Is the number of games won by a softball team in a season related to the team batting average? The table below shows the batting average (in thousandths) and the number of games won of 8 teams. Team Batting Average Games Won 0 1 2 3 4 LO 5 6 7 313 297 a. The correlation coefficient is r = 316 303 281 259 273 318 41 b. The equation of the least squares line is y - 36 48 31 46 45 Using games won as the explanatory variable x, do the following: 39 43
Is the number of games won by a softball team in a season related to the team batting average? The table below shows the batting average (in thousandths) and the number of games won of 8 teams. Team Batting Average Games Won 0 1 2 3 4 LO 5 6 7 313 297 a. The correlation coefficient is r = 316 303 281 259 273 318 41 b. The equation of the least squares line is y - 36 48 31 46 45 Using games won as the explanatory variable x, do the following: 39 43
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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Transcribed Image Text:**Investigating the Relationship Between Batting Average and Games Won in Softball Teams**
Is the number of games won by a softball team in a season related to the team batting average? The table below displays the batting average (in thousandths) and the number of games won for 8 different teams.
| Team | Batting Average | Games Won |
|------|-----------------|-----------|
| 0 | 313 | 41 |
| 1 | 297 | 36 |
| 2 | 316 | 48 |
| 3 | 303 | 31 |
| 4 | 281 | 46 |
| 5 | 259 | 45 |
| 6 | 273 | 39 |
| 7 | 318 | 43 |
**Analysis Tasks:**
Using games won as the explanatory variable \( x \), perform the following analyses:
a. Find the correlation coefficient \( r \).
b. Determine the equation of the least squares line \( \hat{y} \).
The data aims to explore any potential correlation and linear relationship between a team's batting average and the number of games they win, offering insights into factors that might influence team success.
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