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.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.
1. The equation of the linear regression line is:
  ˆyy^ = + xx (Please show your answers to two decimal places)
2. 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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