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 2. 7, negative 0. 9, 1. 1, 3. 2, 5. 4. The third column is labeled predicted with entries negative 2. 84, negative 0. 81, 1. 22, 3. 25, 5. 28. 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? No, the points are in a curved pattern. No, the points are evenly distributed about the x-axis. Yes, the points are in a linear pattern. Yes, the points have no pattern.

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MrRoyal MrRoyal · Answer 1 · 2021-12-21T04:28:15+01:00

The residual of a regression is the difference between the actual value and the predicted value

The true statement about the residual plot is (c) Yes, the points are in a linear pattern

The entries are given as:

x Given Predicted Residual

1 -2.7 -2.84

2 -0.9 -0.81

3 1.1 1.22

4 3.2 3.25

5 5.4 5.28

The residual of a line of best fit is calculated using:

[tex]Residual = Actual - Predicted[/tex]

Using the entry headings, the formula would be:

[tex]Residual = Given - Predicted[/tex]

So, the residuals of the 5 entries are:

[tex]Residual_1 = -2.7 - -2.84 =0.14[/tex]

[tex]Residual_2 = -0.9 - -0.81 =-0.09[/tex]

[tex]Residual_3 = 1.1 - 1.22 =-0.12[/tex]

[tex]Residual_4 = 3.2 - 3.25 =-0.05[/tex]

[tex]Residual_4 = 5.4 - 5.28 =0.12[/tex]

So, the entries become:

x Given Predicted Residual

1 -2.7 -2.84 0.14

2 -0.9 -0.81 -0.09

3 1.1 1.22 -0.12

4 3.2 3.25 -0.05

5 5.4 5.28 0.12

See attachment for the residual plot.

From the plot, we can see that the points are in a linear pattern.

Hence, the true statement about the residual plot is (c)