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A simple linear regression analysis was conducted to predict the Exam 3 score of students in...

A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 score.

The analysis yielded the following results:
y-hat = 50.57+0.4845x.

The range of exam scores for both tests was about 30 points to 102 points. Which of the following is the best description of the y-intercept of the line(if appropriate)?

Group of answer choices

When the exam 1 grade increases by 1 point, the exam 3 grade increases by 0.4845.

When the exam 1 grade increases by 1 point, the exam 3 grade increases by 50.57.

The expected Exam 3 score for someone that made a 0 on Exam 1 is a 50.57.

Should not be interpreted.

math   Statistics-And-Probability   
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Answer #1

y-hat = 50.57+0.4845x. (This is the given regression equation)

y intercept is 50.57

We know that the y intercept is the value of y when x is 0, i.e. when the score on exam 1 is 0

So, y intercept is the exam 3 score for a student who made a score of 0 on exam 1.

option C is correct

The expected Exam 3 score for someone that made a 0 on Exam 1 is a 50.57.

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