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Question

A researcher is examining the relationship between the number of hours studied ( $X$ ) and the final exam score ( $Y$ ) of a group of students. After plotting the data on a scatter plot, the researcher observes a general upward trend. To investigate further, the researcher performs a linear regression analysis, which results in the equation $Y = 50 + 5 X$ . Which of the following is the best interpretation of this regression equation?

Accepted Answer

For every additional hour studied, the student's exam score increases by $X$ points, starting from a score of $Y$ if no hours are studied

Answer

A student who studies $X$ hours will score exactly $Y$ points on the exam

Answer

The relationship is weak because the exam score of $X$ is much larger than the change of $Y$ for each hour studied

Answer

The average exam score for all students is $X$