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).

To determine which statements about the scatter plot are TRUE, we can analyze each statement based on general principles of statistics and correlation. Since we don’t have access to the actual scatter plot, I'll evaluate the statements assuming a typical scenario of students' study hours correlating with GPAs:

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

   • This statement may or may not be true. It depends on the data points. A positive slope indicates a positive correlation between study hours and GPA; however, the y-intercept being positive relies on whether the data points imply that students who study 0 hours can achieve a positive GPA. This statement requires specific analysis of the graph.

2. The relationship is a positive linear relationship.

   • This statement could be true if the scatter plot shows that as study hours increase, GPAs also tend to increase. However, without the actual graph, we can’t confirm this.

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

   • This statement is not likely true. A deterministic interpretation implies a guaranteed outcome based on the input; in reality, while more study time may increase the likelihood of achieving a higher GPA, it does not guarantee a specific GPA.

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

   • This statement is likely true. It reflects a realistic relationship where more study typically correlates with higher GPA, even though it's not a guarantee.

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

   • This statement is generally not true. While it might seem reasonable to assume that there would be no GPA without studying, there could be students with GPAs due to other factors (such as prior knowledge, tests, or grading policies). The data points would need to support this conclusion.

Based on these evaluations, the most likely TRUE statement is:

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

The other statements either depend on specific graph data or are inaccurate based on general understanding.