In a study examining the relationship between study hours and test scores, a linear regression line was fitted to the data. One student studied for 66 hours and scored 8282, while the average test score of all students was 7575. Which of the following best describes the unexplained variation for this student?

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Problem 26Multiple Choice

In a study examining the relationship between study hours and test scores, a linear regression line was fitted to the data. One student studied for $6$ hours and scored $82$ , while the average test score of all students was $75$ . Which of the following best describes the unexplained variation for this student?

The squared distance between the student’s predicted score and their actual score; $(y_{i} - {\hat{y}}_{i})^{2}$

The squared distance between the predicted score and the mean score; $({\hat{y}}_{i} - \overset{ˉ}{y})^{2}$

The squared distance between the actual score and the mean score; $(y_{i} - \overset{ˉ}{y})^{2}$

The difference between the student’s score and the regression slope

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