Analyzing Residuals Answers

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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
4

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

Question illustration
N
No, the points are in a curved pattern.
N
No, the points are evenly distributed about the x-axis.
Y
Yes, the points are in a linear pattern.
Y
Yes, the points have no pattern.
6

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
a
a = –0.4 and b = 0.15
a
a = 8.6 and b = 14.25
a
a = –8.6 and b = –14.25
7

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

Question illustration
Y
Yes, because the points have no clear pattern.
N
No, the points have no pattern.
N
No, the points are in a linear pattern.
Y
Yes, the points are in a curved pattern.
9

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)

Y
Yes, the points have no pattern.
Y
Yes, the points are evenly distributed about the x-axis.
N
No, the points are in a linear pattern.
N
No, the points are in a curved pattern.
13

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

T
The given point is 0.8 units above the line of best fit.
T
The given point is 0.8 units below the line of best fit.
T
The line of best fit is not appropriate to the data.
T
The line of best fit has a slope of 0.8.
16

Points and their residual values are shown in the table.

Question illustration
A
0.19
B
0.7
C
2
D
8
17

Kiley gathered the data in the table. She found the approximate line of best fit to be y = 1.6x – 4.

Question illustration
A
–1.8
B
–0.2
C
0.2
D
1.8
18

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.
19

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)

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