One of the biggest factors in determining the value of a home is the square footage. The accompanying data represent the square footage and selling price (in thousands of dollars) for a random sample of homes for sale in a certain region. Complete parts (a) through (h) below. Click the icon to view the housing data. i Data Table (b) Draw a scatter diagram of the data. Choose the correct scatter diagram below. Square Footage, x Selling Price ($000s), y O A. OB. O c. 2220 382.3 700- 4500 TY O Ax 4500-T 3099 363 1078 182.1 2013 344.1 3099 618.5 2733 363.9 150- 1000- X 1000- 4500 150 4013 1000 1000 700 612.2 4500 2160 368.9 (c) Determine the linear correlation coefficient between square footage and asking price. 2503 408.4 1746 304 1785 270.7 Click to select your answer(s). 3652 665.7(c) Determine the linear correlation coefficient between square footage and asking price. (Round to three decimal places as needed.) (d) Is there a linear relation between square footage and asking price? O Yes O No (e) Find the least-squares regression line treating square footage as the explanatory variable. ( Round to two decimal places as needed.) Click to select your answer(s).(f) Interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. For every additional thousand dollars in selling price, the square footage increases by square feet, on average. (Round to two decimal places as needed.) O B. For a house that is sold for $0, the predicted square footage is (Round to two decimal places as needed.) O C. For a house that is 0 square feet, the predicted selling price is thousand dollars. (Round to two decimal places as needed.) O D. For every additional square foot, the selling price increases by thousand dollars, on average. (Round to two decimal places as needed.) O E. It is not appropriate to interpret the slope.[g1 Is it reasonable to interpret the yintercept? Why? Select the correct choice below and, if necessary. ll in the answer box to complete your choice. 0 A- Noa house of D square feet is not possible. (Type an integer or a simplied fraction.) 0 3- Noa house of D square feet is outside the scope ofthe model (Type an integer or a simplied fraction.) O C. Yese house of I: square feet is possible and within the scope of the model. (Type an integer or a simplied fraction.) 0 5- Noa house of D square feet is not possible and outside the scope of the model. (Type an integer or a simplied fraction.) 0 E. More information about the houses is necessary before deciding. (h) One home that is 1418 square feet is sold for $215 thousand. Is this home's price above or below average for a home of this size? The home's price is the average price. The average price of a home that is 1418 square feet is $ thousand. (Round to the nearest whole number as needed.) Click to select your answer(s)
