Question

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

Explanation:

To determine which residual plot shows a good line of best fit, we analyze the pattern of residuals:

Key Concept:

A residual plot indicates a good linear model when residuals are randomly scattered (no clear pattern, like curve, clustering, or trend) around the horizontal axis (residual = 0). If residuals form a curve (e.g., U - shape, increasing/decreasing trend), the model is not linear.

Analyzing the Plot (from the Image):

The residual plot in the image shows a curved pattern (residuals form a U - shape or follow a non - linear trend). For a good linear model, residuals should have no systematic pattern.

Correct Residual Plot (Typical Case):

A good residual plot has residuals randomly spread above and below the horizontal axis, with no obvious curve, cluster, or trend. For example, if there’s a plot where residuals are scattered randomly (no upward/downward trend, no curve), that’s the one.

Since the provided plot has a curved residual pattern (not random), the correct plot for a good model would be one with randomly scattered residuals (no pattern).

(Note: If this was a multiple - choice with options, the correct option would be the one with random residual scatter. For example, if options included a plot with residuals spread randomly, that’s the answer.)

If we assume the intended correct plot (based on standard residual analysis) has random scatter, the answer would correspond to that plot.

Answer:

(Assuming a typical correct option, e.g.,) The residual plot with residuals randomly scattered (no pattern) around the horizontal axis.

(If specific options were given, the answer would be the option with random residual scatter, e.g., "Option X: Residuals are randomly spread with no curve/trend".)