Question

what is the correct value that represents the line of best fit for the data?
y = ___x + 6
-0.5
-1.8
0.5
1.8

Explanation:

Step1: Analyze the trend of data points

The data points show a decreasing trend (from left to right), so the slope of the line of best fit should be negative.

Step2: Eliminate positive - slope options

Options 0.5 and 1.8 are positive, so they can be eliminated.

Step3: Estimate the slope magnitude

The line of best fit does not have a very steep negative slope. The slope - 1.8 would imply a steeper negative trend than what is likely from a visual inspection of the scatter - plot (assuming a typical scatter - plot scale). A slope of - 0.5 is a more reasonable estimate for the line of best fit for the given data.

Answer:

-0.5