AnswersTN-Algebra ILine of Best Fit

Analyzing Residuals Answers

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Consider the plot created from the residuals of a line of best fit for a set of data.

Question illustration
A
Yes, the points have no pattern.
B
Yes, the points are evenly distributed about the x-axis.
C
No, the points are in a linear pattern.
D
No, the points are in a curved pattern.
2
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Find the residual values, and use the graphing calculator tool to make a residual plot.

Question illustration
A
No, the points are in a curved pattern.
B
No, the points are evenly distributed about the x-axis.
C
Yes, the points are in a linear pattern.
D
Yes, the points have no pattern.
3

Points and their residual values are shown in the table.

Question illustration
A
0.19
B
0.7
C
2
D
8
4

The approximate line of best fit for the given data points, y = −2x − 2, is shown on the graph.

Question illustration
A
–2
B
–1
C
1
D
2
5

Use the table to find the residual points. Which residual plot is the correct one for the data?

Question illustration
A
A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph.
Option A
B
A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph.
Option B
C
A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph.
Option C
D
A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph.
Option D
6

Which residual plot shows that the line of best fit is a good model?

A
A graph shows both axes unnumbered. Points show a downward trend.
Option A
B
A graph shows both axes unnumbered. Points show an upward then downward trend.
Option B
C
A graph shows both axes unnumbered. Points are scattered all over the graph.
Option C
D
A graph shows both axes unnumbered. Points show a downward then upward trend.
Option D
7

Shanti wrote the predicted values for a data set using the line of best fit y = 2.55x – 3.15. She computed two of the residual values.

Question illustration
A
a = 0.4 and b = –0.15
B
a = –0.4 and b = 0.15
C
a = 8.6 and b = 14.25
D
a = –8.6 and b = –14.25
8

Consider the table showing the given, predicted, and residual values for a data set.

Question illustration
A
(1, -1.6)
B
(2, 1.5)
C
(3, 4.5)
D
(4, -0.6)
9

Consider the table showing the given, predicted and residual values for a data set.

Question illustration
A
(1, –2.2)
B
(2, 1.5)
C
(3, 3.7)
D
(4, 0.1)
10

Use the graphing calculator tool to plot the residual points.(1, 0.86), (2, –0.25), (3, –1.66), (4, –2.34), (5, –4.1)

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

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Analyzing Residuals Answers — TN-Algebra I