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

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

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

Answer

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