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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``` ______    _    _     ____       ___
|      \\ | || | ||  |  _ \\    / _ \\    ____
|  --  // | || | ||  | |_| ||  / //\ \\  |    \\
|  --  \\ | \\_/ ||  | .  //  |  ___  || | [] ||
|______//  \____//   |_|\_\\  |_||  |_|| |  __//
`------`    `---`    `-` --`  `-`   `-`  |_|`-`
`-`
```
• 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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``` ______     ______    _____     _____    _    _
|      \\  /_   _//  |__  //   |  ___|| | || | ||
|  --  //   -| ||-     / //    | ||__   | || | ||
|  --  \\   _| ||_    / //__   | ||__   | \\_/ ||
|______//  /_____//  /_____||  |_____||  \____//
`------`   `-----`   `-----`   `-----`    `---`

```
• 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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```__    __     ___                 ___      _____
\ \\ / //   / _ \\    ____      / _ \\   |__  //
\ \/ //   | / \ ||  |    \\   | / \ ||    / //
\  //    | \_/ ||  | [] ||   | \_/ ||   / //__
\//      \___//   |  __//    \___//   /_____||
`       `---`    |_|`-`     `---`    `-----`
`-`
```
• 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 clichÃ© that the regular season in baseball is a marathon, not a sprint. Does the scatter plot support this clichÃ©? Explain your reasoning.

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