For major league baseball teams, is there a relationship between player payrolls and gate money? Here are data for each of the American League teams for the year 2002. The variable x denotes the 2002 player payroll (in millions of dollars), and the variable y denotes the mean attendance (in thousands of fans) for the 81 home games that year. The data are plotted in the Figure 1 scatter plot. Also given is the product of the player payroll and the mean attendance for each of the fourteen teams. (These products, written in the column labelled "xy", may aid in calculations.) | | Player payroll, x (in $1,000,000s) | Mean attendance, y (in thousands) | xy | | :--- | :--- | :--- | :--- | | Anaheim | 62.8 | 28.52 | 1791.056 | | Baltimore | 56.5 | 33.09 | 1869.585 | | Boston | 110.2 | 32.72 | 3605.744 | | Chicago White Sox | 54.5 | 20.74 | 1130.33 | | Cleveland | 74.9 | 32.35 | 2423.015 | | Detroit | 54.4 | 18.52 | 1007.488 | | Kansas City | 49.4 | 16.30 | 805.22 | | Minnesota | 41.3 | 23.70 | 978.81 | | New York Yankees | 133.4 | 42.84 | 5714.856 | | Oakland | 41.9 | 26.79 | 1122.501 | | Seattle | 86.1 | 43.70 | 3762.57 | | Tampa Bay | 34.7 | 13.21 | 458.387 | | Texas | 106.9 | 29.01 | 3101.169 | | Toronto | 66.8 | 20.25 | 1352.7 | What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least two decimal places. (If necessary, consult a list of formulas.)
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For major league baseball teams, is there a relationship between player payrolls and gate money? Here are data for each of the American League teams for the year 2002. The variable x denotes the 2002 player payroll (in millions of dollars), and the variable y denotes the mean attendance (in thousands of fans) for the 81 home games that year. The data are plotted in the Figure 1 scatter plot. Team | Player payroll, x (in $1,000,000s) | Mean attendance, y (in thousands) Anaheim | 62.8 | 28.52 Baltimore | 56.5 | 33.09 Boston | 110.2 | 32.72 Chicago White Sox | 54.5 | 20.74 Cleveland | 74.9 | 32.35 Detroit | 54.4 | 18.52 Kansas City | 49.4 | 16.30 Minnesota | 41.3 | 23.70 New York Yankees | 133.4 | 42.84 Oakland | 41.9 | 26.79 Seattle | 86.1 | 43.70 Tampa Bay | 34.7 | 13.21 Texas | 106.9 | 29.01 Toronto | 66.8 | 20.25 The value of the sample correlation coefficient r for these data is approximately 0.728. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. What is the value of the slope of the least-squares regression line for these data? Round your answer to at least two decimal places. What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places.
Ana Carolina D.
Refer to the Baseball 2018 data, which reports information on the 2018 Major League Baseball season. Let attendance be the dependent variable and total team salary be the independent variable. Determine the regression equation and answer the following questions. Team League Team Salary ($ million) HR BA Wins ERA Year Stadium Opened Attendance (Million) Net Worth (Billion) Arizona Diamondbacks National 143.32 176 0.235 82 3.72 1998 2.242695 1.21 Atlanta Braves National 130.6 175 0.257 90 3.75 2017 2.555781 1.625 Baltimore Orioles American 127.63 188 0.239 47 5.18 1992 1.564192 1.2 Boston Red Sox American 227.4 208 0.268 108 3.75 1912 2.895575 2.8 Chicago Cubs National 194.26 167 0.258 95 3.65 1914 3.181089 2.9 Chicago White Sox American 71.84 182 0.241 62 4.84 1991 1.608817 1.5 Cincinnati Reds National 100.31 172 0.254 67 4.63 2003 1.629356 1.01 Cleveland Indians American 142.8 216 0.259 91 3.77 1994 1.926701 1.045 Colorado Rockies National 143.97 210 0.256 91 4.33 1995 3.01588 1.1 Detroit Tigers American 130.96 135 0.241 64 4.58 2000 1.85697 1.225 Houston Astros American 163.52 205 0.255 103 3.11 2000 2.980549 1.65 Kansas City Royals American 129.94 155 0.245 58 4.94 1973 1.665107 1.015 Los Angeles Angels American 173.78 214 0.242 80 4.15 1966 3.020216 1.8 Los Angeles Dodgers National 199.58 235 0.25 92 3.38 1962 3.8575 3 Miami Marlins National 91.82 128 0.237 63 4.76 2012 0.811104 1 Milwaukee Brewers National 108.98 218 0.252 96 3.73 2001 2.850875 1.03 Minnesota Twins American 115.51 166 0.25 78 4.5 2010 1.959197 1.15 New York Mets National 150.19 170 0.234 77 4.07 2009 2.224995 2.1 New York Yankees American 179.6 267 0.249 100 3.78 2009 3.482855 4 Oakland Athletics American 80.32 227 0.252 97 3.81 1966 1.573616 1.02 Philadelphia Phillies National 104.3 186 0.234 80 4.14 2004 2.158124 1.7 Pittsburg Pirates National 91.03 157 0.254 82 4 2001 1.465316 1.26 San Diego Padres National 101.34 162 0.235 66 4.4 2004 2.168536 1.27 San Francisco Giants National 205.67 176 0.254 89 4.13 2000 2.299489 2.85 Seattle Mariners American 160.99 133 0.239 73 3.95 1999 3.156185 1.45 St. Louis Cardinals National 163.78 205 0.249 88 3.85 2006 3.403587 1.9 Tampa Bay Rays American 68.81 150 0.258 90 3.74 1990 1.154973 0.9 Texas Rangers American 140.63 194 0.24 67 4.92 1994 2.107107 1.6 Toronto Blue Jays American 150.95 217 0.244 73 4.85 1989 2.325281 1.35 Washington Nationals National 181.38 191 0.254 82 4.04 2008 2.529604 1.675 What is the expected attendance for a team with a salary of $100 million? If the owners pay an additional $30 million, how many more people could they expect to attend? State the decision rule. Compute the value of the test statistic. Use the .005 significance level. What percentage of the variation in attendance is accounted for by salary? .
Sheryl E.
question c to f
Jon S.
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