Question

A statistics student wants to determine if there is a relationship between a student's number of absences, x, and their

grade point average (GPA), y. The given data lists the number of absences and GPAs for 15 randomly selected
students.
Number of
Absences
GPA
15 1 0
9
12
3
3
2.1 4.3 4.5 3.2 4.0 1.7 3.8 2.9
6
1
3.6
2 7
3.4
2.6
Using technology, the y-intercept is
O4.5, which means a student with no absences has a GPA of 4.5.
O 4.5, which means a student with no absences is predicted to have a GPA of 4.5.
O 3.79, which means a student with no absences is predicted to have a GPA of 3.79.
O 3.79, but it does not make sense to interpret the y-intercept in this context.
0 4
3.1
2.8
9 10
2.8
4.1

Answer 1

Answer: The correct answer is:

The y-intercept is 3.79, which means a student with no absences is predicted to have a GPA of 3.79.

Step-by-step explanation:

To determine the relationship between the number of absences and the GPA, the student can use linear regression analysis. The regression line can be obtained using software such as Excel or R. The y-intercept of the regression line represents the predicted value of the response variable (GPA) when the predictor variable (number of absences) is zero.

Using technology, the y-intercept for this data set is found to be 3.79. This means that a student with zero absences is predicted to have a GPA of 3.79. Therefore, the correct answer is that the y-intercept is 3.79 and it does make sense to interpret it in this context.

Step-by-step explanation: