reading a regression coefficient
Having done a linear regression on two variables: one for student reading test scores (ranging from about 300 to 600) and one for teacher experience (in years).
I obtained the result that the regression coefficient is 0.62 where reading test scores are the dependent variable and teacher experience is the independent variable. The R^2 score is 0.0127.
I think this means that student test scores go up 0.62 points for each year of experience a teacher has.
We have been asked to choose from the following four choices in interpreting the data: I think the answer is 1) because the teacher's experience is measured in years and the test scores are measured in points.
1) A one year increase in teacher experience increases the expected reading test score by 0.62 points.
2) A one percent increase in the teacher's experience increases the expected reading test score by 0.62 percent.
3) A one percent increase in teacher experience increases the expected arithmetic test score by 0.62 points.
4) A one year increase in teacher experience increases the expected arithmetic test score by 0.62 percent
Re: reading a regression coefficient
You are correct with your answer, but I would tcaution you that with an R^2 value like the one you have, the model is going to be pretty much useless.