To accurately determine the best match for the description of a residual plot based on the provided information, we typically interpret the residuals as the differences between the observed and predicted values of the dependent variable (in this case, Points Scored) for a given set of independent variable values (Minutes Played).
In a residual plot, residuals are represented vertically where:
- Dots below the x-axis indicate that the observed values are less than the predicted values (negative residuals).
- Dots on the x-axis indicate that the observed values are equal to the predicted values (zero residuals).
- Dots above the x-axis indicate that the observed values are greater than the predicted values (positive residuals).
Given the potential options in your question, if we had to choose the best match, “a residual plot with 3 dots below the x-axis, 3 dots on the x-axis, and 4 dots above the x-axis” seems reasonable as it creates a balance of residuals indicating some fit of the model while still showing some deviations both below and above the expected values.
If you have specific numerical data or patterns from the scatterplot, I can give a more precise answer, but based on your descriptions, this would be a suitable choice.