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A WebQuest for 12th Grade statistics

Designed by

Ryan Ingramringram@simla.colostate.edu

Based on a template from The WebQuest Page

Correlating statistics in Baseball

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In Major-League baseball, statistics are a big part of the game. The most important stat is winning percentage. The four teams in each league with the highest winning percentage. You will play the role of an advisor for the Kansas City Royals, the worst team in major league baseball. The franchise was just sold and the owner is willing to spend big money. He wants you and your team of advisors to do some analysis. Your owner is interested in the correlation between winning percentage and home runs, runs batted in(RBI), fielding percentage, stolen bases and earned run average(ERA). He will use the information you find to decide which free agents he will sign. The fate of the Royals is resting in your hands.

Introduction

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In this assignment, you will use the internet to find the team statistics for the other teams in the same league. You will then use correlation to find which two statistical categories play the biggest role in a team’s winning percentage.  Once you have done this, pick two players you believe would improve these statistics for each team. Then use linear regression to predict what the new winning percentage will be with these two players on the team.

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The Task

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• Determine which team you work for• For the other teams in the league, look up their team statistics in: winning percentage, home runs, RBI, fielding percentage, stolen bases, and ERA.• Using a calculator to find the correlation of each of these statistics with winning percentage.  After you have done this, find the regression equation. Remember that winning percentage is the dependent variable, and the other variable is the independent variable. • Use this information to decide which two statistical categories have the largest impact on winning percentage.• Use internet resources to determine which player led the league (your choice-National or American) in this statistic. • Use your regression equation to determine what the new winning percentage will be with these two new players on the team. Remember to add their production to the team’s statistics and subtract the stats from the previous starter at that position.• Write a written report for your owner, explaining your data, how you found the data, and what recommendations you’ve made for the team. Remember that your specific players do not have to be the best player in the statistical category. Your recommendations require an explanation.

The Process

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Multimedia Project : WebQuest

Teacher Name: Mr. Ingram

Student Name: ________________________________________

CATEGORY 4 3 2 1Mechanics No misspellings or grammatical

errors.Three or fewer misspellings and/or mechanical errors.

Four misspellings and/or grammatical errors.

More than 4 errors in spelling or grammar.

Organization Content is well organized using headings or bulleted lists to group related material.

Uses headings or bulleted lists to organize, but the overall organization of topics appears flawed.

Content is logically organized for the most part.

There was no clear or logical organizational structure, just lots of facts.

Workload The workload is divided and shared equally by all team members.

The workload is divided and shared fairly by all team members, though workloads may vary from person to person.

The workload was divided, but one person in the group is viewed as not doing his/her fair share of the work.

The workload was not divided OR several people in the group are viewed as not doing their fair share of the work.

Data Data is presented in a neat, concise manner. All correlations and regression lines are shown.

Data is present, but is hard to find. All correlations and regression lines are shown.

Some data is missing or wrong. Correlations or regression lines are missing.

Project wasn't completed

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In this assignment, you will be using correlation to connect winning percentage with other statistical categories. You are expected to use the data you find to create a written report summarizing your findings.

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• MLB Baseball Statistics and League Leaders: http://sports.espn.go.com/mlb/statistics• 2007 Baseball Stats: http://www.usatoday.com/sports/baseball/statistics.htm

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A WebQuest for 12th Grade statistics

Designed by

Ryan Ingramringram@simla.colostate.edu

Based on a template from The WebQuest Page

Evaluation

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Conclusion

Correlating Statistics in Baseball

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Introduction (Teacher)In Major-League baseball, statistics are a big part of the game. The most important stat is winning percentage. The four teams in each league with the highest winning percentage. You will play the role of an advisor for the Kansas City Royals, the worst team in major league baseball. The franchise was just sold and the owner is willing to spend big money. He wants you and your team of advisors to do some analysis. Your owner is interested in the correlation between winning percentage and home runs, runs batted in(RBI), fielding percentage, stolen bases and earned run average(ERA). He will use the information you find to decide which free agents he will sign. The fate of the Royals is resting in your hands.

