Name: _____________________________________ Date: ___________________
Two Variable Statistics
Residuals and Residual Plots - Part 2
Mini Assessment
1. The Watsons have always kept a garden of Geometrees in their yard. The data
table and scatter plot below represent the number of years for their longest living
Geometree and how tall it has grown in feet.
Age of
Geometree
(years)
1
2
3
4
5
6
7
8
9
Height (ft)
9
12
14
15
17
18
19
19
21
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Section 10 Topic 6
Part A: Complete the table of residual values for the linear model of
𝑓(𝑥) = 1.3𝑥 + 9.2.
Age of
Geometree
Height
1 9 2 12 3 14 4 15 5 17 6 18 7 19 8 19 9 21 Predicted Value
Residual
Part B: Complete the table of residual values for the quadratic model of
𝑓 𝑥 = −0.11688𝑥 4 + 2.5355𝑥 + 7.0238.
Age of
Geometree
Height
1 9 2 12 3 14 4 15 5 17 6 18 7 19 8 19 9 21 Predicted Value
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Residual
Section 10 Topic 6
Part C: Graph the residuals of the linear model below.
Part D: Graph the residuals of the quadratic model below.
Part E: Which model is a better fit of the scatter plot? Justify your answer.
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Section 10 Topic 6