Question

The relationship between the number of games won by a minor league baseball team and the average attendance at their home games is analyzed. A regression to predict the average attendance from the number of games won has an r = 0.73. Interpret this statistic.

Answer 1

Answer: There is a strong positive correlation between  number of games won by a minor league baseball team and the average attendance at their home games is analyzed.

Step-by-step explanation:

The Pearson's coefficient 'r' gives the correlation between the predicted values and the observed values .

• It tells the direction and the strength of the relation.

• When r is negative it means there is a negative relationship between the variables .
• When r is positive it means there is a positive relationship between the variables .
• When |r|=1 , strong correlation ,
• When r=0 , there is no correlation.
• If 0.70<|r|<1 , there is a strong correlation.
• If 0.50<|r|<0.70 , there is a moderate correlation.
• If 0.30<|r|<0.50 , there is a low correlation.

Given :  A regression to predict the average attendance from the number of games won has an r = 0.73.

Since r=0.73 is positive and 0.70 <0.73 <1 , it means there is a strong positive correlation between number of games won by a minor league baseball team and the average attendance at their home games is analyzed.