Question

The scatter plot shows the data collected from a survey of 19 students, in which they were asked how many hours per week they study (x) and what their GPAs are (y).



Looking at the graph, which statements are TRUE?

(3 points)
Responses

The slope of the line of best fit will be positive and the y-intercept will also be positive.
The slope of the line of best fit will be positive and the y-intercept will also be positive.

Your GPA should be 0 when you study 0 hours each week.
Your GPA should be 0 when you study 0 hours each week.

We can use a deterministic interpretation to say that the student who studies 20 hours will make at least a 3.0 GPA.
We can use a deterministic interpretation to say that the student who studies 20 hours will make at least a 3.0 GPA.

The relationship is a positive linear relationship.
The relationship is a positive linear relationship.

It is a probabilistic interpretation to say that the more you study, the higher your GPA should be.
It is a probabilistic interpretation to say that the more you study, the higher your GPA should be.
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Answer 1

True:
- The slope of the line of best fit will be positive and the y‑intercept will also be positive.
(The scatter shows a positive association so the fitted line will rise to the right and its intercept falls above 0.)
- The relationship is a positive linear relationship.
(Points trend upward roughly along a line.)
- It is a probabilistic interpretation to say that the more you study, the higher your GPA should be.
(That statement expresses a tendency/expectation, not a guaranteed outcome.)

False:
- Your GPA should be 0 when you study 0 hours each week.
(An intercept from a model is an estimate, not a rule; also GPA need not be 0 at 0 study hours.)
- We can use a deterministic interpretation to say that the student who studies 20 hours will make at least a 3.0 GPA.
(Individual outcomes vary; regression gives probable/expected values, not guaranteed minimums.)