Identify the independent variable (IV), dependent variable (DV),

1. In theory of statistics, dependent variable is the criterion or response variable.
In regression, the aim is to predict the dependent variable using the independent variables.
The independent variable is the explanatory variable, which can be controlled and used to predict the response variable.
In this case, the lower tuition rates will have higher acceptance rates.
Hence, the changes of tuition rates affect the change of acceptance rates.
Hence, IV = Tuition rates.
2. DV: Acceptance rates.
3. The unit of analysis of IV is dollars and unit of analysis for DV is percentage.
4. Levels of measurement:
Nominal: When the possible observations are tags or categories or names, without any natural ordering, the level of measurement is nominal; arithmetic operations cannot be performed even if the values are numerical.
Ordinal: When the possible observations are tags or categories or names, with a natural ordering, the level of measurement is ordinal; arithmetic operations cannot be performed even if the values are numerical.
Interval: When the possible observations are numerical values that can be added or subtracted, but not divided or multiplied, the level of measurement is interval; zero is not absolute, but relative.
Ratio: When the possible observations are numerical values that can be added or subtracted, divided, or multiplied, the level of measurement is ratio; zero is absolute.
Here, the IV is tuition rates which is numerical value and mathematical operation can be performed on it. Moreover, zero is absolute in this case.
Thus, the level of measurement is ratio.

5. Here, the DV is acceptance rates which is numerical value and mathematical operation can be performed on it. Moreover, zero is absolute in this case.
Thus, the level of measurement is ratio.