Analyzing Residuals Answers

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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
2
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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.
3

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
4

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.
5

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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