Solution) An agent for a real estate company in a large city would like to be able to predict the monthly rent
Question: An agent for a real estate company in a large city would like to be able to predict the monthly rental cost for apartments based upon the size of the apartment as defined by square footage. A sample of 25 apartments in a particular residential neighborhood was selected and the information gathered revealed the following:
Apartment | Rent ($) | Size (sf) | Apartment | Rent ($) | Size (sf) |
1 | 950 | 850 | 14 | 1,800 | 1369 |
2 | 1,600 | 1450 | 15 | 1,400 | 1175 |
3 | 1,200 | 1085 | 16 | 1,450 | 1225 |
4 | 1,500 | 1232 | 17 | 1,100 | 1245 |
5 | 950 | 718 | 18 | 1,700 | 1259 |
6 | 1,700 | 1485 | 19 | 1,200 | 1150 |
7 | 1,650 | 1136 | 20 | 1,150 | 896 |
8 | 935 | 726 | 21 | 1,600 | 1361 |
9 | 875 | 700 | 22 | 1,650 | 1040 |
10 | 1,150 | 956 | 23 | 1,200 | 755 |
11 | 1,400 | 1100 | 24 | 800 | 1000 |
12 | 1,650 | 1285 | 25 | 1,750 | 1200 |
13 | 2,300 | 1985 |
a) Use the least squares method to find the regression coefficients b 0 and b 1 .
b) State the simple linear regression equation
c) Your friends Jim and Jennifer are considering signing a lease for an apartment in this residential neighborhood. They are trying to decide between two apartments, one with 1,000 square feet with a monthly rent of $1,275 and the other with 1,200 square feet for a monthly rent of $1,425. What would you recommend to them? Why?
Deliverables: Word Document
