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) )

Explanation:

Step1: Identify the line of best fit equation

The line of best fit is given by \( y \approx 1.14x + 3.805 \).

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

Substitute \( x = 30 \) into \( y = 1.14x + 3.805 \):

$$ y = 1.14(30) + 3.805 $$

Step3: Calculate the value of \( y \)

First, calculate \( 1.14 \times 30 \):

$$ 1.14 \times 30 = 34.2 $$

Then add \( 3.805 \):

$$ y = 34.2 + 3.805 = 38.005 \approx 38 $$

So when \( x = 30 \), \( y \approx 38 \), which corresponds to the point \( (30, 38) \).

Answer:

\( (30, 38) \)