2-3 Module Two Assignment Template
docx
keyboard_arrow_up
School
Southern New Hampshire University *
*We aren’t endorsed by this school
Course
MAT240
Subject
Mathematics
Date
Apr 3, 2024
Type
docx
Pages
8
Uploaded by BarristerMorningArmadillo32
Selling Price and Area Analysis for D.M. Pan National Real Estate Company
1
Report: Selling Price and Area Analysis for D.M. Pan National Real Estate Company
Patricia Smith
Southern New Hampshire University
Selling Price Analysis for D.M. Pan National Real Estate Company
2
Introduction
The following analysis report examines the relationship between the selling price of properties located in the East North Central Region and their size in square feet. This information will be one factor that will assist D.M. Pan Real Estate Company to provide the best advice to their clients.
Representative Data Sample
The region selected for this sample was that of the East North Central Region. Below is a simple random sample of 30 including the mean, median, and standard deviation of the listing price and the square foot variables.
Simple sample of 30 for the East North Central Region:
Region
State
County
listing price
$'s
per
square
foot
square feet random
East North Central
oh
ashland
188,000
$151
1,246
0.71667
East North Central
mi
ingham
222,500
$125
1,777
0.502319
East North Central
oh
marion
149,700
$116
1,296
0.366492
East North Central
mi
ionia
193,600
$137
1,416
0.729054
East North Central
il
dekalb
347,500
$97
3,574
0.900977
East North Central
il
rock island
166,300
$127
1,305
0.989362
East North Central
in
vigo
165,800
$122
1,362
0.095668
East North Central
il
tazewell
278,700
$165
1,693
0.278699
East North Central
oh
cuyahoga
265,100
$136
1,947
0.134928
East North Central
wi
rock
513,100
$104
4,950
0.4211
East North Central
il
coles
220,800
$117
1,893
0.122765
East North Central
il
knox
205,100
$118
1,740
0.684561
East North Central
wi
milwaukee
184,900
$111
1,666
0.93548
East North Central
oh
lucas
228,300
$115
1,978
0.232983
East North Central
il
stephenson
235,600
$140
1,682
0.801555
East North Central
il
jackson
154,300
$105
1,463
0.885406
East North Central
mi
eaton
189,900
$96
1,976
0.979204
East North Central
oh
tuscarawas
270,700
$149
1,815
0.939907
East North Central
oh
lorain
226,200
$126
1,789
0.456991
East North Central
mi
muskegon
230,400
$131
1,757
0.838888
East North Central
oh
jefferson
246,500
$136
1,814
0.098955
East North Central
oh
scioto
204,200
$131
1,562
0.295987
East North Central
oh
richland
248,900
$132
1,880
0.732386
Selling Price Analysis for D.M. Pan National Real Estate Company
3
East North Central
il
peoria
187,900
$131
1,434
0.886291
East North Central
mi
jackson
139,200
$116
1,201
0.690352
East North Central
in
howard
304,300
$152
1,996
0.612699
East North Central
oh
montgomery
225,300
$151
1,493
0.294879
East North Central
il
champaign
246,700
$121
2,031
0.827447
East North Central
oh
pickaway
265,700
$143
1,853
0.034182
East North Central
mi
montcalm
218,300
$105
2,081
0.079716
Sample mean, median, and standard deviation of the listing price and the square foot variables:
Mean price
$230,783
Median price
$223,900
Std dev price
$ 70,866
Mean sqft
1,856
Median sqft
1,767
Std dev sqft
724
Data Analysis
Comparison of the mean, median, and standard deviation of the listing price and the square foot variables between the East North Central region sample and the national population:
East North Central Region
National Population
Mean price
230,783
342,365
Median price
223,900
318,000
Std dev price
70,866
124,914
East North National Population
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Selling Price Analysis for D.M. Pan National Real Estate Company
4
Central Region
Mean sqft
1,856
2,111
Median sqft
1,767
1,881
Std dev sqft
724
921
Based on the above comparison between the random statistic sample of the East North Central region and the national population, it can be viewed that the mean, median, and standard deviation prices as well as the square footage is lower than the national population. It does not compare and is not equal or higher than the national population. This can be based on the lower square footage in the East North Central region which would make the listing prices lower. Therefore, an assumption could be that based on the data for the national population areas the square footage is higher therefore the listing prices are higher.
