In: Finance
You must use Excel for solving all the problems
In problem 13.9 on page 501, an agent for real estate company wanted to predict the monthly rent for one-bedroom apartments, based on the size of the apartment. The data are stored in rentsliverspring. Use the results of that problem.
a. at the 0.05 level of significance, is there evidence of a linear relationship between the size of the apartment and the monthly rent?
b. Construct at 95% confidence interval estimate of the population slop b1.
Rentsliverspring data:
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 |
Solution :
Regression analysis is performed on the excel.
Part A )
At 95% confidence interval we compare the value of significance
If significance value is < 0.05 then there is a clear evidence of a linear relationship
Here sig value is 0.0134 < 0.05
So we can say that Monthly rent is dependent upon the size of the apartment
Part B )
Construct at 95% confidence interval estimate of the population slop b1
Calculated in the excel sheet
Interval :
Lower bound :0.1068
Upper bound 0.8794