### Home > CC4 > Chapter 2 > Lesson 2.1.3 > Problem 2-31

The Smallville High School principal is concerned about his school’s Advanced Placement (AP) test scores. He wonders if there is a relationship between the students’ performance in class and their AP test scores, so he randomly selects a sample of ten students who took AP examinations and compares their final exam scores to their AP test scores. 2-31 HW eTool (Desmos) Homework Help ✎.

AP Score | 5 | 1 | 4 | 2 | 1 | 4 | 2 | 1 | 3 | 5 |

Final % | 97 | 70 | 84 | 66 | 62 | 79 | 73 | 63 | 82 | 90 |

Create a scatterplot on graph paper. Draw a line of best fit that represents the data. Refer to the Math Notes box in this lesson. Use your line of best fit to predict the final exam score of another Smallville High School student who scored a 3 on their AP test.

Complete the table in the eTool below to graph the results.

Click the link at right for the full version of the eTool: Int1 2-31 HW eTool

A line of best fit is a straight line that represents data on a scatterplot. It does not need to touch any of the data points, nor does it need to go through the origin.

Refer to the Math Notes box in this lesson. Answers will vary depending on which points you choose to use to write your equation.