Examine the two models that represent the annual tuition for two colleges.
A. Describe each model as linear or exponential.
B. Write the function for each model
C. Why do both models have the same value for year 1? Explain the math behind this.
Years After 2004
0
1
Tuition at College 1
($)
2000.00
2200.00
2400.00
2600.00
2800.00
Tuition at College 2
($)
2000.00
2200.00
2420.00
2662.00
2928.20
2.
3
4

1. An independent variable is the factor that is not determined by the model in this case the annual tuition variable (the linear regression model factor)

2. substitute $30,000 into the linear regressions equation gives:

y = -0.91(30000) + 161 = -27139

This value tells us that when the annual tuition is $30,000 the average mid-career salary of graduates is predicted to be -$27,139

3. the slope if the regression is represented by the coefficient of the factor in the linear regression model. In this case, as the factor is x or the annual tuition, and the coefficient of this variable in the given example is -0.91 which in turn is the slope of the model.

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