Question

Consider the following time series: Quarter Year 1 Year 2 Year 3 71 68 4941 (a) Choose a time series plot. 9 10 11 12 Perodit
What type of pattern exists in the data? Is there an indication of a seasonal pattern? - Select your answer - (b) Use a multi
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Answer #1
y t Q1 Q2 Q3
71 1 1 0 0
49 2 0 1 0
54 3 0 0 1
73 4 0 0 0
68 5 1 0 0
41 6 0 1 0
56 7 0 0 1
76 8 0 0 0
62 9 1 0 0
51 10 0 1 0
49 11 0 0 1
67 12 0 0 0

a)

option iii) is correct

от M

b)

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.938765238
R Square 0.881280172
Adjusted R Square 0.836760236
Standard Error 4.55521679
Observations 12
ANOVA
df SS MS F Significance F
Regression 3 1232.25 410.75 19.7952 0.0005
Residual 8 166 20.75
Total 11 1398.25
Coefficients Standard Error t Stat P-value Lower 95%
Intercept 72 2.6300 27.3769 0.0000 65.9353
Q1 -5 3.7193 -1.3443 0.2157 -13.5768
Q2 -25 3.7193 -6.7217 0.0001 -33.5768
Q3 -19 3.7193 -5.1085 0.0009 -27.5768

y^ = 72 - 5 Q2 -25 Q2 - 19 Q3

c)

Year Quarter Ft
4 1 67.000
4 2 47.000
4 3 53.000
4 4 72.000

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