Question

what is the equation of the trend line for the scatter plot?
○ y = -0.7x+14
○ y=-0.7x-14
○ y = 0.7x - 14
○ y = 0.7x + 14

Explanation:

Step1: Identify slope - direction

The trend line is decreasing, so the slope \(m\) is negative.

Step2: Identify y - intercept

The line intersects the y - axis at \(y = 14\), so the y - intercept \(b=14\).

Step3: Estimate slope value

Using two points on the line (e.g., \((0,14)\) and \((10,7)\)), the slope \(m=\frac{7 - 14}{10-0}=\frac{- 7}{10}=-0.7\).
The equation of a line is \(y = mx + b\), substituting \(m=-0.7\) and \(b = 14\) gives \(y=-0.7x + 14\).

Answer:

y = -0.7x+14