A business is evaluating their advertising budget, and wishes to
determine the relationship between advertising dollars spent and
changes in revenue. Below is the output from their
regression.
SUMMARY OUTPUT |
Regression Statistics |
Multiple R |
0.95 |
|||||
R Square |
0.90 |
|||||
Adjusted R Square |
0.82 |
|||||
Standard Error |
0.82 |
|||||
Observations |
8 |
|||||
ANOVA |
||||||
df |
SS |
MS |
F |
Significance F |
||
Regression |
3 |
23.188 |
7.729 |
11.505 |
0.020 |
|
Residual |
4 |
2.687 |
0.672 |
|||
Total |
7 |
25.875 |
||||
Coefficients |
Std Error |
t Stat |
P-value |
Lower 95% |
Upper 95% |
|
Intercept |
83.91 |
2.03 |
41.36 |
0.00 |
78.28 |
89.54 |
TV ($k) |
1.96 |
0.48 |
4.10 |
0.01 |
0.63 |
3.29 |
Radio ($k) |
0.76 |
0.47 |
1.64 |
0.18 |
-0.53 |
2.05 |
Newspaper ($k) |
1.76 |
1.93 |
0.91 |
0.41 |
-3.60 |
7.11 |
What advertising method provides the most additional revenue per
dollar spent?
Select one:
a. Multiple R
b. TV
c. Radio
d. Newspaper
e. Regression
f. Residual
Solution:
Here we have to find the advertising method provides the most additional revenue per dollar spent?
Here we know that the multiple linear regression is like
Y = a + b1 * x1 + b2 * x2 + b3 * x3
If there are three variables
Where b1 : additional revenue per dollar spent by TV
b2 : additional revenue per dollar spent by rafir
b3 : additional revenue per dollar spent by newspaper
The most affect on factor on revenue is b1 because coefficient of x1( i.e. b1 = 1.96 ) is more than others
Therefore option TV is correct
Answer: b. TV
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