Below Is a Partial Multiple Regression Computer Output Based on a Quadratic

question 91

Essay

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 X² is the square of tuition increase given in squared thousands of dollars per year.
Interpret $\beta$ ₀ (the y intercept)and $\beta$ ₁ (the $\beta$ coefficient for the X variable).Does the parabola open upward or downward? Why?

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Definitions:

Independent

Not influenced or controlled by others; in statistics, refers to variables that are not related or do not affect each other.

Marginal Probability

The probability of an event occurring, disregarding all other variables or outcomes in a probability distribution.

E(XY)

The expected value of the product of two random variables X and Y, indicating their joint mean over all pairs of outcomes.

Marginal Probability

The probability of an event occurring, regardless of the outcomes of other variables; it is calculated by summing the probabilities of the event across all values of the other variables.