Exercise 1. A real estate agent wishes to determine the selling price of residences using the size (square feet) and whether the residence is a condominium or a single-family home. A sample of 20...


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Exercise 1.<br>A real estate agent wishes to determine the selling price of residences using the size<br>(square feet) and whether the residence is a condominium or a single-family home. A sample of 20 residences was<br>obtained with the following results:<br>Price (S) Type Square Feet Price (S)<br>199,700 Family<br>211,800<br>Туре Square Feet.<br>Condo<br>1,500<br>200,600<br>1,375<br>Condo<br>2,085<br>1,450<br>1,836<br>1,730<br>1,726<br>208,000<br>Condo<br>1,825<br>1,650<br>197,100 Family<br>228,400 Family<br>215,800 Family<br>Condo<br>210,500<br>Family<br>233,300 Family<br>187,200<br>1,960<br>1,360<br>Condo<br>190,900<br>312,200<br>185,200<br>Condo<br>1,200<br>Family<br>Family<br>Condo<br>239,000 Family<br>2,300<br>284,100<br>2,000<br>1,650<br>1,950<br>1,545<br>313,600<br>207,200<br>Family<br>Family<br>203,100 Family<br>1,755<br>1,850<br>258,200<br>184,400<br>Condo<br>1,630<br>1.<br>Produce a regression equation to predict the selling price for residences using a model of the<br>following form:<br>yi = Bo + Biri + hra +e<br>where:<br>if a condo<br>ri = Square footage and ra =<br>0 if a single-family home<br>2.<br>Interpret the estimated parameters and , in the model give in part 1.<br>3.<br>Produce an equation that describes the relationship between the selling price and the square<br>footage of (1) condominium and (2) single-family homes.<br>4.<br>Conduct a test of hypothesis to determine if the difference between the average selling price of<br>condominiums and single-family homes significant.<br>5.<br>What change would you expect in the estimated regression model if you recode ra as the following?<br>Rerun the regression model with the newly coded ra and verify your expectation.<br>1 if a single-family home<br>if a condo<br>

Extracted text: Exercise 1. A real estate agent wishes to determine the selling price of residences using the size (square feet) and whether the residence is a condominium or a single-family home. A sample of 20 residences was obtained with the following results: Price (S) Type Square Feet Price (S) 199,700 Family 211,800 Туре Square Feet. Condo 1,500 200,600 1,375 Condo 2,085 1,450 1,836 1,730 1,726 208,000 Condo 1,825 1,650 197,100 Family 228,400 Family 215,800 Family Condo 210,500 Family 233,300 Family 187,200 1,960 1,360 Condo 190,900 312,200 185,200 Condo 1,200 Family Family Condo 239,000 Family 2,300 284,100 2,000 1,650 1,950 1,545 313,600 207,200 Family Family 203,100 Family 1,755 1,850 258,200 184,400 Condo 1,630 1. Produce a regression equation to predict the selling price for residences using a model of the following form: yi = Bo + Biri + hra +e where: if a condo ri = Square footage and ra = 0 if a single-family home 2. Interpret the estimated parameters and , in the model give in part 1. 3. Produce an equation that describes the relationship between the selling price and the square footage of (1) condominium and (2) single-family homes. 4. Conduct a test of hypothesis to determine if the difference between the average selling price of condominiums and single-family homes significant. 5. What change would you expect in the estimated regression model if you recode ra as the following? Rerun the regression model with the newly coded ra and verify your expectation. 1 if a single-family home if a condo
Jun 08, 2022
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