The registrar at State University believes that decreases in the number of freshman applications that have been experienced are directly and linearly related to tuition increases. They have collected the following enrollment and tuition data for the past ten years:
Year Freshman Applications Annual Tuition ($)
1 6010 3600
2 5560 3600
3 6100 4000
4 5330 4400
5 4980 4500
6 5870 5700
7 5120 6000
8 4750 6000
9 4615 7500
10 4100 8000
Your work must reflect the correct independent and dependent variables based on the problem statements. This is part of the solution that is required.
a) Evaluate the registrar's belief that there is a direct relationship between the number of freshman applications as the tuition increases. What is this regression relationship and how strong is this relationship?
b) What is the expected number of applications if tuition increases to $10,000 per year?
c) Looking at the annual tuition for the past ten years, the Smith family believes that there is a relationship between time (expressed as the Year) and the tuition. They want to plan on the total tuition for a four year college degree for their son who will be applying and if accepted enrolling beginning in year 12. What should they budget for the tuition for these four years? How strong is the relationship you are using?