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Analyzing Residuals Answers

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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.
2
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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)
3

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
4

Consider the graph of the line of best fit, y = 0.5x + 1, and the given data points.

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

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

Question illustration
A
Yes, because the points have no clear pattern.
B
No, the points have no pattern.
C
No, the points are in a linear pattern.
D
Yes, the points are in a curved pattern.
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

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.
8

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
9

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
10

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

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