four decimalplaces)

Use a level of significance of α=0.05α=0.05 to state theconclusion of the hypothesis test in the context of the study.

There is statistically significant evidence to conclude thatthere is a correlation between the attendance of baseball games andthe runs scored. Thus, the regression line is useful.

There is statistically significant evidence to conclude that agame with a higher attendance will have more runs scored than agame with lower attendance.

There is statistically insignificant evidence to conclude thatthere is a correlation between the attendance of baseball games andthe runs scored. Thus, the use of the regression line is notappropriate.

There is statistically significant evidence to conclude that agame with higher attendance will have fewer runs scored than a gamewith lower attendance.

r2r2 =  (Round to two decimal places) (Round to twodecimal places)

Interpret r2r2 :

Given any fixed attendance, 61% of all of those games will havethe predicted number of runs scored.

There is a 61% chance that the regression line will be a goodpredictor for the runs scored based on the attendance of thegame.

61% of all games will have the average number of runsscored.

There is a large variation in the runs scored in baseball games,but if you only look at games with a fixed attendance, thisvariation on average is reduced by 61%.

The equation of the linear regression line is:  
ˆyy^ =  + xx   (Please show your answersto two decimal places)

Use the model to predict the runs scored at a game that has anattendance of 25,000 people.
Runs scored =  (Please round your answer to the nearestwhole number.)

Interpret the slope of the regression line in the context of thequestion:

The slope has no practical meaning since the total number runsscored in a game must be positive.

For every additional thousand people who attend a game, theretends to be an average increase of 0.15 runs scored.

As x goes up, y goes up.

Interpret the y-intercept in the context of the question:

The y-intercept has no practical meaning for this study.

The average runs scored is predicted to be 1.

If the attendance of a baseball game is 0, then 1 runs will bescored.

The best prediction for a game with 0 attendance is that therewill be 1 runs scored.