Baseball owners believe that the more runs scored, the higher the attendance. Is

Question

Baseball owners believe that the more runs scored, the higher the attendance. Is there evidence that more fans attend games if the teams score more runs? Data collected midway through the season indicate a correlation of 0.805 between runs scored and the number of people at games. a) Does the scatterplot indicate that it's appropriate to calculate a correlation? Explain. A. Yes, because the association between the number of runs scored and attendance is positive. B. No, because there are too many outliers for a numerical correlation to be appropriate. C. No, because the number of runs scored and attendance are not quantitative variables. D. Yes, because the relationship between number of runs scored and attendance appears to be straight. b) Describe the association between attendance and runs scored. A. The association between attendance and runs scored is positive, straight, and moderate. B. The association between attendance and runs scored is negative, straight, and moderate. C. The association between attendance and runs scored is negative, straight, and strong. D. The association between attendance and runs scored is positive, straight, and weak. c) Does this prove that the owners are right, that more fans will come to games if the teams score more runs? A. Yes, there is evidence of an association between attendance and runs scored. B. No, there is no basis to make a claim of causation. C. No, there is no evidence of an association between attendance and runs scored. D. Yes, there is basis to make a claim of causation.

Explanation / Answer

The scatterplot represents a linear relationship between the 2 variables.

a. Answer: D.

Reason: Correlation measures the extent of linear relationship between 2 variables. Hence, a straight relationship justifies the measurement of correlation.

b. Answer: A.

Reason: The relationship is straight, upward sloping and hence, positive, and moderate in terms of the linearity.

c. Answer. B.

Reason: Correlation does not imply a causal relationship between the 2 variables.

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