An agent for a residential real estate company has the businessobjective of developing more accurate estimates of the monthlyrental cost for apartments. Toward that goal, the agent would liketo use the size of an apartment, as defined by square footage, topredict the monthly rental cost. The agent selects a sample 48one-bedroom apartments and collects and stores a data in datasetRentSilverSpring (can be found in both editions of datasets on theBlackboard). 7. At the 0.05 level of significance, is there anevidence of a linear relationship between the size of the apartmentand the monthly rent? 8. Construct a 95% confidence intervalestimate of the population slope. 9. Construct a 95% confidenceinterval estimate of the mean monthly rental for all onebedroomapartments that have 800 square feet in size. 10. Construct a 95%prediction interval of the monthly rental for an individualone-bedroom apartment that is 800 square feet in size
| Size (Square feet) | Rent ($) |
| 524 | 1110 |
| 616 | 1175 |
| 666 | 1190 |
| 830 | 1410 |
| 450 | 1210 |
| 550 | 1225 |
| 780 | 1480 |
| 815 | 1490 |
| 1070 | 1495 |
| 610 | 1680 |
| 835 | 1810 |
| 660 | 1625 |
| 590 | 1469 |
| 675 | 1395 |
| 744 | 1150 |
| 820 | 1140 |
| 912 | 1220 |
| 628 | 1434 |
| 645 | 1519 |
| 840 | 1105 |
| 800 | 1130 |
| 804 | 1250 |
| 950 | 1449 |
| 800 | 1168 |
| 787 | 1224 |
| 960 | 1391 |
| 750 | 1145 |
| 690 | 1093 |
| 840 | 1353 |
| 850 | 1530 |
| 965 | 1650 |
| 1060 | 1740 |
| 665 | 1235 |
| 775 | 1550 |
| 960 | 1545 |
| 827 | 1583 |
| 655 | 1575 |
| 535 | 1310 |
| 625 | 1195 |
| 749 | 1200 |
| 634 | 1185 |
| 641 | 1444 |
| 860 | 1385 |
| 740 | 1275 |
| 593 | 1050 |
| 880 | 1650 |
| 895 | 1340 |
| 692 | 1560 |
