Question

which residual plot shows that the line of best fit is a good model?

Answer 1

Answer:

The first one.

Step-by-step explanation:

In the first plot, the data are grouped somewhat tightly together in a shape that resembles a line.  This means a line of best fit will work.

In the second plot, the points seem to form an arch towards the middle; a line would not be a good fit for this data.

In the third plot, the data is too scattered to draw a best fit model.

In the fourth plot, the points seem to form a u-shape towards the middle; a line would not be a good fit for this data.

Answer 2

Ideally, we want the dot plots to cluster (or to 'group') close enough with each other to draw a line best fit.

Plot 1: The plots are close enough to each other we can draw a line best fit, as shown in the picture below

Plot 2 and Plot 3: We draw the line best fit following the trend of most dot plots but there are outliers. Outliers are the dot plots that are far away from the cluster near the line-best-fit