mat-240 module 2 project

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Southern New Hampshire University *

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240

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Feb 20, 2024

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I was recently hired as a junior analyst at D.M Pan National Real Estate Company and was asked to prepare a report to examine the relationship between the selling prices of properties and their size in square feet. I was given the data that I was asked to review and select a random region to create a random sample like in this sample. Sample # State Listing Price Square Feet Sample 1 wa $430,400 1,680 Sample 2 wa $887,800 4,422 Sample 3 Ca $354,600 1,390 Sample 4 Ca $516,300 1,914 Sample 5 Or $385,500 1,728 Sample 6 Ak $330,600 1,430 Sample 7 Ca $349,500 1,494 Sample 8 Or $676,100 3,656 Sample 9 Wa $309,400 1,296 Sample 10 Ca $371,200 1,597 Sample 11 Wa $420,400 1,963 Sample 12 Hi $512,300 2,030 Sample 13 Ca $424,000 1,959 Sample 14 Or $351,000 1,192 Sample 15 Ca $291,500 1,655
Sample 16 Wa $422,800 1,462 Sample 17 Ca $777,900 4,635 Sample 18 Wa $370,100 1,351 Sample 19 Or $387,200 1,526 Sample 20 Or $357,000 1,324 Sample 21 Ca $413,100 1,595 Sample 22 Ca $654,300 3,597 Sample 23 Wa $405,700 1,800 Sample 24 Wa $500,200 1,993 Sample 25 Wa $460,700 1,922 Sample 26 Or $345,500 1,104 Sample 27 Ca $329,500 1,274 Sample 28 Ca $364,800 1,546 Sample 29 Wa $420,400 1,856 Sample 30 ca $417,200 1,213 Using the above information, I was able to find the mean, median and the standard deviation for my sample as shown below. Mean Median Standard Deviation Listing Price 441,233 409,400 $138,813 Square Feet 1,920 1,626 914.631 The random sample I have provided as you can see is not a great representation for the national market. If you look at the National Summary Statistics and graphs real estate data, we
see that the median listing price is $318,000 whereas in the Pacific region the median listing price is $409,400. This shows that the National median price is significantly lower than the Pacific region. When it comes to square footage, the median of square footage for the National Summary Statistics 1,881 whereas the median for the Pacific region is 1,626. This shows that not only is the selling price above the national median but the square footage you get is also less. So basically, you pay more for your house in the Pacific, and you get less space. The standard deviation from my sample also varies from the national average. The samples standard deviation was $138,813 and square footage deviation of 914.631. The national standard deviation is $125,914 and square footage deviation of 921. With this comparison you can see that the national deviation is less but also has more square footage. I ensured that my sample was taken random and has not biases. I achieved this by selecting a certain region (Pacific) then using a statistical equation to apply a random number to each different location within the Pacific region. I then took the randomized numbers and sorted the data and sorted them from smallest to largest. I then chose the top 30 results to create the
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random sample for this study. This was truly randomized computer-generated numbers.
Selling Price Analysis for D.M. Pan National Real Estate Company 4 largest. Once by the random values applied to each entry, I choose the top 30 results to create the random sample used within my study. The results resulted in a true random selection of 30 entries that show no biases that could be present in selecting a
sample in a different way. Thriving on 30 randomized computer- generated numbers sorted from smallest to largest have removed all possible biases or errors/ Scatterplot The independent variable (x) in the scatterplot is the median of square feet of the random sample homes in the Pacific region. The dependent variable (y) is the median listing price of homes from the random sample of the pacific region. Given that the independent variable which is also known as the predictor variable is the median square feet of the sampled homes, that is the variable that would be useful is making predictions, as it is the variable that predicts the value of Y.
