4. Suppose that you are a financial analyst for the popular restaurant chain Applebee's. Theregional manager, Ed, is wanting you to estimate the cost curve of the Applebee's in the Northeast district. He wants you to run the following model:

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4. Suppose that you are a financial analyst for the popular restaurant chain Applebee's. Theregional
manager, Ed, is wanting you to estimate the cost curve of the Applebee's in the Northeast district. He
wants you to run the following model:
In(Costi) = +ªQi +°¤Longlslandi +u
where Cost is the cost of operations on day i, Qi is the number of meals served, and LongIsland, is
the number of Long Islands (an alcoholic beverage) served on day i.
You estimate the model and get the following results:
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Squ
0.48
0.23
0.22
Standard Error
0.00
Observations
174
ANOVA
df
SS
MS
F
Significance F
Regression
Residual
7.59257E-05
2.96121E-06
2
0.00
25.64
0.00
171
173
0.00
Total
0.00
Coefficients Standard Error
9.23
Upper 95%
9.25
t Stat
P-value
Lower 95%
Intercept
0.01
867.68
0.00
9.21
Q
0.0006
0.00
2.25
0.03
0.00
0.00
Long Island
0.0004
0.00
2.46
0.02
0.00
What is the statistical interpretation of a and îa?
Transcribed Image Text:4. Suppose that you are a financial analyst for the popular restaurant chain Applebee's. Theregional manager, Ed, is wanting you to estimate the cost curve of the Applebee's in the Northeast district. He wants you to run the following model: In(Costi) = +ªQi +°¤Longlslandi +u where Cost is the cost of operations on day i, Qi is the number of meals served, and LongIsland, is the number of Long Islands (an alcoholic beverage) served on day i. You estimate the model and get the following results: SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Squ 0.48 0.23 0.22 Standard Error 0.00 Observations 174 ANOVA df SS MS F Significance F Regression Residual 7.59257E-05 2.96121E-06 2 0.00 25.64 0.00 171 173 0.00 Total 0.00 Coefficients Standard Error 9.23 Upper 95% 9.25 t Stat P-value Lower 95% Intercept 0.01 867.68 0.00 9.21 Q 0.0006 0.00 2.25 0.03 0.00 0.00 Long Island 0.0004 0.00 2.46 0.02 0.00 What is the statistical interpretation of a and îa?
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