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 45 38 55 56 58 58 35 17 56 Runs 7 5 11 7 12 9 8 1 9 r2r2 = (Round to two decimal places) (Round to two decimal places) Interpret r2r2 : 73% of all games will have the average number of runs scored. There is a 73% 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, 73% of all of those games will have the predicted 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 73%. The equation of the linear regression line is: ˆy = + x (Please show your answers to two decimal places)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 | 45 | 38 | 55 | 56 | 58 | 58 | 35 | 17 | 56 |
---|---|---|---|---|---|---|---|---|---|
Runs | 7 | 5 | 11 | 7 | 12 | 9 | 8 | 1 | 9 |
- r2r2 = (Round to two decimal places) (Round to two decimal places)
- Interpret r2r2 :
- 73% of all games will have the average number of runs scored.
- There is a 73% 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, 73% of all of those games will have the predicted 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 73%.
- The equation of the linear regression line is:
ˆy = + x (Please show your answers to two decimal places)
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