The following results are from data that were collected from a sample of Chicago Cubs baseball games. The dependent variable is ATTENDANCE, TEMP is a variable measuring the forecasted game-time temperature: WIN% is a variable measuring the winning percentage of the Cubs before the game is played, OPWIN% is a variable measuring the winning percentage of their opponent, WEEKEND is a dummy variable = 1 if the game is played on a weekend and = 0 if the game is played during a weekday, PROMOTION is a dummy variable = 1 if there is a promotion for the game (giving away something to those who attend the game) and = 0 if there is not a promotion, and WEEK*PROM is an interaction term equal to WEEKEND*PROMOTION. a) What is the predicted attendance if TEMP = 70, WIN% = 500, OPWIN% = 500, the game is played on a weekend and there is NO promotion? b) What is the predicted attendance if TEMP = 70, WIN% = 500, OPWIN% = 500, the game is played on a weekend and there is a promotion? c) Based on your answers to the previous 2 questions, what is the marginal impact of offering a promotion for weekend games?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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7) The following results are from data that were collected from a sample of Chicago Cubs baseball games. The dependent variable is ATTENDANCE, TEMP is a variable measuring the forecasted game-time temperature: WIN% is a variable measuring the winning percentage of the Cubs before the game is played, OPWIN% is a variable measuring the winning percentage of their opponent, WEEKEND is a dummy variable = 1 if the game is played on a weekend and = 0 if the game is played during a weekday, PROMOTION is a dummy variable = 1 if there is a promotion for the game (giving away something to those who attend the game) and = 0 if there is not a promotion, and WEEK*PROM is an interaction term equal to WEEKEND*PROMOTION. a) What is the predicted attendance if TEMP = 70, WIN% = 500, OPWIN% = 500, the game is played on a weekend and there is NO promotion? b) What is the predicted attendance if TEMP = 70, WIN% = 500, OPWIN% = 500, the game is played on a weekend and there is a promotion? c) Based on your answers to the previous 2 questions, what is the marginal impact of offering a promotion for weekend games?
7) The following results are from data that were collected from a sample of Chicago Cubs baseball
games. The dependent variable is ATTENDANCE, TEMP is a variable measuring the forecasted game
time temperature: WIN% is a variable measuring the winning percentage of the Cubs before the game
is played, OPWIN% is a variable measuring the winning percentage of their opponent, WEEKEND is
a dummy variable 1 if the game is played on a weekend and 0 if the game is played during a
weekday, PROMOTION is a dummy variable = 1 if there is a promotion for the game (giving away
something to those who attend the game) and = 0 if there is not a promotion, and WEEK*PROM is an
interaction term equal to WEEKEND*PROMOTION.
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
0.639
0.408
0.360
Standard Error
4289
Observations
81
ANOVA
df
6.
SS
MS
Significance F
0.00000051
Regression
937187572
156197929
8.49
Residual
74
1361494231
18398571
Total
80
2298681803
Coefficients
Standard Error
t Stat
P-value
Upper 95%
24536.7
Lower 95%
Intercept
Temp
12405.7
6088.2
2.04
0.05
274.8
72.6
38.9
1.87
0.07
-4.8
150.1
Win%
24.3
12.4
1.97
0.05
-0.3
49.0
OpWin%
5.7
6.0
0.94
0.35
-6.3
17.6
Weekend
5254.6
1654.8
3.18
0.00
1957.2
8551.9
Promotion
4432.5
1363.6
3.25
0.00
1715.5
7149.5
Week*Prom
-3057.6
1830.5
-1.67
0.10
-6700.3
585.1
a)
What is the predicted attendance if TEMP = 70, WIN% = 500, OPWIN% = 500, the game is
played on a weekend and there is NO promotion?
Transcribed Image Text:7) The following results are from data that were collected from a sample of Chicago Cubs baseball games. The dependent variable is ATTENDANCE, TEMP is a variable measuring the forecasted game time temperature: WIN% is a variable measuring the winning percentage of the Cubs before the game is played, OPWIN% is a variable measuring the winning percentage of their opponent, WEEKEND is a dummy variable 1 if the game is played on a weekend and 0 if the game is played during a weekday, PROMOTION is a dummy variable = 1 if there is a promotion for the game (giving away something to those who attend the game) and = 0 if there is not a promotion, and WEEK*PROM is an interaction term equal to WEEKEND*PROMOTION. SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square 0.639 0.408 0.360 Standard Error 4289 Observations 81 ANOVA df 6. SS MS Significance F 0.00000051 Regression 937187572 156197929 8.49 Residual 74 1361494231 18398571 Total 80 2298681803 Coefficients Standard Error t Stat P-value Upper 95% 24536.7 Lower 95% Intercept Temp 12405.7 6088.2 2.04 0.05 274.8 72.6 38.9 1.87 0.07 -4.8 150.1 Win% 24.3 12.4 1.97 0.05 -0.3 49.0 OpWin% 5.7 6.0 0.94 0.35 -6.3 17.6 Weekend 5254.6 1654.8 3.18 0.00 1957.2 8551.9 Promotion 4432.5 1363.6 3.25 0.00 1715.5 7149.5 Week*Prom -3057.6 1830.5 -1.67 0.10 -6700.3 585.1 a) What is the predicted attendance if TEMP = 70, WIN% = 500, OPWIN% = 500, the game is played on a weekend and there is NO promotion?
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