Question

a line of best fit is drawn for the set of points shown on the graph. which point is an approximate extrapolation for x = 30 from the line of best fit? (23, 30) (30, 38) (44, 30) (30, 72) data x y x 5 8.9 x 6 11.4 x 8 13.6 x 8 14 x 10 15.3 x 11 12.25 x 14 22.1 x 15 21.8 x 16 20.8 x 18 24.5 linear regression y ≈ 1.14x + 3.806; r ≈ 0.946 -1 ≤ x ≤ 19.3 -1 ≤ y ≤ 26 resize window to fit data window

Explanation:

Step1: Identify the regression equation

The line - of - best - fit equation is $y\approx1.14x + 3.806$.

Step2: Substitute $x = 30$ into the equation

$y\approx1.14\times30+3.806$.
First, calculate $1.14\times30 = 34.2$.
Then, $y\approx34.2+3.806=38.006\approx38$.

Answer:

B. $(30,38)$