A simple random sample of 30 were generated from the data. To obtain a truly random sample, the following method was utilized in excel:
The East North Central region was chosen, and the other regions were removed from the excel sheet.
In the excel sheet provided with this analysis, in column “G” I entered a new title for this column and named it “random.”
In column G2 I entered the random function which is =rand(). Once you enter that function press enter and a number will appear.
On the number that appeared in G2 I hovered on the lower right of that cell and double clicked. This copied the random function on the entire column.
Once that is done, I selected and highlighted all the information on the excel sheet.
All the information should be highlighted. I then clicked on the “Data” button which is listed on the top menu of the excel sheet.
Then click on the “Sort” button listed in the top portion as well.
Once the “Sort” button is clicked, the “sort” box will appear.
In the sort box ensure that the “my data has headers” has a check mark, because headers are included in the excel sheet.
Click on the sort drop box and select “random.”
Click “ok”
Once this is done all the information will be sorted randomly.
Selling Price Analysis for D.M. Pan National Real Estate Company
5
At that point since the information had been sorted randomly, I chose the sample of 30 and removed the others.
Scatterplot
1,000 1,500 2,000 2,500 3,000 3,500 4,000 4,500 5,000 5,500 - 100,000 200,000 300,000 400,000 500,000 600,000 f(x) = 89.29 x + 65093.56
East North Central Region
In this scatterplot the response/dependent variable (y) is the listing price, and the predictor/independent variable (x) is the square feet. Also, included in the scatterplot is the trend line and the regression equation of y=89.289x + 65094.
The Pattern
As indicated above the scatterplot response/dependent variable (y) is the listing price and the predictor/independent variable (x) is the square feet. Based on the scatterplot information we can
see that there is a trend. It is not perfectly linear, but it is positive. The predictor/independent
Selling Price Analysis for D.M. Pan National Real Estate Company
6
variable (x) which is the square feet is useful in making this prediction. This demonstrates that as
the square footage increases the value of the listing price increases. When observing the scatterplot, we can see that although the shape is not perfectly linear it is not
nonlinear. A nonlinear shape would be a shape that does not resemble a straight line, it can resemble a curve or not really resemble anything, for a nonlinear shape one variable does not result in a proportional increase or decrease in the other variable (Study.com, 2003-2023). Therefore, the shape would be linear because the trend is linear, it demonstrates that as the square footage increased the listing price increased. It can also be viewed that there are two outliers in the graph. Outliers are an observation of data that does not fit the rest of the data (Illowksy & Dean, 2013). These outliers appeared on the scatterplot that was generated because we chose 30 random samples from the original data of the East North Central region. The samples were random. Most of the homes in the region were close together, however, there are a few homes in the region that indicate that the square footage is higher therefore the listing price is higher.
If we had an 1,800 square foot house, our listing price would be $225,814, based on utilizing the
regression equation of y=89.289x + 65094. The listing price was obtained as follows:
In the excel sheet provided, the following information was input into an empty cell. =89.289*1800+65094 and press enter. This will provide us with the predicted listing price of $225,814, which is a lower price than our sample and the national population, but based on the regression equation that is the number.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Selling Price Analysis for D.M. Pan National Real Estate Company
7
However, this is an analysis of data, and it can be used as only one factor before decisions are made.
Selling Price Analysis for D.M. Pan National Real Estate Company
8
References
YouTube. (2021, November 9). MAT-240 Module 2 Assignment[video]. YouTube. https://youtu.be/PCL4YbDeGvg
Illowskym, B., & Dean, S. (2013). Introductory Statistics: OpenStax. Introductory Statistics. https://openstax.org/books/introductory-statistics/pages/2-1-stem-leaf-graphs-stemplots-line-
graphs-and-bar-graphs
Study.com. (2003-2023). Classifying Linear & Nonlinear Relationships from Scatter Plots. Study.com. https://study.com/skill/learn/classifying-linear-nonlinear-relationships-from-scatter-
plots-explanation
.