Reference no: EM13895095

Below is a partial multiple regression computer output based on a quadratic regression model to predict student enrollment at a local university. The dependent variable is the annual enrollment given in thousands of students, the independent variable X is the increase in tuition stated in thousands of dollars per year, and X2is the square of tuition increase given in squared thousands of dollars per year.

Interpret β0 (the y intercept) and β1(the β coefficient for the X variable). Does the parabola open upward or downward? Why?

Source SS df

Model 29.44 2

Error 59.66 15

Standard Error

Variable Coefficient (Sb)

Intercept 8.01 1.45

x -1.35 0.55

x2 0.46 0.43