Question

The admissions officer for Clearwater College developed the following estimated regression equation relating the final college GPA to the student's SAT mathematics score and high-school GPA.

ŷ= -1.41+ 0.0235x1 + 0.0048x2

where
x1= high-school grade point average
x2= SAT mathematics score final college grade point average

Required:
State the null hypothesis.

Answer 1

A null hypothesis illustrates that two variables in the hypothesis have no statistical significance.

The null hypothesis is: $\mathbf{H_0 : \beta = 0}$

The regression equation is given as:

$\mathbf{\bar y = -1.41 + 0.02351x_1 + 0.0048x_2}$

The variables are: $\mathbf{x_1}$ and $\mathbf{x_2}$

The null hypothesis states that, there is no statistical significance between $\mathbf{x_1}$ and $\mathbf{x_2}$.

This is represented as:

$\mathbf{H_0 : \beta = 0}$

Hence, the null hypothesis is: $\mathbf{H_0 : \beta = 0}$

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