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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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