In: Statistics and Probability
An agent for a real estate company wanted to predict the monthly rent for apartments based on the size of the apartment. The data for a sample of
25 apartments is available below. Perform a t test for the slope to determine if a significant linear relationship between the size and the rent exists.
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 a 95% confidence interval estimate of the population slope, betaβ1.
Size_(sq._ft) | Rent_($) |
850 | 1925 |
1440 | 2575 |
1075 | 2225 |
1242 | 2525 |
728 | 1950 |
1485 | 2725 |
1126 | 2675 |
726 | 1935 |
690 | 1850 |
966 | 2150 |
1110 | 2375 |
1285 | 2675 |
1985 | 3275 |
1369 | 2800 |
1165 | 2400 |
1225 | 2475 |
1235 | 2125 |
1269 | 2675 |
1160 | 2175 |
906 | 2125 |
1361 | 2600 |
1040 | 2625 |
745 | 2200 |
1010 | 1825 |
1210 | 2750 |
You can use any software to solve this question.
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