Final answer:
The slope of a regression line reflects how the GPA changes in relation to hours spent playing video games. The correct slope interpretation among the given options is that a student's GPA goes down approximately 3 points for every 10 hours spent playing video games, as stated in Option A.
Step-by-step explanation:
To determine the slope of the regression line, we need to understand its meaning in the context of this problem. The slope indicates how much the dependent variable, which in this case is a student's GPA, is predicted to change for every unit increase in the independent variable, the number of hours spent playing video games. In the options provided, we do not have exact numbers for the slope of the regression line. However, based on the description, we can determine which option makes sense given that the slope represents a decrease in GPA for every increase in hours playing video games.
Option A suggests that for every 10 hours of playing video games, a student's GPA decreases by 3 points. This might be a reasonable assumption if we are considering a GPA scale where the maximum is not fixed at 4.0, which is typical for high schools and colleges in the United States. In such scales, a 3-point decrease could correspond to a significant change in performance. Therefore, Option A is the most accurate description of the slopes included in the options. It also fits the general format of a slope description where the dependent variable changes by some amount for every unit increase in the independent variable.