Smallville High School's 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. He randomly selects a sample of ten students who took AP examinations and compares their final exam scores to their AP test scores.

AP Score: 5, 1, 4, 2, 1, 4, 2, 1, 3, 5

Final Score %: 97, 70, 84, 66, 62, 79, 73, 63, 82, 90

Create an equation and graph using the points: (5, 97), (1, 70), (4, 84), (2, 66), (1, 62), (4, 79), (2, 73), (1, 63), (3, 82), and (5, 90). Use the equation of your line of best fit to predict the final exam score of another Smallville HS student who scored a 3 on their AP test.

To calculate the Linear Regression (ax+b): Press [STAT] to enter the statistics menu. Press the right arrow key to reach the CALC menu and then press 4: LinReg(ax+b). Ensure Xlist is set at L1, Ylist is set at L2 and Store RegEQ is set at Y1 by pressing [VARS] [→] 1:Function and 1:Y1.

franklindozza005 franklindozza005 · Answer 2 · 2024-09-25T15:02:47-04:00

The linear equation which models the data given and the predicted value is :

y = 10.2x + 52.6
83.2

Creating a linear graph

To create a linear equation and a graph, you can perform linear regression on the given data points (AP scores and final exam scores). The equation of the line of best fit will allow you to predict the final exam score for an AP score of 3.

First, let's calculate the equation of the line of best fit, often represented as :

y = mx + b,
where y is the final exam score and x is the AP score.

Using statistical software or a calculator, you can calculate the slope (m) and y-intercept (b) for the line of best fit. The equation would be represented in the form:

y = mx + b

Given the data points, the equation of the line of best fit is approximately:

y = 10.2x + 52.6

B.)

Now, let's use this equation to predict the final exam score for an AP score of 3:

x = 3

y = 10.2(3) + 52.6

y = 30.6 + 52.6

y = 83.2

So, based on the line of best fit, it is predicted that a student who scored 3 on their AP test is likely to score approximately 83.2 on their final exam.

Learn more on linear regression : https://brainly.com/question/30884929

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