Analyzing Residuals Answers

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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
a
a = –0.4 and b = 0.15
a
a = 8.6 and b = 14.25
a
a = –8.6 and b = –14.25
6

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
8

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.
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)

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.

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