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A student in an intro stats course collects data at her university. She wants to

ID: 3205018 • Letter: A

Question

A student in an intro stats course collects data at her university. She wants to model the relationship between student jobs and GPA. She collects a random sample of students and asks each for their GPA and whether or not they have a job.She checks the conditions and make a linear modelwith GPA as response variable She finds that R-squared is 12 %. What is the correlation interpretation of this number.

A) 12.7% of student's GPA is explained by whether or student works

B) 12.7% of differences in works hours can be explained by changes in GPA

C) 12.7% of students hours worked can be explained by the GPA

D) 12.7% of changes in GPA can be explained by differences in student work hours

Explanation / Answer

R-squared is a statistical measure of how close the data are to the fittedregression line. It is also known as the coefficient of determination, or the coefficient of multiple determination for multiple regression. ... 0% indicates that the model explains none of the variability of the response data around its mean.

So answer is D.

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