Question

In: Statistics and Probability

PepsiCo Revenues ($ millions), 2005–2010 Quarter 2005 2006 2007 2008 2009 2010 Qtr1 6,585    7,205   ...

PepsiCo Revenues ($ millions), 2005–2010
Quarter 2005 2006 2007 2008 2009 2010
Qtr1 6,585    7,205    7,350    8,333 8,263   9,368
Qtr2 7,697    8,599    9,607    10,945 10,592   14,801
Qtr3 8,184    8,950    10,171    11,244   11,080   15,514
Qtr4 10,096    10,383    12,346    12,729   13,297  

18,155

(b) State the model found when performing a regression using seasonal binaries. (A negative value should be indicated by a minus sign. Round your answers to 4 decimal places.

yt =___ + _____t +_____ Q1 +_____ Q2 +______ Q3

Solutions

Expert Solution

data

y t q1 q2 q3
6585 1 1 0 0
7697 2 0 1 0
8184 3 0 0 1
10096 4 0 0 0
7205 5 1 0 0
8599 6 0 1 0
8950 7 0 0 1
10383 8 0 0 0
7350 9 1 0 0
9607 10 0 1 0
10171 11 0 0 1
12346 12 0 0 0
8,333 13 1 0 0
10,945 14 0 1 0
11244 15 0 0 1
12729 16 0 0 0
8263 17 1 0 0
10592 18 0 1 0
11080 19 0 0 1
13297 20 0 0 0
9,368 21 1 0 0
14,801 22 0 1 0
15,514 23 0 0 1
18,155 24 0 0 0
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.927608978
R Square 0.860458416
Adjusted R Square 0.83108124
Standard Error 1171.697178
Observations 24
ANOVA
df SS MS F Significance F
Regression 4 160846126.6 40211531.64 29.29003209 6.8748E-08
Residual 19 26084611.27 1372874.277
Total 23 186930737.8
Coefficients Standard Error t Stat P-value Lower 95%
Intercept 8973.2833 684.8834778 13.1019124 5.79529E-11 7539.80574
t 275.7893 35.01114972 7.877184494 2.10729E-07 202.5101072
q1 -4156.2988 684.5851186 -6.071266665 7.72107E-06 -5589.15193
q2 -1909.2548 680.0940241 -2.807339418 0.011242418 -3332.707914
q3 -1701.3774 677.3850749 -2.511684187 0.021211076 -3119.160637

y^= 8973.2833 + 275.7893 T -4156.2988 Q1 -1909.2548 Q2 -1701.3774 Q3

orchestra answered 3 years ago
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