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 <u>a hypothesis test that checks that the slope of the regression line is not zero</u>.
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 <u>the test for the slope of the regression line</u>
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:
brainly.com/question/13938204
