AnswersCommon Core Algebra I - MA3109 B-CR 4Q 0.25 credit due 1029 or will be grade of FAnalyzing Residuals

Analyzing Residuals Answers

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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
2
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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.
3

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.
4

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)
5

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
6

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
7

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
8

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.
9

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
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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