A real estate agentwants to study the relationship between the size of an apartmentand its monthly rent price. The table below presents the size insquare feet and the monthly rent in dollars, for a sample ofapartments in a suburban neighborhood.
| Rent ($) | 720 | 595 | 915 | 760 | 1000 | 790 | 880 | 845 | 650 | 748 | 685 | 755 | 815 | 745 | 715 | 885 |
| Size (Square Feet) | 1000 | 900 | 1200 | 810 | 1210 | 860 | 1135 | 960 | 800 | 960 | 650 | 970 | 1000 | 1000 | 1000 | 1180 |
Calculate thecorrelation between these two variables.
If a linear regressionmodel were fit, what is the value of the slope and the value of they-intercept?
In a test for theslope of the regression line being equal to zero versus thetwo-sided alternate, what is the value of the test statistic andthe p-value?
