select the correct answer. trevor drew lines of best fit for two scatter plots, as shown. which statement…

select the correct answer. trevor drew lines of best fit for two scatter plots, as shown. which statement describes the placement of the lines trevor drew? a. only line a is a well - placed line of best fit. b. only line b is a well - placed line of best fit. c. both line a and line b are well - placed lines of best fit. d. neither line a nor line b is a well - placed line of best fit.
Answer
Explanation:
Step1: Recall line - of - best - fit concept
A line of best fit should be as close as possible to all the data points in a scatter - plot, minimizing the sum of the squared vertical distances from the points to the line.
Step2: Analyze Line A
Line A appears to be close to most of the data points in its scatter - plot, representing the general trend of the data well.
Step3: Analyze Line B
Line B does not seem to represent the general trend of the data points in its scatter - plot well. There are several points that are far from the line and the line does not capture the overall pattern of the data.
Answer:
A. Only line A is a well - placed line of best fit.