Module 3 Assignment for Applied Statistics

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Southern New Hampshire University *

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Economics

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Jan 9, 2024

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Housing Price Prediction Model for D.M. Pan Real Estate Company Caitlynne Moreland Southern New Hampshire University
Median Housing Price Prediction Model for D.M. Pan National Real Estate Company 2 Module Two Notes Square Feet Listing Price 1,663 250,300 1,773 279,300 1,777 174,900 1,792 291,100 1,908 229,600 1,964 217,500 1,996 207,500 2,007 208,000 2,104 213,600 2,133 190,100 2,199 252,500 2,200 298,500 2,278 308,500 2,279 265,900 2,295 254,800 2,328 293,000 2,357 336,800 2,385 269,000 2,438 288,300 2,450 256,800 2,476 316,900 2,479 273,600 2,482 295,100 2,532 268,600 2,538 279,400 2,585 326,400 4,177 476,600 4,562 532,300 4,947 630,100 5,719 564,900 0 1000 2000 3000 4000 5000 6000 7000 $0 $100,000 $200,000 $300,000 $400,000 $500,000 $600,000 $700,000 f(x) = 104.85 x + 33171.48 East South Central Region Square Feet Listing Price
Median Housing Price Prediction Model for D.M. Pan National Real Estate Company 3 Regression Equation y = 104.85x + 33171 Determine r The correlation between listing price and square feet is 0.935. This correlation is strong due to it being close to one. The correlation is positive because as square footage increases, so does the listing price. Examine the Slope and Intercepts The value of land only would be $33,171. This value makes sense because it falls on the y-axis, where it is positive. 104.85(0) + 33171 = $33,171 R -squared Coefficient 0.875, or 87.5%, is the r-squared coefficient. This gives the ratio of the variance of how much the listing price and square footage vary. Conclusions There are distinct differences when comparing data from the East South Central region and the National data. Most East South Central data is higher than the national data—some more than others. The only section that has my selected data beat is the max portion of the square footage. National East South Central Mean 2,111 2,561 Standard Deviation 921 972 Minimum 1,101 1,663 Q1 1,626 2031 Median 1,881 2,312 Q3 2,215 2,481 Max 6,516 5,719
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Median Housing Price Prediction Model for D.M. Pan National Real Estate Company 4 For every 100 square feet, the house’s listing price should increase by $10,485. This can be proved by using the regression equation and multiplying 104.85 by 100. When using the regression equation, the best range would be between roughly 1,600 to 5,800. Plugging in square footage outside this range wouldn’t be very beneficial due to not having data to relate the answer to. When looking at the graph, we can compare a home of 1,600 square feet to a known value of 1,663 square feet. At 1,663 square feet, the house is listed at $250,300. It’s above the trend line but is still useful when comparing. Inputting 1,600 into our equation gives us 104.85(1600) + 33171 = $200,931. It’s pretty close to the known value of a house listed with 1,663 square feet.