Chapter 7, Problem 37E

(a)

To determine

To explain does the scatterplot indicate that it is appropriate to calculate a correlation or not.

Answer to Problem 37E

Yes.

Explanation of Solution

American league baseball games are being played and the data is collected from the game. The correlation between the runs and the number of people attended the game is calculated as $0.667$ . Also, the scatterplot of the runs scored and the home attendance is given in the question. The scatterplot indicate that it is appropriate to calculate a correlation coefficient because the scatterplot appears to be somewhat linear as the points in the scatterplot does not clearly specify the association between the two.

(b)

To determine

To describe the association between attendance and runs scored.

Explanation of Solution

American league baseball games are being played and the data is collected from the game. The correlation between the runs and the number of people attended the game is calculated as $0.667$ . Also, the scatterplot of the runs scored and the home attendance is given in the question. From the scatterplot in the question, we can say that as number of runs increases, the attendance of the people attending the baseball games also increases. Also the association between the runs scored and home attendance is positive and slightly strong.

(c)

To determine

To explain does this association proves that that owners are right that more fans will come to games if the teams score more runs or not.

Answer to Problem 37E

No.

Explanation of Solution

American league baseball games are being played and the data is collected from the game. The correlation between the runs and the number of people attended the game is calculated as $0.667$ . Also, the scatterplot of the runs scored and the home attendance is given in the question.

There is a positive association between the runs scored and the home attendance but it does not means that more fans will come if the number of runs increases. Thus the positive association does not indicate causality as the association is weak.