2-3 Module Two Assignment Template

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Apr 3, 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 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
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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.
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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 .