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A professor obtains SAT scores and freshman GPA for a group of 15 college students with the hope that she can predict GPA using SAT scores. Which hypothesis test would be appropriate for this example

Respuesta :

The hypothesis test analyzes the null and alternative hypothesis of the

plausibility of a correlation between the SAT scores and GPA.

  • The hypothesis test that would be appropriate is a hypothesis test that checks that the slope of the regression line is not zero.

Reasons:

The data collected by the professor = The scores of the college students

The type of scores collected = SAT scores, and GPA scores

The test that would be appropriate for the example, is the  test for the

existence of a significant linear relationship between the input variable

(the SAT scores) and the output variable (the GPA)

The test is known as the test for the slope of the regression line

The equation of the regression line is; Y = B₀ + B₁·X

Where;

Y = The value of the GPA score (The dependent variable)

X = The value of the SAT score (The independent variable)

The test aims to check that the value the slope of the regression line is

much different from zero, such that there exist a correlation.

Learn more about hypothesis test for linear regression here:

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