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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
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) ofa sample of eight apartments in a neighborhood. The data is shown below, along with the linear regression equation. Complete parts a through 0 below. A y,=120.3 +1.058xi Monthly Rent($) 975 1,550 800 1,500 1,950 975 1,800 1,250 El Size(SquareFeet) 750 1,350 1,050 1,200 1,800 750 1,350 1,050 :3. 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 coefcients on and b, in this problem. C) A. For each increase of 1 square foot in space, the monthly rent is expected to increase by $120.3. Apartments in this neighborhood cost at least $1.058. C) B. For each increase of 1 square foot in space, the monthly rent is expected to increase by $1.058. Apartments in this neighborhood cost at least $120.3. Cl C. For each increase of 1 square foot in space, the monthly rent is expected to increase by $120.3. Since X cannot be zero, 1.058 has no practical interpretation. C) D. For each increase of 1 square foot in space, the monthly rent is expected to increase by $1.058. Since X cannot be zero, 120.3 has no practical interpretation. 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, ll in the answer box to complete your answer. Q A- The estimated mean monthly rent is , as long as b1 is greater than 0. (Round to two decimal places as needed.) C) B. 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. C) C. 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. C) D. The correlation between an apartment's size and its monthly rent is too weak to use this model for such a prediction
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