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ED Question 2 of 6 This quiz: 6 point(s) possible This question: 1 point(s) possible Resume later Submit quiz An agent for a real estate
ED Question 2 of 6 This quiz: 6 point(s) possible This question: 1 point(s) possible Resume later Submit quiz An agent for a real estate company in a large city collected data on the sizes (x in square feet) and monthly rents (y in dollars) of a sample of eight apartments in a neighborhood. The data is shown below, along with the linear regression equation. Complete parts a through c below. y = 392.4 +0.821x Monthly Rent ($) 975 1,450 850 1,450 1,950 975 1,825 1,300 Size (Square Feet) 750 1,300 1,050 1,200 2,000 650 1,250 1,100 a. Estimate the mean monthly rent for an apartment that has 1,000 square feet. The mean monthly rent for such an apartment is approximately $. Round to the nearest cent as needed.) b. Interpret the coefficients bo and b, in this problem. O A. For each increase of 1 square foot in space, the monthly rent is expected to increase by $392.4. Apartments in this neighborhood cost at least $0.821. O B. For each increase of 1 square foot in space, the monthly rent is expected to increase by $392.4. Since X cannot be zero, 0.821 has no practical interpretation. O C. For each increase of 1 square foot in space, the monthly rent is expected to increase by $0.821. Since X cannot be zero, 392.4 has no practical interpretation. O D. For each increase of 1 square foot in space, the monthly rent is expected to increase by $0.821. Apartments in this neighborhood cost at least $392.4. c. You have been asked to estimate the mean monthly rent for an apartment that has 2,500 square feet. Discuss how you would proceed and indicate your cautions. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. O A. It is not appropriate for the linear regression equation to estimate this value, because the value is outside the range of values given for apartment size. O B. The correlation between an apartment's size and its monthly rent is too weak to use this model for such a prediction. O C. It is not appropriate for the linear regression equation to estimate this value, because the value is greater than 2 standard deviations from the mean apartment size. O D. The estimated mean monthly rent is , as long as b, is greater than 0. (Round to two decimal places as needed.)
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