The Cincinnati Reds baseball team was founded in the 1800s and is still active today. They have had several home ballparks over the years, currently playing at Great American Ball Park since 2003. In recent seasons, their uniforms added black accents and their latest team captain was Ramon Cabrera in 2014. The Reds' current salary is $112 million.
2. The Cincinnati Reds are started in 1800s until 2000s.Another name for Cincinnati Reds
is Big Red Machine. Reds Ballparks for Cincinnati Reds are at Union Ground (1869-1870),
Avenue Grounds(1876-1879) ,League Park (1884-1901),Palace Of the Fans (1902-1911),Crosley
Field (1912-1970) ,Riverfront Stadium (1970-2002) and Great American Balls Park (2003-
Present). Manager for this club is Walt Jocketty, and owner by Bob Castellini. For their uniform,
The Reds would not make another major uniform change until the 1999 season. The addition of
black to the uniform was the most distinctive change. Black was added as a drop-shadow to the
traditional "C-LOG", and was also featured on the bill of the home cap (solid red with a white
wishbone C and black drop shadow), and as the base color for the road cap (red bill with a white
wishbone C and black drop shadow). The latest team captain Ramon Cabrera(2014).Lastly ,for
the team Cincinnati Reds salary is U$$112,387,772.
3. a) MULTIPLE REGRESSION MODEL
Y= 𝐵 𝑂 + 𝐵1 𝑋1 + 𝐵2 𝑋2 + 𝐵3 𝑋3 + 𝐵4 𝑋4 + 𝐵5 𝑋5 + 𝜖
Ŷ = 2150.010 + 33.936 X1- 3.800 X2+ 32.900 X3+ 5112.048 X4+3308.850 X5
b ) The 𝑏1 of 33.936 indicates that each increase or decrease of 1°
F in the temperature for the
day when are held win, opwin ,weekend and promotion held constant ,then paid attendance will
increase an average of US$ 33.9360.
The 𝑏2 of -3.800 indicates that each increase of 1% in the team’s winning percentage at the time
of the game in for the day when are held temperature for the day, opponent team’s winning
percentage at the time of the game, weekend and promotion held constant ,then paid attendance
will reduces an average of US$ 3.800.
The 𝑏3 of 32.900 indicates that each increase of 1% in the opponent team’s winning percentage
at the time of the game when are held temperature, win,weekend and promotion held constant
,then paid attendance will increase an average of US$ 32.900.
The 𝑏4 of 5112.048 indicates that each increase of 1 in weekend when are held temperature,
win,opwin and promotion held constant ,then paid attendance will increase an average of
US$5112.0480.
The 𝑏5 of 3308.850 indicates that each increase of 1 in the promotion when are held temperature
,win, opwin ,and weekend held constant ,then paid attendance will increase an average of US$
3308.850.
c)
Reject 𝑋1 𝑎𝑛𝑑 𝑋2 because the value is greater than 0.05.
d) The p-values of the temperature for the day is more than common alpha level 0.05,which
indicates that it is not statistically significant.
4. The p-values of the team’s winning percentage is more than common alpha level
0.05,which indicates that it is not statistically significant.
The p-values of the opponent’s winning percentage is less than common alpha level
0.05,which indicates that it is statistically significant.
The p-values of the game played on weekend is less than common alpha level 0.05,which
indicates that it is statistically significant.
The p-values of the promotion is less than common alpha level 0.05,which indicates that
it is statistically significant.
e)
Ŷ = 2150.010 + 33.936 X1- 3.800 X2+ 32.900 X3+ 5112.048 X4+3308.850 X5
Temperature : 58°
Winning Percentage : 45.2%
Opponent’s winning percentage : 45.5%
Weekend : (0) Monday
Promotion : (1) “Coke is it”
Ŷ = 2150.010 + 33.936 (58)- 3.800 (45.2)+ 32.900 (45.5)+ 5112.048 (0)+3308.850 (1)
Ŷ = 2150.010 + 1968.288 - 17.176 + 1496.95 + 0 + 3308.850
= 8906.922
f) coefficient of multiple determination : 0.369
36.9% of the variation that occurs in dependent variable (Y) ,is explained by variation of all the
independent variable .The model can be considered poor fit.
g) Durbin-Watson statistics: 1.321
5. The analysis showed thatthe Durbin Watson statistic is 1.321,indicating thatthere is positive correlation.
h) Multicollinearity
Does not exist in the model because the collinearity statistics value of tolerance are all
greater than 0.1 and the value of VIF less than 10.
i) Drop 𝑥1 , 𝑥2 because its greater than 0.05.
𝑌̂ = 𝐵0 + 𝐵1 𝑋1 + 𝐵2 𝑋2 + 𝐵3 𝑋3
𝑌̂ = −5091.416 + 18.403 𝑋1 + 2325.339 𝑋2 + 296.518 𝑋3
j) R2 for all independent variables : 36.9 %
R2 for insignificant independent variables : 33.9 %
Module with all independent is better because the R2 is greater than insignificant
independent variables.