Question

Find the residual values, and use the graphing calculator tool to make a residual plot. Does the residual plot show that the line of best fit is appropriate for the data?

Yes, the points have no pattern.
No, the points are evenly distributed about the x-axis.
No, the points are in a linear pattern.
Yes, the points are in a curved pattern.

Answer 1

No, the points are in a linear pattern.

Explanation:

Residual are computed for each point as follows:

Residual = Predicted value - Given value.

In the table attached, residuals can be seen.

In the plot attached, the residual plot is shown. The correlated line is not the best one because the residual plot shows a linear pattern. In a good correlation, the points in the residual plot are randomly dispersed around the horizontal axis.

Answer 2

Residual value = Observed value - predicted value

The completed table is shown below

Plotting the residual values against the x-axis we can see a pattern that is not random. The pattern is nearly forming a linear line. Because the pattern is not random, we cannot use the line best fit for the data

Correct answer: C