Answer:
a) 435 average SAT score
b) 25
Step-by-step explanation:
We are given the following in the question:
State’s average SAT score(y') is the dependent variable and percentage of HS seniors(x) is the independent variable.
Slope, m = -2.5
y-intercept, c = 510
We can write the regression equation as:
[tex]y'(x) = mx + c\\y'(x) = -2.5x + 510[/tex]
Predicted SAT score when 30 percent of all high school seniors in Wisconsin take the SAT.
We put x = 30
[tex]y'(30) = -2.5(30) + 510 = 435[/tex]
Thus, the average SAT score would be 435.
Actual average SAT score = 460
Prediction Error =
[tex]=\sqrt{\dfrac{(435-460)^2}{1}} = 25[/tex]