Question

Find the residual values, and use the graphing calculator tool to make a residual plot.

A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries negative 3.5, negative 2.9, negative 1.1, 2.2, 3.4. The third column is labeled predicted with entries negative 1.1, 2, 5.1, 8.2, 1.3. The fourth column is labeled residual value with all entries blank.
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

C

Explanation:

Answer 2

To find the residual values, we need to subtract the predicted values from the given values.

The residual values are:

-3.5 - (-1.1) = -2.4

-2.9 - 2 = -4.9

-1.1 - 5.1 = -6.2

2.2 - 8.2 = -6

3.4 - 1.3 = 2.1

The table with the residual values is:

| x | given | predicted | residual value |

|---|-------|-----------|----------------|

| 1 | -3.5 | -1.1 | -2.4 |

| 2 | -2.9 | 2 | -4.9 |

| 3 | -1.1 | 5.1 | -6.2 |

| 4 | 2.2 | 8.2 | -6 |

| 5 | 3.4 | 1.3 | 2.1 |

To create a residual plot, we plot the residual values on the y-axis and the given values on the x-axis.

Looking at the residual plot, we can see that the points have no pattern and are scattered randomly around the x-axis. Therefore, we can conclude that the line of best fit is appropriate for the data.

Answer: Yes, the points have no pattern.