In: Statistics and Probability
Can you show how to answer this in excel and not Minitab? Refer to the Baseball 2016 data, which reports information on the 2016 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. a. Draw a scatter diagram. From the diagram, does there seem to be a direct relationship between the two variables? b. What is the expected attendance for a team with a salary of $100.0 million? c. If the owners pay an additional $30 million, how many more people could they expect to attend? d. At the .05 significance level, can we conclude that the slope of the regression line is positive? Conduct the appropriate test of hypothesis. e. What percentage of the variation in attendance is accounted for by salary? f. Determine the correlation between attendance and team batting average and between attendance and team ERA. Which is stronger? Conduct an appropriate test of hypothesis for each set of variables.
Team Salary | Attendance |
118.90 | 2281202 |
168.70 | 2880694 |
110.70 | 1755810 |
87.70 | 1388905 |
172.80 | 2726048 |
69.10 | 2153585 |
112.90 | 2708549 |
146.40 | 3012765 |
108.30 | 2220054 |
213.50 | 3193795 |
80.80 | 1768175 |
123.20 | 2193581 |
74.80 | 1287054 |
144.80 | 2491875 |
116.40 | 2794891 |
65.80 | 2080145 |
89.60 | 2001392 |
117.20 | 2959812 |
117.70 | 2419506 |
98.30 | 2506789 |
230.40 | 3764815 |
84.60 | 1752235 |
98.70 | 2542558 |
100.10 | 2569753 |
133.00 | 1831080 |
85.90 | 2498596 |
126.60 | 2459742 |
166.50 | 3375882 |
120.30 | 3520889 |
174.50 | 2619843 |
(a)
From the scatter plot, it is observed that Team Salary and Attendance are positively correlated and there seems to be a direct relationship between these two variables.
(b)
SUMMARY OUTPUT | ||||||
Regression Statistics | ||||||
Multiple R | 0.706773855 | |||||
R Square | 0.499529282 | |||||
Adjusted R Square | 0.481655328 | |||||
Standard Error | 427738.1077 | |||||
Observations | 30 | |||||
ANOVA | ||||||
df | SS | MS | F | Significance F | ||
Regression | 1 | 5.11324E+12 | 5.11324E+12 | 27.94733 | 1.26761E-05 | |
Residual | 28 | 5.12288E+12 | 1.8296E+11 | |||
Total | 29 | 1.02361E+13 | ||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
Intercept | 1196918.806 | 251124.0645 | 4.766244957 | 5.25E-05 | 682514.4788 | 1711323.133 |
Team Salary | 10347.28988 | 1957.295783 | 5.286523357 | 1.27E-05 | 6337.951214 | 14356.62854 |