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 10 randomly selected games are shown below.   Attendance 45 14 39 59 40 52 54 14 26 58 Runs 7 2 6 14 7 10 14 6 9 13 The p-value is:    (Round to four decimal places 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 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. 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. 2.Interpret the slope of the regression line in the context of the question:   As x goes up, y goes up. The slope has no practical meaning since the total number runs scored in a game must be positive. For every additional thousand people who attend a game, there tends to be an average increase of 0.19 runs scored. 3. Interpret the y-intercept in the context of the question: The best prediction for a game with 0 attendance is that there will be 1 runs scored. The average runs scored is predicted to be 1. If the attendance of a baseball game is 0, then 1 runs will be scored. The y-intercept has no practical meaning for this study.

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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 10 randomly selected games are shown below.

 

Attendance 45 14 39 59 40 52 54 14 26 58
Runs 7 2 6 14 7 10 14 6 9 13

The p-value is:    (Round to four decimal places

  1. 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 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.
    • 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.

    2.Interpret the slope of the regression line in the context of the question:  

    • As x goes up, y goes up.
    • The slope has no practical meaning since the total number runs scored in a game must be positive.
    • For every additional thousand people who attend a game, there tends to be an average increase of 0.19 runs scored.

      3.
    • Interpret the y-intercept in the context of the question:
      • The best prediction for a game with 0 attendance is that there will be 1 runs scored.
      • The average runs scored is predicted to be 1.
      • If the attendance of a baseball game is 0, then 1 runs will be scored.
      • The y-intercept has no practical meaning for this study.
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