What measure of central tendency is more appropriate to describe Sales/SqFt?

Part 1. (part 2 below)
Assignment Content Statistics ANALYSIS
Resource: Pastas R Us, Inc. Database (this attachment
included)

Review the Wk 2 – Statistical Report
assignment.

In preparation for writing your report to senior management
next week, conduct the following descriptive statistics analyses with Excel.
Answer the questions below in your Excel sheet or in a separate Word document:
Insert a new column in the database that corresponds to
Annual Sales. Annual Sales is the result of multiplying a restaurants
SqFt. by Sales/SqFt.
Calculate the mean, standard deviation, skew, 5-number
summary, and interquartile range (IQR) for each of the variables.
Create a box-plot for the Annual Sales variable. Does it
look symmetric? Would you prefer the IQR instead of the standard deviation to
describe this variables dispersion? Why?
Create a histogram for the Sales/SqFt variable. Is the distribution
symmetric? If not, what is the skew? Are there any outliers? If so, which
one(s)? What is the SqFt area of the outlier(s)? Is the outlier(s) smaller or
larger than the average restaurant in the database? What can you conclude from
this observation?
What measure of central tendency is more appropriate to
describe Sales/SqFt? Why?

Part 2.
Assignment Content
Resources: Pastas R Us, Inc. Database & Microsoft
Excel, Wk 1: Descriptive Statistics Analysis Assignment.

Purpose
This assignment is intended to help you learn how to apply
statistical methods when analyzing operational data, evaluating the performance
of current marketing strategies, and recommending actionable business
decisions. This is an opportunity to build critical-thinking and
problem-solving skills within the context of data analysis and interpretation.
Youll gain a first-hand understanding of how data analytics supports
decision-making and adds value to an organization.

Scenario:
Pastas R Us, Inc. is a fast-casual restaurant chain
specializing in noodle-based dishes, soups, and salads. Since its inception,
the business development team has favored opening new restaurants in areas
(within a 3-mile radius) that satisfy the following demographic conditions:
Median age between 25 45 years old
Household median income above national average
At least 15% college educated adult population
Last year, the marketing department rolled out a Loyalty
Card strategy to increase sales. Under this program, customers present their
Loyalty Card when paying for their orders and receive some free food after
making 10 purchases.

The company has collected data from its 74 restaurants to
track important variables such as average sales per customer, year-on-year
sales growth, sales per sq. ft., Loyalty Card usage as a percentage of sales,
and others. A key metric of financial performance in the restaurant industry is
annual sales per sq. ft. For example, if a 1200 sq. ft. restaurant recorded $2
million in sales last year, then it sold $1,667 per sq. ft.

Executive management wants to know whether the current
expansion criteria can be improved. They want to evaluate the effectiveness of
the Loyalty Card marketing strategy and identify feasible, actionable
opportunities for improvement. As a member of the analytics department, youve
been assigned the responsibility of conducting a thorough statistical analysis
of the companys available database to answer executive managements questions.

Report:
Write a 750-word statistical report that includes the
following sections:
Section 1: Scope and descriptive statistics
Section 2: Analysis
Section 3: Recommendations and Implementation
Section 1 – Scope and descriptive statistics
State the reports objective.
Discuss the nature of the current database. What variables
were analyzed?
Summarize your descriptive statistics findings from Excel.
Use a table and insert appropriate graphs.
Section 2 – Analysis
Using Excel, create scatter plots and display the regression
equations for the following pairs of variables:
BachDeg% versus Sales/SqFt
MedIncome versus Sales/SqFt
MedAge versus Sales/SqFt
LoyaltyCard(%) versus SalesGrowth(%)
In your report, include the scatter plots. For each scatter
plot, designate the type of relationship observed (increasing/positive,
decreasing/negative, or no relationship) and determine what you can conclude
from these relationships.
Section 3: Recommendations and implementation
Based on your findings above, assess which expansion
criteria seem to be more effective.Could any expansion criterion be changed or
eliminated? If so, which one and why?
Based on your findings above, does it appear as if the
Loyalty Card is positively correlated with sales growth? Would you recommend
changing this marketing strategy?
Based on your previous findings, recommend marketing
positioning that targets a specific demographic. (Hint: Are younger people
patronizing the restaurants more than older people?)
Indicate what information should be collected to track and
evaluate the effectiveness of your recommendations. How can this data be
collected? (Hint: Would you use survey/samples or census?)
Cite references to support your assignment.
Format your citations according to APA guidelines.

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