Complete the following questions to practice the skills you have learned in this lesson.
Using the following information, find the residual for each of the coordinate pairs, in 1 - 6.
A line of best fit for a data set is .
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-2.76
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0
-
0.32
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-0.2
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-0.1
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-2.76
-
0
-
0.32
-
-0.2
-
-0.1
-
-2.76
-
0
-
0.32
-
-0.2
-
-0.1
-
-2.76
-
0
-
0.32
-
-0.2
-
-0.1
-
-2.76
-
0
-
0.32
-
-0.2
-
-0.1
-
-2.76
-
0
-
0.32
-
-0.2
-
-0.1
7. In the scatter plot below, the length of fish and the age of the fish are shown. The residual for the fish that is 2 years old and 100 mm long is 8.06 mm.
What does this residual mean?
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The actual fish at 2 years old is about 8 mm shorter than the linear model estimates.
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The actual fish at 2 years old is about 8 mm longer than the linear model estimates.
Use the following information to answer 8 - 11.
Four athletes on a track team are comparing their personal bests in the 100-meter and 200-meter events. A table of their best times is shown below.
Athlete 100 m time (seconds) 200 m time (seconds) 1
12.95
26.68
2
13.81
29.48
3
14.66
28.11
4
14.88
30.93
The line of best fit has an equation of , where represents the 100-meter time and represents the 200-meter time.
- What is the residual for athlete number 1?
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-1.08
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-0.91
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0.91
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1.08
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0.42
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-0.42
- What is the residual for athlete number 2?
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-1.08
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-0.91
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0.91
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1.08
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0.42
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-0.42
- What is the residual for athlete number 3?
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-1.57
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-0.91
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0.91
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1.08
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0.42
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-0.42
- What is the residual for athlete number 4?
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-1.08
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-0.91
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0.91
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1.08
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0.42
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-0.42
12. The curb weight of a car is the weight of the car without luggage or passengers. The scatter plot below shows the curb weight, in pounds, of 5 cars and their fuel efficiency, in miles per gallon.
Will the residual for 25.33 be a positive or negative value?
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negative
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positive