$30,000
$35,000
$40,000
Figure 6.2 Linear Trend in Microsoft Corp. Sales 1985-2004
S
t
= -$8,937.7 + $1,908.5t
R2= 87.2%
TABLE 6.1 Sales Revenue for Microsoft Corp., 1985-2004
Sales Natural Logarithm Common Logarithm
Revenue of Sales Revenue of Sales Revenue Time Fitted Sales
Year ($ millions) (Base e) (Base 10) Period (Linear)
1985 139.5 4.938 2.145 1 -7,029.2
1986 202.1 5.309 2.306 2 -5,120.6
Data Source: Company annual reports (various years).
(Note: 2004 data are preliminary.)
a. Linear trend analysis (St)
SUMMARY OUTPUT
Regression Statistics
ANOVA
df SS MS F Significance F
Regression 1 2422300646 2422300646 122.4288294 1.8419E-09
b. Log sales (LogSt)
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.982943035
R Square 0.96617701
X Variable 1 0.128500926 0.005666927 22.67559057 1.09118E-14 0.116595144 0.140406708 0.116595144 0.140406708
c. Natural Logarithm of sales (LnSt)
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.982943035
ANOVA
df SS MS F Significance F
Regression 1 58.21910653 58.21910653 514.1824075 1.09118E-14
Month Visitors Percent change
January 7,481
February 9,686 29.5%
1986 1.58 0.24 0.11 0.03 0.15 0.90 3.59 ANOVA
1990 3.70 0.65 0.45 0.05 0.50 2.21 8.46 Total 23 2595.026133
1991 3.96 0.58 0.59 0.06 0.40 2.48 9.54
1994 6.40 0.97 0.65 0.10 0.68 3.50 15.33 X Variable 1 31.38763074 2.608631425 12.03222136 3.77599E-11 25.97765448 36.79760701 25.97765448 36.79760701