Question

warm - up selecting the best line
each of the four scatter plots below, shows a set of data, a solid line, and a dashed line.
which of the lines is the best fit for the data in each scatter plot? explain your reasoning.
1
2

Explanation:

1. For the first scatter - plot:

• A line of best fit should be such that the data points are evenly distributed around the line.
• The dashed line has more data points evenly distributed around it compared to the solid line. The solid line seems to have most of the data points above it for the lower \(x\) - values and below it for the higher \(x\) - values.

1. For the second scatter - plot:

• The dashed line is closer to more data points. The solid line has some data points that are relatively far from it, while the dashed line follows the general trend of the data points more closely.

Answer:

1. The dashed line is the best - fit line.
2. The dashed line is the best - fit line.