Determining the Selling Price of a Home Determining how much topay for a home is one of the more difficult decisions that must bemade when purchasing a home. There are many factors that play arole in a home’s value. Location, size, number of bedrooms, numberof bathrooms, lot size, and building materials are just a few.Fortunately, the website Zillow.com has developed its own formulafor predicting the selling price of a home. This information is agreat tool for predicting the actual sale price. For example, thedata to the right show the “zestimate”—the selling price of a homeas predicted by the folks at Zillow and the actual selling price ofthe home for homes in Oak Park, Illinois. The graph below, called ascatter diagram, shows the points (291.5, 268), (320, 305), . . . ,(368, 385) in a Cartesian plane. From the graph, it appears thatthe data follow a linear relation. 1. Imagine drawing a linethrough the data that appears to fit the data well. Do you believethe slope of the line would be positive, negative, or close tozero? Why? 2. Pick two points from the scatter diagram. Treat thezestimate as the value of x and treat the sale price as thecorresponding value of y. Find the equation of the line through thetwo points you selected. 3. Interpret the slope of the line. 4. Useyour equation to predict the selling price of a home whosezestimate is $335,000. 5. Do you believe it would be a good idea touse the equation you found in part 2 if the zestimate is $950,000?Why or why not? 6. Choose a location in which you would like tolive. Go to www.zillow.com and randomly select at least ten homesthat have recently sold. (a) Draw a scatter diagram of your data.(b) Select two points from the scatter diagram and find theequation of the line through the points. (c) Interpret the slope.(d) Find a home from the Zillow website that interests you underthe “Make Me Move” option for which a zestimate is available. Useyour equation to predict the sale price based on the zestimate. cani get the full answer of this question please