Question

trevor drew lines of best fit for two scatter plots, as shown.
two scatter plots with lines of best fit: line a (negative slope) and line b (positive slope), with points around them
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

Explanation:

Step1: Recall Line of Best Fit

A line of best fit should roughly balance the number of points above and below it, and follow the trend of the data.

Step2: Analyze Line A

For Line A (left graph), the data points show a negative trend. The line is placed such that it follows the downward trend, with points relatively balanced above and below.

Step3: Analyze Line B

For Line B (right graph), the data points show a positive trend. The line is placed such that it follows the upward trend, with points relatively balanced above and below.

Step4: Evaluate Options

Since both lines follow the trend of their respective data and balance points, both are well - placed lines of best fit.

Answer:

C. Both line A and line B are well - placed lines of best fit.