In: Math
A consulting company is hired to investigate the relationship between average physician annual income and number of beds present at a local hospital. Assume the following table represents a SRS of hospitals.
Average Physician Annual Income($/year, X) |
Number of Beds (Count, Y) |
127,655 |
698 |
176,526 |
943 |
134,253 |
713 |
114,534 |
578 |
116,549 |
498 |
167,547 |
889 |
149,863 |
769 |
176,546 |
937 |
149,537 |
776 |
153,649 |
813 |
126,349 |
678 |
1. Calculate basic descriptive statistics for your X and Y variables.
2. Calculate a correlation coefficient, and interpret your result with respect to strength and direction.
3. Calculate and correctly interpret your r2 for the data.
4. Can we consider the relationship causal? For instance, can we claim that the higher the physician average income at a hospital, the more beds the hospital has?