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 34 39 33 14 59 50 45 17 19 32 Runs 7 10 3 6 13 11 8 2 2 4 r2r2 = (Round to two decimal places) (Round to two decimal places) Interpret r2r2 : 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 70%. There is a 70% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game. Given any fixed attendance, 70% of all of those games will have the predicted number of runs scored. 70% of all games will have the average number of runs scored. The equation of the linear regression line is: ˆyy^ = + xx (Please show your answers to two decimal places) Use the model to predict the runs scored at a game that has an attendance of 40,000 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: As x goes up, y goes up. For every additional thousand people who attend a game, there tends to be an average increase of 0.22 runs scored. The slope has no practical meaning since the total number runs scored in a game must be positive. Interpret the y-intercept in the context of the question: The average runs scored is predicted to be -1. The y-intercept has no practical meaning for this study. The best prediction for a game with 0 attendance is that there will be -1 runs scored. If the attendance of a baseball game is 0, then -1 runs will be scored.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 10CT

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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	34	39	33	14	59	50	45	17	19	32
Runs	7	10	3	6	13	11	8	2	2	4

r2r2 = (Round to two decimal places) (Round to two decimal places)
Interpret r2r2 :
- 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 70%.
- There is a 70% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game.
- Given any fixed attendance, 70% of all of those games will have the predicted number of runs scored.
- 70% of all games will have the average number of runs scored.
The equation of the linear regression line is:
ˆyy^ = + xx (Please show your answers to two decimal places)
Use the model to predict the runs scored at a game that has an attendance of 40,000 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:
- As x goes up, y goes up.
- For every additional thousand people who attend a game, there tends to be an average increase of 0.22 runs scored.
- The slope has no practical meaning since the total number runs scored in a game must be positive.
Interpret the y-intercept in the context of the question:
- The average runs scored is predicted to be -1.
- The y-intercept has no practical meaning for this study.
- The best prediction for a game with 0 attendance is that there will be -1 runs scored.
- If the attendance of a baseball game is 0, then -1 runs will be scored.