This project has always interested me. As an avid baseball fan, I can’t wait to see the results of this assignment. As part of the project, I am going to have students make educated guesses on what they expect before the project begins. Due to the large amount of work in this assignment, it would work best if done in groups.

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This lesson is designed for 12th grade statistics students, and is designed as an end-of-unit project. This project requires an in-depth understanding of what correlation is and it also requires that the student understand how to use regression equations.

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Curriculum Standards (Teacher)•Standard 2: Students use algebraic methods to explore, model, and describe patterns and functions involving numbers, shapes, data, and graphs in problem-solving situations and communicate the reasoning used in solving these problems.•Standard 3: Students use data collection and analysis, statistics, and probability in problem-solving situations and communicate the reasoning used in solving these problems.•Standard 5: Students use a variety of tools and techniques to measure, apply the results in problem-solvingsituations, and communicate the reasoning used in solving these problems.

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The Process (Teacher)• Determine which team you work for• For the other teams in the league, look up their team statistics in: winning percentage, home runs, RBI, fielding percentage, stolen bases, and ERA.• Using a calculator to find the correlation of each of these statistics with winning percentage.  After you have done this, find the regression equation. Remember that winning percentage is the dependent variable, and the other variable is the independent variable. • Use this information to decide which two statistical categories have the largest impact on winning percentage.• Use internet resources to determine which player led the league (your choice-National or American) in this statistic. • Use your regression equation to determine what the new winning percentage will be with these two new players on the team. Remember to add their production to the team’s statistics and subtract the stats from the previous starter at that position.• Write a written report for your owner, explaining your data, how you found the data, and what recommendations you’ve made for the team. Remember that your specific players do not have to be the best player in the statistical category. Your recommendations require an explanation.

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• Graphing Calculators• Microsoft Excel or some other statistical software• Internet Access• Basic knowledge of baseball

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Multimedia Project : WebQuest

Teacher Name: Mr. Ingram

Student Name: ________________________________________

CATEGORY 4 3 2 1Mechanics No misspellings or grammatical

errors.Three or fewer misspellings and/or mechanical errors.

Four misspellings and/or grammatical errors.

More than 4 errors in spelling or grammar.

Organization Content is well organized using headings or bulleted lists to group related material.

Uses headings or bulleted lists to organize, but the overall organization of topics appears flawed.

Content is logically organized for the most part.

There was no clear or logical organizational structure, just lots of facts.

Workload The workload is divided and shared equally by all team members.

The workload is divided and shared fairly by all team members, though workloads may vary from person to person.

The workload was divided, but one person in the group is viewed as not doing his/her fair share of the work.

The workload was not divided OR several people in the group are viewed as not doing their fair share of the work.

Data Data is presented in a neat, concise manner. All correlations and regression lines are shown.

Data is present, but is hard to find. All correlations and regression lines are shown.

Some data is missing or wrong. Correlations or regression lines are missing.

Project wasn't completed

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• Have students record data they find in each statistical category from either website listed on the PowerPoint. Once this is done, the student will not need the internet for a little bit.• The next few steps will take place on a calculator. The first of these is: enter the data into a table.• Determine the correlation coefficients for each team and each set of data.• Find the linear regression equation for each variable.• Determine which two variables have the greatest effect on winning percentage.• Search the internet to find two players to improve the chosen statistical categories.• Once this is done, calculate new statistics. • Use linear regression equation to determine the new winning percentage.

Note: It is not necessary to use a graphing calculator. Microsoft Excel has all the tools to complete this lab.

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This lesson covers all the topics of most first-semester units in statistics. The project is fun and exciting, and requires students to connect real-life events to mathematics. This project can be easily differentiated, with a little bit of thought, this lesson could be applied to other sports as well. Doing this would make it interesting for almost any student.

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List here the sources of any images, music or text that you're using. Provide links back to the original source. Say thanks to anyone who provided resources or help.

List any books and other analog media that you used as information sources as well.

Include a link back to The WebQuest Page and The WebQuest Slideshare Group so that others can acquire the latest version of this template and training materials.

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