MAT 240 Module Three Assignment-Gardner

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Feb 20, 2024

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1 Housing Price Prediction Model for D.M. Pan National Real Estate Company Devan Gardner Department of Math, Southern New Hampshire University MAT 240: Applied Statistics Jody Tate January 28, 2024
2 Housing Price Prediction Model for D.M. Pan National Real Estate Company Module Two Notes Region State County listing price $'s per square foot square feet New England ma norfolk 394,600 $202 1,949 New England ri washington 360,700 $183 1,971 New England ri kent 397,900 $165 2,405 New England me kennebec 331,100 $165 2,005 New England ma franklin 385,200 $171 2,247 New England nh belknap 357,600 $178 2,013 New England me cumberland 370,700 $213 1,744 New England nh hillsborough 372,300 $185 2,014 New England ct fairfield 299,700 $167 1,798 New England ri providence 379,100 $148 2,566 New England ri bristol 355,100 $206 1,726 New England ct new haven 387,100 $181 2,142 New England ct tolland 378,100 $187 2,018 New England ma worcester 395,800 $176 2,246 New England vt chittenden 340,300 $183 1,855 New England ri washington 357,800 $181 1,975 New England ri newport 402,200 $157 2,556 New England ma barnstable 351,800 $143 2,455 New England ma essex 391,300 $179 2,183 New England ma suffolk 853,700 $143 5,987 New England ct litchfield 339,000 $190 1,780 New England nh grafton 373,800 $175 2,131 New England vt chittenden 560,900 $136 4,128 New England me cumberland 347,900 $145 2,403 New England ct middlesex 347,000 $157 2,214 New England nh merrimack 305,500 $166 1,843 New England vt windsor 731,000 $137 5,319 New England ma berkshire 422,800 $168 2,511 New England ma norfolk 313,400 $174 1,806 New England me androscoggin 333,600 $166 2,015   listing price National List price Mean 397900 342365 Median 371500 318000 Standard Deviation 117934 125914 square feet National Sq Ft Mean 2400 2111 Median 2075 1881 Standard Deviation 993 921
3 1,500 2,000 2,500 3,000 3,500 4,000 4,500 5,000 5,500 6,000 6,500 200,000 300,000 400,000 500,000 600,000 700,000 800,000 900,000 f(x) = 115.42 x + 120863.01 Listing Price and Square Footage Square Footage Listing Price Regression Equation Y= 115.42x + 120863 Determine r In the New England region, r= 0.972227929. This number represents the strength of the correlation between Listing Price and Square Footage. This would be considered a strong correlation, as there is a steady and even positive increase between both variables. The connection between these two factors lies in the influence of variable X, which represents the square footage of a house, on the listing price of the house (Y). The evidence for this can be found in the scatter plot presented above. This trendline indicates a consistently positive correlation. While there are a few outliers, the overall trend reflects a gradual rise, illustrating the association between larger homes and higher listing prices in the New England region. The correlation consistently moves in an upward direction.
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