Question

The graph highlights two other points on the trend line. Use them to find another equation for the trend line shown for this scatter point.
A) Y=82x+998
B) Y=247.7x-335
C) Y=743x-1647

Answer 1

Option A:

The equation for the trend line is y = 82x + 998.

Solution:

The points on the line are (2, 1162) and (11, 1900).

Here, $x_1=2, y_1=1162, x_2 = 11, y_2=1900$

Slope of the line:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{1900-1162}{11-2}$

$m=\frac{738}{9}$

m = 82

Point-slope formula:

$y-y_{1}=m\left(x-x_{1}\right)$

$y-1162=82\left(x-2\right)$

$y-1162=82x-164$

Add 1162 on both sides of the equation.

$y=82x+998$

The equation for the trend line is y = 82x + 998.

Hence Option A is the correct answer.