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 table and graph with linear regression equation y ≈ 1.14x + 3.805; r ≈ 0.946

Explanation:

Step1: Identify the line equation

The line of best fit has the equation \( y \approx 1.14x + 3.805 \).

Step2: Substitute \( x = 30 \) into the equation

Calculate \( y \) when \( x = 30 \):
\( y \approx 1.14(30) + 3.805 \)
\( y \approx 34.2 + 3.805 \)
\( y \approx 38.005 \)
This value is closest to 38, so the point should be \( (30, 38) \).

Answer:

(30, 38)