Analyzing Residuals Answers

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1
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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.
2
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What does a residual value of –0.8 mean in reference to the line of best fit?

A
The given point is 0.8 units above the line of best fit.
B
The given point is 0.8 units below the line of best fit.
C
The line of best fit is not appropriate to the data.
D
The line of best fit has a slope of 0.8.
3

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.
4

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
5

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)
6

Which table of values represents the residual plot?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Points and their residual values are shown in the table.

Question illustration
A
0.19
B
0.7
C
2
D
8
8

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)
9

Miguel wrote the predicted and residual values for a data set using the line of best fit y = 1.82x – 4.3. He left out two of the values.

Question illustration
A
a = 1.16 and b = 0.12
B
a = 1.16 and b = –0.12
C
a = 0.5 and b = 6.08
D
a = 0.5 and b = –6.08
10

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.

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