BUS 223 Lecture Notes - Lecture 9: Regression Analysis, Coefficient Of Determination, Analysis Of Variance
25 Jun 2018
School
Department
Course
Professor
Look at the data and printouts below for the brand preference for adolescents and adults
and amount spent on advertising.
Brand Preference
Advertising
Adolescent
Adult
Brand
($ million)
(%)
(%)
Marlboro
75
60
23.5
Camel
43
13.3
6.7
Newport
35
12.7
4.8
Kool
21
1.2
3.9
Winston
17
1.2
3.9
Benson & Hedges
4
1
3
Salem
3
0.3
2.5
Source: Centers for Disease Control Web site
SUMMARY OUTPUT
Adolescents
Regression Statistics
Multiple R
0.923547136
R Square
0.852939312
Adjusted R Square
0.823527174
Standard Error
9.063086053
Observations
7
ANOVA
df
SS
MS
F
Significance F
Regression
1
2382.010927
2382.011
28.99957
0.002978
Residual
5
410.697644
82.13953
Total
6
2792.708571
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Intercept
-9.424720101
5.365512686
-1.75654
0.139344
-23.2172
4.367747
X Variable 1
0.786227478
0.145999863
5.385125
0.002978
0.410923
1.161531
SUMMARY OUTPUT
Adults
Regression Statistics
Multiple R
0.901095927
R Square
0.811973869
Adjusted R Square
0.774368643
Standard Error
3.536487824
Observations
7
ANOVA
df
SS
MS
F
Significance F
Regression
1
270.0462694
270.0463
21.59205
0.005598628
Residual
5
62.53373063
12.50675
Total
6
332.58
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Intercept
-0.587943946
2.093665465
-0.28082
0.790098
-5.969873567
4.793986
X Variable 1
0.264725291
0.056970301
4.646724
0.005599
0.118278711
0.411172
a) Which variable is the dependent variable?
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b) Which variable is the independent variable?
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