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1 Approved Answer

Posted on Jul 16, 2024

4 A B B D E F G H I 1 2 2 ERA BA HR 3 154 100 217 161 4 5 6 7

4 A B B D E F G H I 1 2 2 ERA BA HR 3 154 100 217 161 4 5 6 7 8 9 10 11 6 7 B 171 136 167 141 4.04 4.41 4.05 4.31 3.36 3.98 4.33 3.67 5.04 4.64 3.57 3.73 3.94 3.44 4.02 4.28 186 12 13 14 151 230 139 15 176 187 Team League Opened Team Salary Attendance Wins Arizona National 1998 65.80 2080145 79 Atlanta National 1996 89.60 2001392 67 Baltimore American 1992 118.90 2281202 81 Boston American 1912 168.70 2880694 78 Chicago Cubs National 1914 117.20 2959812 97 Chicago White Sox American 1991 110.70 1755810 76 Cincinnati National 2003 117.70 2419506 64 Cleveland American 1994 87.70 1388905 81 Colorado National 1995 98.30 2506789 68 Detroit American 2000 172.80 2726048 74 Houston American 2000 69.10 2153585 86 Kansas City American 1973 112.90 2708549 95 LA Angels American 1966 146,40 3012765 85 LA Dodgers National 1962 230.40 3764815 92 Miami National 2012 84.60 1752235 71 Milwaukee National 2001 98.70 2542558 68 Minnesota American 2010 108.30 2220054 83 NY Mets National 2009 100.10 2569753 90 NY Yankees American 2009 213.50 3193795 87 Oakland American 1966 80.80 1768175 68 Philadelphia National 2004 133.00 1831080 63 Pittsburgh National 2001 85.90 2498596 98 San Diego National 2004 126.60 2459742 74 San Francisco National 2000 166.50 3375882 84 Seattle American 1999 123.20 2193581 St. Louis National 2006 120.30 3520889 100 Tampa Bay American 1990 74.80 1287054 80 Texas American 1994 144.80 2491875 88 Toronto American 1989 116.40 2794891 93 Washington National 2008 174.50 2619843 83 16 17 18 19 20 21 22 23 24 25 26 27 0.264 0.251 0.25 0.265 0.244 0.25 0.248 0.256 0.265 0.27 0.25 0.269 0.246 0.25 0.26 0.251 0.247 0.244 0.251 0.251 0.249 0.26 0.243 0.267 0.249 0.253 0.252 0.257 0.269 0.251 4.07 120 145 156 177 212 146 130 3.43 4.05 4.14 4.69 3.21 4.09 3.72 4.16 2.94 3.74 2.24 3.8 3.62 76 28 140 148 136 198 137 167 172 232 177 29 30 31 32 Year 2000 Average Salary) 1988034 2001 2002 2264403 2383235 2555476 2003 2004 2486609 2632655 2005 2006 2866544 2944556 2007 2008 3154845 3240206 2009 2010 3297828 2011 3305393 3440000 2012 2013 2014 2015 3650000 3950000 4250000 4463000 2016 2012 Season Key Team = Team's name League = American or National League Year Opened = First year the team's stadium was used Team Salary = Total team salary expressed in millions of dollars Attendance = Total number of people attending regular season games Wins = Number of regular season games won ERA = Team earned run average BA=Team batting average HR = Team home runs Year = Year of operation Average salary = Average annual player salary in dollars Refer to the Baseball 2016 data, which reports information on the 30 Major League Baseball teams for the 2016 season. Consider the following variables: number of wins, payroll, season attendance, whether the team is in the American or National League, and the number of home runs hit. a) Which of these variables are quantitative and which are qualitative? b) Determine the level of measurement for each of the variables. Refer to the variable team salary. Create a frequency distribution for the Team Salary variable and answer the following questions. c) What is the typical salary for a team? What is the range of the salaries? d) Comment on the shape of the distribution. Does it appear that any of the teams have a salary that is out of line with the others? e) Draw a cumulative relative frequency distribution of team salary. Using this distribution, 40% of the teams have a salary of less than what amount? About how many teams have a total salary of more than $205 million? 1) Prepare a report on the team salaries. Be sure to answer the following questions in your report. i) Around what values do the data tend to cluster? Specifically, what is the mean team salary? What is the median team salary? Is one measure more representative of the typical team salary than the others? ii) What is the range of the team salaries? What is the standard deviation? About 95% of the salaries are between what two values? g) Refer to the information on the average salary for each year. In 2000 the average player salary was $1.99 million. By 2016 the average player salary had increased to $4.5 million. What was the rate of increase over the period? h) In the data set, the year opened, is the first year of operation for that stadium. For each team, use this variable to create a new variable, stadium age, by subtracting the value of the variable, year opened, from the current year. Develop a box plot with the new variable, age. Are there any outliers? If so, which of the stadiums are outliers? i) Using the variable, salary, create a box plot. Are there any outliers? Compute the quartiles using formula (4-1). Write a brief summary of your analysis. j) Using