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 12 randomly selected games are shown below.   Attendance 55 11 36 57 23 11 24 49 11 37 48 49 Runs 7 -0 9 9 5 5 6 7 2 5 6 10 Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that a game with higher attendance will have fewer runs scored than a game with lower attendance. There is statistically significant evidence to conclude that a game with a higher attendance will have more runs scored than a game with lower attendance. There is statistically significant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the regression line is useful.    r2r2 =  ______(Round to two decimal places)  (Round to two decimal places)  Interpret r2r2 :   60% 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 60%. Given any fixed attendance, 60% of all of those games will have the predicted number of runs scored. There is a 60% chance that the regression line will be a good predictor for the runs scored based on the attendance of the

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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 12 randomly selected games are shown below.

 

Attendance 55 11 36 57 23 11 24 49 11 37 48 49
Runs 7 -0 9 9 5 5 6 7 2 5 6 10

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

  • There is statistically insignificant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the use of the regression line is not appropriate.
  • There is statistically significant evidence to conclude that a game with higher attendance will have fewer runs scored than a game with lower attendance.
  • There is statistically significant evidence to conclude that a game with a higher attendance will have more runs scored than a game with lower attendance.
  • There is statistically significant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the regression line is useful.

 

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

 Interpret r2r2 :  

  • 60% 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 60%.
  • Given any fixed attendance, 60% of all of those games will have the predicted number of runs scored.
  • There is a 60% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game.

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