Question

The correlation of SAT scores and grade point averages (GPAs) fora random sample of high school students is represented by the scatterplot below. 2400 2200 2000 1600 1600 1400 SAT Score 1200 1000 BOO 600 400 200 0 0 10 20 30 40 50 60 70 80 90 100 High School GPA The approximate line of best fit is given by the equation y = 40x- 1800. Based on this trend, which of the following best predicts the SAT score for a high school student with a GPA of 95?

Answer 1

The best predicted SAT score is;

`2000`

Step-by-step explanation:

`2000`

Step-by-step explanation:

Given that the line of best fit is represented by the equation;

`y=40x-1800`

Where;

y is the SAT score

and x is the GPA.

So, for a student with GPA of 95, the SAT score can be predicted using the equation of the line of best fit;

`\begin{gathered} y=40x-1800 \\ y=40(95)-1800 \\ y=3800-1800 \\ y=2,000 \end{gathered}`

The best predicted SAT score is;

`2000`