r2r2 =  (Round to two decimal places)  (Round to two decimal places)  Interpret r2r2 :   Given any fixed attendance, 68% of all of those games will have the predicted number of runs scored. 68% of all games will have the average number of runs scored. There is a large variation in the runs scored in baseball games, but if you only look at games with a fixed attendance, this variation on average is reduced by 68%. There is a 68% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game. The equation of the linear regression line is:    ˆyy^ =  + xx   (Please show your answers to two decimal places)

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What is the relationship between the attendance at a major league ball game and the total number of runs scored? Attendance figures (in thousands) and the runs scored for 9 randomly selected games are shown below.

 

Attendance 24 54 59 17 32 58 30 26 18
Runs 5 14 14 5 7 8 10 6 4

 

  1.  r2r2 =  (Round to two decimal places)  (Round to two decimal places)
  2.  Interpret r2r2 :  
    • Given any fixed attendance, 68% of all of those games will have the predicted number of runs scored.
    • 68% of all games will have the average number of runs scored.
    • There is a large variation in the runs scored in baseball games, but if you only look at games with a fixed attendance, this variation on average is reduced by 68%.
    • There is a 68% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game.
  3. The equation of the linear regression line is:   
    ˆyy^ =  + xx   (Please show your answers to two decimal places)  
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