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 8 randomly selected games are shown below. Attendance 24 44 35 60 56 42 27 31 Runs 5 9 6 12 16 13 8 12 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are: H0:H0: ? μ ρ r == 0 H1:H1: ? ρ r μ ≠≠ 0 The p-value is: (Round to four decimal places) r2r2 = (Round to two decimal places) (Round to two decimal places) Interpret r2r2 : There is a 51% 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, 51% 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 51%. 51% 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 26,000 people. Runs scored = (Please round your answer to the nearest whole number.)
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 8 randomly selected games are shown below. Attendance 24 44 35 60 56 42 27 31 Runs 5 9 6 12 16 13 8 12 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are: H0:H0: ? μ ρ r == 0 H1:H1: ? ρ r μ ≠≠ 0 The p-value is: (Round to four decimal places) r2r2 = (Round to two decimal places) (Round to two decimal places) Interpret r2r2 : There is a 51% 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, 51% 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 51%. 51% 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 26,000 people. Runs scored = (Please round your answer to the nearest whole number.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2BGP
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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 8 randomly selected games are shown below.
| Attendance | 24 | 44 | 35 | 60 | 56 | 42 | 27 | 31 |
|---|---|---|---|---|---|---|---|---|
| Runs | 5 | 9 | 6 | 12 | 16 | 13 | 8 | 12 |
- Find the
correlation coefficient : r=r= Round to 2 decimal places. - The null and alternative hypotheses for correlation are:
H0:H0: ? μ ρ r == 0
H1:H1: ? ρ r μ ≠≠ 0
The p-value is: (Round to four decimal places)
- r2r2 = (Round to two decimal places) (Round to two decimal places)
- Interpret r2r2 :
- There is a 51% 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, 51% 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 51%.
- 51% 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 26,000 people.
Runs scored = (Please round your answer to the nearest whole number.)
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