Refer to the Baseball 2016 data, which reports information onthe 2016 Major League Baseball season. Let attendance be thedependent variable and total team salary be the independentvariable. Determine the regression equation and answer thefollowing questions.
Draw a scatter diagram. From the diagram, does there seem to bea direct relationship between the two variables?
What is the expected attendance for a team with a salary of$100.0 million?
If the owners pay an additional $30 million, how many morepeople could they expect to attend?
At the .05 significance level, can we conclude that the slope ofthe regression line is positive? Conduct the appropriate test ofhypothesis.
What percentage of the variation in attendance is accounted forby salary?
Determine the correlation between attendance and team battingaverage and between attendance and team ERA. Which is stronger?Conduct an appropriate test of hypothesis for each set ofvariables.
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Team | League | Year Opened | Team Salary | Attendance | Wins | ERA | BA | HR | | | Year | Average salary |
Arizona | National | 1998 | 65.80 | 2080145 | 79 | 4.04 | 0.264 | 154 | | | 2000 | 1988034 |
Atlanta | National | 1996 | 89.60 | 2001392 | 67 | 4.41 | 0.251 | 100 | | | 2001 | 2264403 |
Baltimore | American | 1992 | 118.90 | 2281202 | 81 | 4.05 | 0.250 | 217 | | | 2002 | 2383235 |
Boston | American | 1912 | 168.70 | 2880694 | 78 | 4.31 | 0.265 | 161 | | | 2003 | 2555476 |
Chicago Cubs | National | 1914 | 117.20 | 2959812 | 97 | 3.36 | 0.244 | 171 | | | 2004 | 2486609 |
Chicago Sox | American | 1991 | 110.70 | 1755810 | 76 | 3.98 | 0.250 | 136 | | | 2005 | 2632655 |
Cincinnati | National | 2003 | 117.70 | 2419506 | 64 | 4.33 | 0.248 | 167 | | | 2006 | 2866544 |
Cleveland | American | 1994 | 87.70 | 1388905 | 81 | 3.67 | 0.256 | 141 | | | 2007 | 2944556 |
Colorado | National | 1995 | 98.30 | 2506789 | 68 | 5.04 | 0.265 | 186 | | | 2008 | 3154845 |
Detroit | American | 2000 | 172.80 | 2726048 | 74 | 4.64 | 0.270 | 151 | | | 2009 | 3240206 |
Houston | American | 2000 | 69.10 | 2153585 | 86 | 3.57 | 0.250 | 230 | | | 2010 | 3297828 |
Kansas City | American | 1973 | 112.90 | 2708549 | 95 | 3.73 | 0.269 | 139 | | | 2011 | 3305393 |
LA Angels | American | 1966 | 146.40 | 3012765 | 85 | 3.94 | 0.246 | 176 | | | 2012 | 3440000 |
LA Dodgers | National | 1962 | 230.40 | 3764815 | 92 | 3.44 | 0.250 | 187 | | | 2013 | 3650000 |
Miami | National | 2012 | 84.60 | 1752235 | 71 | 4.02 | 0.260 | 120 | | | 2014 | 3950000 |
Milwaukee | National | 2001 | 98.70 | 2542558 | 68 | 4.28 | 0.251 | 145 | | | 2015 | 4250000 |
Minnesota | American | 2010 | 108.30 | 2220054 | 83 | 4.07 | 0.247 | 156 | | | | |
NY Mets | National | 2009 | 100.10 | 2569753 | 90 | 3.43 | 0.244 | 177 | | | | |
NY Yankees | American | 2009 | 213.50 | 3193795 | 87 | 4.05 | 0.251 | 212 | | | | |
Oakland | American | 1966 | 80.80 | 1768175 | 68 | 4.14 | 0.251 | 146 | | | | |
Philadelphia | National | 2004 | 133.00 | 1831080 | 63 | 4.69 | 0.249 | 130 | | | | |
Pittsburgh | National | 2001 | 85.90 | 2498596 | 98 | 3.21 | 0.260 | 140 | | | | |
San Diego | National | 2004 | 126.60 | 2459742 | 74 | 4.09 | 0.243 | 148 | | | | |
San Francisco | National | 2000 | 166.50 | 3375882 | 84 | 3.72 | 0.267 | 136 | | | | |
Seattle | American | 1999 | 123.20 | 2193581 | 76 | 4.16 | 0.249 | 198 | | | | |
St. Louis | National | 2006 | 120.30 | 3520889 | 100 | 2.94 | 0.253 | 137 | | | | |
Tampa Bay | American | 1990 | 74.80 | 1287054 | 80 | 3.74 | 0.252 | 167 | | | | |
Texas | American | 1994 | 144.80 | 2491875 | 88 | 4.24 | 0.257 | 172 | | | | |
Toronto | American | 1989 | 116.40 | 2794891 | 93 | 3.8 | 0.269 | 232 | | | | |
Washington | National | 2008 | 174.50 | 2619843 | 83 | 3.62 | 0.251 | 177 | | | | |