A regional planner employed by a public university is studying the demographics of nine counties in the eastern region of an Atlantic seaboard state. She has gathered the following data: County Median Income Median Age Coastal
A $48,157 57.7 1
B 48,568 60.7 1
C 46,816 47.9 1
D 34,876 38.4 0
E 35,478 42.8 0
F 34,465 35.4 0
G 35,026 39.5 0
H 38,599 65.6 0
I 33,315 27.0 0
1. Is there a linear relationship between the median income and median age?
2. Use regression analysis to determine the relationship between median income and median age.
3. Interpret the value of the slope in a simple regression equation.
4. Include the aspect that the county is "coastal" or not in a multiple linear regression analysis using a "dummy" variable.
5. Test each of the individual coefficients to see if they are significant.