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The correlation of x and y on the scatterplot above shows that the median square footage rises so does the median listing price of the home. This means that the plot indicates that there is an evident positive relationship between the two values and that the relationship is linear which you can see on the scatterplot. The regression formula of scatterplot is Y=144.28x + 164,188 and if the house wsa 1800 square feet based on this equation the price you would list the house for would be equivalent to Y=144.28*1,800+164.188 which equals Y=144.28*1,800+164.188 and Y=259,800 + 164.188. This means that Y=$259,800+ 164.188 which means that Y=$259,868 as the listing price for a house with 1,800 square feet in the Pacific region. The biggest outliers that are on the scatterplot are two homes listed at $887,800 which has 4,422 square feet and $779,900 with 4,635 square feet. Based on the regression equation provided by the scatterplot the first house should have been listed at &638,170 and the second house should have been listed at $668,902. The first house was listed a lot cheaper compared to the regression equation by about $249,630 and the second house was listed at a higher rate compared to the regression equation by about $108,988. Some reasons there could be a difference is because of where the house is located (city), amenities, or how new the house is. The outliers are evident on the scatterplot to show houses that fall outside of the normal median variables provided on the scatterplot.
Selling Price Analysis for D.M. Pan National Real Estate Company 5 is an evident positive relationship between the two values and that the relationship can be described as linear, which is demonstrated on the scatterplot with the apparent trend line. The regression equation/formula of the scatterplot is Y =
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144.28x + 164,188 and if you had a house with 1,800 square feet based on this equation the price you would list the house at would be equivalent to. Y = 144.28*1,800 + 164.188 which equals Y = 144.28*1,800 + 164.188 and Y = 259,800 + 164.188. Which means that Y = $259,868.19 or
$259,868 dollars as the listing price for a house with 1,800 square feet in the Pacific region. There are a few outliers on the scatterplot the largest two being a home listed at $887,800 with 4,422 square feet and $777,900 with 4,635 square feet. Based on the regression equation provided by the scatterplot the first
house should have been listed at $638,170 and the second house should have been listed at 668,902. The first house was listed at a much cheaper price compared to the regression equation by about $249,630 and the second house was listed at a higher rate compared to the regression
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equation by about $108,988. The reasons for these differences could be what city the houses are located in. How old or new the houses are. What amenities the houses offer or don’t offer for that matter. The outliers are evident on the scatterplot to show houses that fall outside of the normal
median variables provided on the scatterplot. The above 2 examples show and explain why outliers may exist within the scatterp Selling Price Analysis for D.M. Pan National Real Estate Company 2 Introduction I was hired as a junior analyst by D.M Pan National Real Estate Company and have bban
asked to prepare a report that examines the relationship between the selling price of properties and their size in square feet. I was provided the data that I was asked to review. Upon receiving this data, I selected a region and created a random sample to obtain the results that I will be providing in this following report.
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Representative Data Sample I choose to review the Pacific region as I am originally from the West Coast in the USA. Here is the sample that I used: Sample # State Listing Price Square Feet Sample 1 wa $430,400 1,680 Sample 2 wa $887,800 4,422 Sample 3 ca $354,600 1,390
Sample 4 ca $516,300 1,914 Sample 5 or $385,500 1,728 Sample 6 ak $330,600 1,430 Sample 7 ca $349,500 1,494 Sample 8 or $676,100 3,656 Sample 9 wa $309,400 1,296 Sample 10 ca $371,200 1,597 Sample 11 wa $420,400 1,963
Sample 12 hi $512,300 2,030 Sample 13 ca $424,000 1,959 Sample 14 or $351,000 1,192 Sample 15 ca $291,500 1,655 Sample 16 wa $422,800 1,462 Sample 17 ca $777,900 4,635 Sample 18 wa $370,100 1,351 Sample 19 or $387,200 1,526
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Sample 20 or $357,000 1,324 Sample 21 ca $413,100 1,595 Sample 22 ca $654,300 3,597 Sample 23 wa $405,700 1,800 Sample 24 wa $500,200 1,993 Sample 25 wa $460,700 1,922 Sample 26 or $345,500 1,104 Sample 27 ca $329,500 1,274
Sample 28 ca $364,800 1