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 Use the model to predict the runs scored at a game that has an attendance of 34,000 people. Runs scored = (Please round your answer to the nearest whole number.) Interpret the slope of the regression line in the context of the question: The slope has no practical meaning since the total number runs scored in a game must be positive. As x goes up, y goes up. For every additional thousand people who attend a game, there tends to be an average increase of 0.18 runs scored. Interpret the y-intercept in the context of the question: If the attendance of a baseball game is 0, then 2 runs will be scored. The average runs scored is predicted to be 2. The y-intercept has no practical meaning for this study. The best prediction for a game with 0 attendance is that there will be 2 runs scored.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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 |
- Use the model to predict the runs scored at a game that has an attendance of 34,000 people.
Runs scored = (Please round your answer to the nearest whole number.) - Interpret the slope of the regression line in the context of the question:
- The slope has no practical meaning since the total number runs scored in a game must be positive.
- As x goes up, y goes up.
- For every additional thousand people who attend a game, there tends to be an average increase of 0.18 runs scored.
- Interpret the y-intercept in the context of the question:
- If the attendance of a baseball game is 0, then 2 runs will be scored.
- The average runs scored is predicted to be 2.
- The y-intercept has no practical meaning for this study.
- The best prediction for a game with 0 attendance is that there will be 2 runs scored.
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