the variable, wins, draw a dot plot. What can you conclude from this plot? 4 A B B D E F G H I 1 2 2 ERA BA HR 3 154 100 217 161 4 5 6 7 8 9 10 11 6 7 B 171 136 167 141 4.04 4.41 4.05 4.31 3.36 3.98 4.33 3.67 5.04 4.64 3.57 3.73 3.94 3.44 4.02 4.28 186 12 13 14 151 230 139 15 176 187 Team League Opened Team Salary Attendance Wins Arizona National 1998 65.80 2080145 79 Atlanta National 1996 89.60 2001392 67 Baltimore American 1992 118.90 2281202 81 Boston American 1912 168.70 2880694 78 Chicago Cubs National 1914 117.20 2959812 97 Chicago White Sox American 1991 110.70 1755810 76 Cincinnati National 2003 117.70 2419506 64 Cleveland American 1994 87.70 1388905 81 Colorado National 1995 98.30 2506789 68 Detroit American 2000 172.80 2726048 74 Houston American 2000 69.10 2153585 86 Kansas City American 1973 112.90 2708549 95 LA Angels American 1966 146,40 3012765 85 LA Dodgers National 1962 230.40 3764815 92 Miami National 2012 84.60 1752235 71 Milwaukee National 2001 98.70 2542558 68 Minnesota American 2010 108.30 2220054 83 NY Mets National 2009 100.10 2569753 90 NY Yankees American 2009 213.50 3193795 87 Oakland American 1966 80.80 1768175 68 Philadelphia National 2004 133.00 1831080 63 Pittsburgh National 2001 85.90 2498596 98 San Diego National 2004 126.60 2459742 74 San Francisco National 2000 166.50 3375882 84 Seattle American 1999 123.20 2193581 St. Louis National 2006 120.30 3520889 100 Tampa Bay American 1990 74.80 1287054 80 Texas American 1994 144.80 2491875 88 Toronto American 1989 116.40 2794891 93 Washington National 2008 174.50 2619843 83 16 17 18 19 20 21 22 23 24 25 26 27 0.264 0.251 0.25 0.265 0.244 0.25 0.248 0.256 0.265 0.27 0.25 0.269 0.246 0.25 0.26 0.251 0.247 0.244 0.251 0.251 0.249 0.26 0.243 0.267 0.249 0.253 0.252 0.257 0.269 0.251 4.07 120 145 156 177 212 146 130 3.43 4.05 4.14 4.69 3.21 4.09 3.72 4.16 2.94 3.74 2.24 3.8 3.62 76 28 140 148 136 198 137 167 172 232 177 29 30 31 32 Year 2000 Average Salary) 1988034 2001 2002 2264403 2383235 2555476 2003 2004 2486609 2632655 2005 2006 2866544 2944556 2007 2008 3154845 3240206 2009 2010 3297828 2011 3305393 3440000 2012 2013 2014 2015 3650000 3950000 4250000 4463000 2016 2012 Season Key Team = Team's name League = American or National League Year Opened = First year the team's stadium was used Team Salary = Total team salary expressed in millions of dollars Attendance = Total number of people attending regular season games Wins = Number of regular season games won ERA = Team earned run average BA=Team batting average HR = Team home runs Year = Year of operation Average salary = Average annual player salary in dollars Refer to the Baseball 2016 data, which reports information on the 30 Major League Baseball teams for the 2016 season. Consider the following variables: number of wins, payroll, season attendance, whether the team is in the American or National League, and the number of home runs hit. a) Which of these variables are quantitative and which are qualitative? b) Determine the level of measurement for each of the variables. Refer to the variable team salary. Create a frequency distribution for the Team Salary variable and answer the following questions. c) What is the typical salary for a team? What is the range of the salaries? d) Comment on the shape of the distribution. Does it appear that any of the teams have a salary that is out of line with the others? e) Draw a cumulative relative frequency distribution of team salary. Using this distribution, 40% of the teams have a salary of less than what amount? About how many teams have a total salary of more than $205 million? 1) Prepare a report on the team salaries. Be sure to answer the following questions in your report. i) Around what values do the data tend to cluster? Specifically, what is the mean team salary? What is the median team salary? Is one measure more representative of the typical team salary than the others? ii) What is the range of the team salaries? What is the standard deviation? About 95% of the salaries are between what two values? g) Refer to the information on the average salary for each year. In 2000 the average player salary was $1.99 million. By 2016 the average player salary had increased to $4.5 million. What was the rate of increase over the period? h) In the data set, the year opened, is the first year of operation for that stadium. For each team, use this variable to create a new variable, stadium age, by subtracting the value of the variable, year opened, from the current year. Develop a box plot with the new variable, age. Are there any outliers? If so, which of the stadiums are outliers? i) Using the variable, salary, create a box plot. Are there any outliers? Compute the quartiles using formula (4-1). Write a brief summary of your analysis. j) Using the variable, wins, draw a dot plot. What can you conclude from this plot