Mama Olivia catering services has determined that demand for “pizza” by university students’  is given by the hypothetical equation below:  Q=B0+B1PX+B2A+B3PY+B4Y+B5P0p+u Where Q

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Question 3
Mama Olivia catering services has determined that demand for “pizza” by university students’ 
is given by the hypothetical equation below: 

Q=B0+B1PX+B2A+B3PY+B4Y+B5P0p+u

Where Q is the quantity of pizza sold per month, Px is the price of pizza, A is the amount of cedis spent on advertisement, PY is the price of Mama Olivia’s major competitor, Y is disposable income per capita, Pop is population of university students and u is the residual (error term). The estimated regression output is presented below. (table attached as image).

Use the table above to answer the following questions:
(a). Form the linear demand function 
(b). Describe the economic meaning of each coefficient included in Mama Olivia’s demand 
function 
c). Describe the statistical significance of each of the independent variables 
(d). Interpret the coefficient of determination (R2)
(e). Use the regression model to estimate sales if PX is GH¢6, A is GH¢250, PY is GH¢7, Y is GH¢500 and Pop is 2,400

 

Where Q is the quantity of pizza sold per month, Px is the price of pizza, A is the amount of
cedis spent on advertisement, PY is the price of Mama Olivia's major competitor, Y is
disposable income per capita, Pop is population of university students and u is the residual
(error term). The estimated regression output is presented below.
Variables
Coefficients
Standard
t Stat
P-
Error
value
Intercept
280.27
37.48
7.48
0.00
Price (Px)
- 3.15
1.57
-2.01
0.004
Competitor Price (Py)
68.11
0.04
-2.79
0.061
Income (Y)
0.98
0.76
-1.30
0.012
Advertising
Expenditure
5.11
3.79
-1.35
0.19
(A)
Population (Pop)
23.01
5.20
-4.42
0.002
R? = 0.85
Transcribed Image Text:Where Q is the quantity of pizza sold per month, Px is the price of pizza, A is the amount of cedis spent on advertisement, PY is the price of Mama Olivia's major competitor, Y is disposable income per capita, Pop is population of university students and u is the residual (error term). The estimated regression output is presented below. Variables Coefficients Standard t Stat P- Error value Intercept 280.27 37.48 7.48 0.00 Price (Px) - 3.15 1.57 -2.01 0.004 Competitor Price (Py) 68.11 0.04 -2.79 0.061 Income (Y) 0.98 0.76 -1.30 0.012 Advertising Expenditure 5.11 3.79 -1.35 0.19 (A) Population (Pop) 23.01 5.20 -4.42 0.002 R? = 0.85
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman