Ron Larson
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Chapter 10 Review Exercises

Chapter 10 Review Exercises
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  • 15. Relationship Between Win Percentages in Major League Baseball

    The scatter plot compares the win percentage on June 1 (about 50 games) to the final win percentage on October 3 (162 games) of every Major League Baseball team for the 2010 season. What can you conclude from the scatter plot?

    • Worked-Out Solution

      From the graph, you can see that there is a positive correlation between win percentage on June 1 and final win percentage.

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      _____      ___      _  _    _    _     _  _   
 /  ___||   / _ \\   | \| || | || | ||  | \| || 
| // __    | / \ ||  |  ' || | || | ||  |  ' || 
| \\_\ ||  | \_/ ||  | .  || | \\_/ ||  | .  || 
 \____//    \___//   |_|\_||  \____//   |_|\_|| 
  `---`     `---`    `-` -`    `---`    `-` -`
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  • 16. Inconsistent Data Points

    The scatter plot compares the win percentage on June 1 (about 50 games) to the final win percentage on October 3 (162 games) of every Major League Baseball team for the 2010 season. Identify 2 data points that do not agree with your conclusion in Exercise 15.

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      _  _     ______   __   _    _    _     _____   
 | \| ||  /_   _// | || | || | || | ||  |__  //  
 |  ' ||   -| ||-  | '--' || | || | ||    / //   
 | .  ||   _| ||_  | .--. || | \\_/ ||   / //__  
 |_|\_||  /_____// |_|| |_||  \____//   /_____|| 
 `-` -`   `-----`  `-`  `-`    `---`    `-----`
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  • 17. Predicating a Final Win Percentage for a Baseball Team

    The scatter plot compares the win percentage on June 1 (about 50 games) to the final win percentage on October 3 (162 games) of every Major League Baseball team for the 2010 season. A team has a 0.600 win percentage on June 1. Predict the team's final win percentage.

    • Worked-Out Solution

      From the graph, you can predict that a team with a win percentage of 0.600 on June 1 will have a final win percentage between 0.550 and 0.600.

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       _____     ___               __   __  __    __  
  / ___//   / _ \\    ____     \ \\/ // \ \\ / // 
  \___ \\  / //\ \\  |    \\    \ ` //   \ \/ //  
  /    // |  ___  || | [] ||     | ||     \  //   
 /____//  |_||  |_|| |  __//     |_||      \//    
`-----`   `-`   `-`  |_|`-`      `-`'       `     
                     `-`
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  • 18. MLB Regular Season

    The scatter plot compares the win percentage on June 1 (about 50 games) to the final win percentage on October 3 (162 games) of every Major League Baseball team for the 2010 season. There is an old cliché that the regular season in baseball is a marathon, not a sprint. Does the scatter plot support this cliché? Explain your reasoning.

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      _  _      ___     __   _     _____    _    _   
 | \| ||   / _ \\  | || | ||  |  ___|| | || | || 
 |  ' ||  | / \ || | '--' ||  | ||__   | || | || 
 | .  ||  | \_/ || | .--. ||  | ||__   | \\_/ || 
 |_|\_||   \___//  |_|| |_||  |_____||  \____//  
 `-` -`    `---`   `-`  `-`   `-----`    `---`
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  • 19. Major League Baseball Playoffs

    The scatter plot compares the win percentage on June 1 (about 50 games) to the final win percentage on October 3 (162 games) of every Major League Baseball team for the 2010 season. Of the 8 teams that made the playoffs in 2010, the least win total was 90. Is it possible that a team with a win percentage less than 0.500 on June 1 made the playoffs? Explain your reasoning.

    • Worked-Out Solution

      From the graph, you can see that all of the teams with win percentages less than 0.500 on June 1 had final win percentages less than 0.550.

      In 162 games, none of the teams with win percentages less than 0.500 on June 1 could have had a win percentage greater than 0.550. A team with a win percentage of 0.550 would have won

      None of the teams with win percentages less than 0.500 on June 1 could have won more than 89.1 games. Because 89.1 is less than 90, it is not possible that a team with a win percentage less than 0.500 on June 1 made the playoffs.

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     __   __   _    _    _____      ______            
 \ \\/ // | || | || |  __ \\   /_   _//   ____    
  \   //  | || | || | |  \ ||   -| ||-   |    \\  
  / . \\  | \\_/ || | |__/ ||   _| ||_   | [] ||  
 /_//\_\\  \____//  |_____//   /_____//  |  __//  
 `-`  --`   `---`    -----`    `-----`   |_|`-`   
                                         `-`
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  • 20. Analyzing a Quote

    The scatter plot compares the win percentage on June 1 (about 50 games) to the final win percentage on October 3 (162 games) of every Major League Baseball team for the 2010 season. Does the scatter plot support the following quote?

    "Since 1996, only 9% of teams with a losing record on June 1 finished the season with 90 wins. "

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     __   _      ___     __   __   __   __    ______  
| || | ||   / _ \\   \ \\/ //  \ \\/ //  /_____// 
| '--' ||  / //\ \\   \   //    \ ` //   `____ `  
| .--. || |  ___  ||  / . \\     | ||    /___//   
|_|| |_|| |_||  |_|| /_//\_\\    |_||    `__ `    
`-`  `-`  `-`   `-`  `-`  --`    `-`'    /_//     
                                         `-`
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