MAT 240 Module Two Assignment

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Southern New Hampshire University *

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Feb 20, 2024

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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 Karen Morrow Southern New Hampshire University MAT 240: Applied Statistics Instructor Jennifer Turner November 6, 2022
Selling Price Analysis for D.M. Pan National Real Estate Company 2 Introduction The real estate industry acquires data to provide an intuitive analysis of how it can have an advantage over its competition. Linear regression is heavily relied on by the industry to estimate home prices. To predict the business environment and provide the best advice to their clients, real estate businesses must be well versed in the relationship between price, square footage, build year, location, and other factors. The sales team at D.M. Pan Real Estate Company has requested a report that examines the relationship between the selling price of properties and their size in square feet. The team has asked to be provided with an initial analysis of a select region. Representative Data Sample Charted below is a simple random sample of 30 for the Northeast Region using real estate county data for 2019. State County listing price $'s per square foot square feet random ny jefferson 287,800 $191 1,504 0.409664 sample national pa lebanon 377,800 $201 1,881 0.189728 mean price $301,576 342,365 pa cumberland 270,900 $186 1,456 0.446753 median price $297,400 318,000 ny kings 247,900 $189 1,310 0.405313 Std dev price 76651.2 125,914 ny madison 311,800 $158 1,973 0.461212 pa northumberland 301,600 $163 1,852 0.401774 ny ulster 228,600 $162 1,407 0.592642 sample national pa luzerne 386,500 $186 2,077 0.166121 mean sqft 1,704 2,111 ny warren 236,500 $205 1,156 0.038873 median sqft 1,574 1,881 pa lehigh 305,800 $194 1,579 0.994204 std dev sqft 586.85 921 ny clinton 351,500 $179 1,969 0.744781 ny tioga 257,400 $218 1,183 0.566768 ny albany 297,400 $207 1,439 0.828021 ny washington 257,300 $203 1,265 0.812822 pa clearfield 257,900 $170 1,517 0.205508 ny herkimer 306,900 $171 1,797 0.160513 pa pike 256,400 $168 1,529 0.320317 pa centre 626,500 $144 4,354 0.923987 ny saratoga 304,600 $157 1,946 0.899651 pa beaver 315,300 $157 2,010 0.827777 ny rockland 302,300 $165 1,835 0.203498 pa centre 290,200 $184 1,574 0.669911 ny orange 329,300 $168 1,963 0.1019 pa adams 247,000 $158 1,566 0.286766 pa allegheny 224,200 $196 1,145 0.048239 ny rensselaer 347,000 $190 1,827 0.885504 pa bucks 325,800 $182 1,794 0.135472 pa berks 207,400 $173 1,199 0.92321 pa northampton 286,100 $218 1,313 0.183521
Selling Price Analysis for D.M. Pan National Real Estate Company 3 Data Analysis The regional sample is reflective of the national market in that the listing price of a home increases as the square footage increases; however, the sample reveals that the listing prices and square footage of homes in the northeast region are lower than those of the national population. The real estate data spreadsheet provided information on 100 properties sold in the northeast region. To get a truly random sample, I imported the data into excel and used the rand function to generate random numbers for each property. I then sorted the data using the random numbers in numerical order and then picked the top 30 properties. Scatterplot 1,000 1,500 2,000 2,500 3,000 3,500 4,000 4,500 5,000 - 100,000 200,000 300,000 400,000 500,000 600,000 700,000 f(x) = 124.08 x + 90127.04 Northeast Region Square Feet Listing Price The Pattern The independent variable is the square feet, and the dependent variable is the listing price. In making predictions, the independent variable representing the square feet would be
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