Six points are plotted on a scatterplot. The x-axis is labeled Height in feet, and the y-axis is labeled Residual Value.

Question

What scatterplot shape description would match the shape of the provided residual plot?

(1 point)
Responses

The scatterplot has five points that lie above the line of best fit and one below.
The scatterplot has five points that lie above the line of best fit and one below.

The scatterplot would have three points on the line of best fit, two below, and one above.
The scatterplot would have three points on the line of best fit, two below, and one above.

The scatterplot would have four points below the line of best fit and one above.
The scatterplot would have four points below the line of best fit and one above.

The scatterplot has five points that lie below the line of best fit and one above.

Answer 1

To determine the correct response regarding the shape of the scatterplot based on the description of the residuals, we first need to understand what a residual plot indicates.

A residual is the difference between the observed value and the predicted value (from the line of best fit). If residuals are positive (above zero), the actual values are higher than the predicted values, which means the corresponding points lie above the line of best fit. Conversely, if residuals are negative (below zero), the actual values are lower than the predicted values, indicating the points lie below the line of best fit.

Now, let's analyze the provided options:

1. The scatterplot has five points that lie above the line of best fit and one below. - This means five residuals are positive and one is negative.

2. The scatterplot would have three points on the line of best fit, two below, and one above. - This means three residuals are zero, two are negative, and one is positive.

3. The scatterplot would have four points below the line of best fit and one above. - This means four residuals are negative and one is positive.

4. The scatterplot has five points that lie below the line of best fit and one above. - This means five residuals are negative and one is positive.

Based on the options, if the residual plot shows a majority of positive residuals (points above the line) or negative residuals (points below the line), we align the scatterplot description accordingly.

Without having the actual visual of the residual plot, the best approach is to choose the option that logically aligns with the description of empirical data often seen in residual plots. Therefore, if the choice needs to be made, it would depend on the context of the residual plot's description you've observed.

If, for example, you noted more points below the line throughout the analysis, you might choose either option 3 or 4. If you noted more points above, options 1 or 2 would be more suitable.

Since we don't have the visual available here, please pick the option that closely matches your assessment or exact insights from the actual residual plot you're working with.