I have collected real data on the sale of a microwavable cup of soup across 20 different cities for the same time period (a month).  The variables in the dataset are:   Quantity sold in the city for that month:  Measured in thousands of units Price:  measured in dollars Average Income in the city:  Measured in thousands of dollars Ads:  Average number of ads run in stores for that city during that month. Price of a substitute product:  measured in dollars Population of the city:  measured in thousands of people   The dataset is on Canvas and, using Excel or any other statistical software, please answer the following questions:   1. Describe the patterns in quantity sold and own and rival prices during this time period using basic descriptive statistics.  Graphs are welcome as well.   2. Take the logs of the variables, and estimate the demand function. a. Interpret the R-square. b. Interpret the coefficients for logP and logPsub c. Interpret the p-values associated with each independent variable   3. Are consumers price sensitive?  Why or why not?  (be as precise as you can – you have estimates!). Does this price sensitivity make sense given the good we are examining?   4. How sensitive are our consumers to changes in the rival good’s price?  Explain in detail.   5. Suppose we decide to charge a per ounce price of $2, while at the same time our rival charges a price of $2.15.  All else equal, what would you expect sales to be?  How confident are you in your forecast?  Explain.   6. Suppose we are charging a price of $2 and our currentmarginal cost is $1.50  Are we maximizing profits at this price?  If not, should we raise or lower price?  Why?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
icon
Concept explainers
Question

I have collected real data on the sale of a microwavable cup of soup across 20 different cities for the same time period (a month).  The variables in the dataset are:

 

Quantity sold in the city for that month:  Measured in thousands of units

Price:  measured in dollars

Average Income in the city:  Measured in thousands of dollars

Ads:  Average number of ads run in stores for that city during that month.

Price of a substitute product:  measured in dollars

Population of the city:  measured in thousands of people

 

The dataset is on Canvas and, using Excel or any other statistical software, please answer the following questions:

 

1. Describe the patterns in quantity sold and own and rival prices during this time period using basic descriptive statistics.  Graphs are welcome as well.
 
2. Take the logs of the variables, and estimate the demand function.
a. Interpret the R-square.
b. Interpret the coefficients for logP and logPsub
c. Interpret the p-values associated with each independent variable
 
3. Are consumers price sensitive?  Why or why not?  (be as precise as you can – you have estimates!). Does this price sensitivity make sense given the good we are examining?
 
4. How sensitive are our consumers to changes in the rival good’s price?  Explain in detail.
 
5. Suppose we decide to charge a per ounce price of $2, while at the same time our rival charges a price of $2.15.  All else equal, what would you expect sales to be?  How confident are you in your forecast?  Explain.
 
6. Suppose we are charging a price of $2 and our currentmarginal cost is $1.50  Are we maximizing profits at this price?  If not, should we raise or lower price?  Why?
City
Q
A
Psub
Рop
1
32.92
1.89
32.4
4.38
2.08
98.7
28.51
1.94
29.9
4.12
2.06
104.5
3
33.94
1.99
29.1
5.06
2.15
105.1
4
33.45
2.04
28.6
5.36
2.18
106.9
35.68
2.09
30.2
5.38
2.18
108.9
6
29.01
1.89
31.4
3.47
1.99
115.2
30.68
1.94
30.3
4.06
2.05
117.8
8
43.14
1.99
30.4
5.29
2.17
120.2
9
20.84
2.04
28.6
3.39
1.98
120.8
10
31.27
2.09
26.3
5.12
2.16
122.7
11
35.45
1.89
26.5
4.44
2.09
122.9
12
32.14
1.94
29.5
4.18
2.06
124.6
13
43.02
1.99
29.1
5.57
2.2
125.8
14
34.73
2.04
31.2
3.57
2
131.9
15
43.14
2.09
23.8
6.43
2.39
133.1
16
33.17
1.89
28.8
3.95
2.04
135.6
17
41.59
1.94
29.3
4.04
2.05
136.5
18
32.1
1.99
27.4
4.36
2.08
141.8
19
45.74
2.04
27.8
5.81
2.23
144.8
20
35.92
2.09
30.2
4.63
2.11
150.1
Transcribed Image Text:City Q A Psub Рop 1 32.92 1.89 32.4 4.38 2.08 98.7 28.51 1.94 29.9 4.12 2.06 104.5 3 33.94 1.99 29.1 5.06 2.15 105.1 4 33.45 2.04 28.6 5.36 2.18 106.9 35.68 2.09 30.2 5.38 2.18 108.9 6 29.01 1.89 31.4 3.47 1.99 115.2 30.68 1.94 30.3 4.06 2.05 117.8 8 43.14 1.99 30.4 5.29 2.17 120.2 9 20.84 2.04 28.6 3.39 1.98 120.8 10 31.27 2.09 26.3 5.12 2.16 122.7 11 35.45 1.89 26.5 4.44 2.09 122.9 12 32.14 1.94 29.5 4.18 2.06 124.6 13 43.02 1.99 29.1 5.57 2.2 125.8 14 34.73 2.04 31.2 3.57 2 131.9 15 43.14 2.09 23.8 6.43 2.39 133.1 16 33.17 1.89 28.8 3.95 2.04 135.6 17 41.59 1.94 29.3 4.04 2.05 136.5 18 32.1 1.99 27.4 4.36 2.08 141.8 19 45.74 2.04 27.8 5.81 2.23 144.8 20 35.92 2.09 30.2 4.63 2.11 150.1
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 5 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

5. Suppose we decide to charge a per ounce price of $2, while at the same time our rival charges a price of $2.15.  All else equal, what would you expect sales to be?  How confident are you in your forecast?  How do you get P=0.07 in the solution

Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON