AnswersHigh School Math 2 ARelative Frequencies and Association

Analyzing Residuals Answers

14 verified answers
1
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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.
2
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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.
3

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
a
a = 1.16 and b = –0.12
a
a = 0.5 and b = 6.08
a
a = 0.5 and b = –6.08
4

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.
5

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.
6

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.
7

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

Question illustration
–
–2
–
–1
1
1
2
2
8

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
9

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

Question illustration
(
(1, -1.6)
(
(2, 1.5)
(
(3, 4.5)
(
(4, -0.6)
10

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)
11

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
12

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

Question illustration
–
–1.8
–
–0.2
0
0.2
1
1.8
13

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
14

Points and their residual values are shown in the table.

Question illustration
A
0.19
B
0.7
C
2
D
8

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