4.41. Consider the data on snow removal in Exercise 3.20. (a) Comment on any possible outliers in a scatter plot of the original variables. (b) Determine the power transformation hat(1), the makes the x, values approximately normal. Construct a Q-Q plot of the transformed observations. (c) Determine the power transformation hat(X), the makes the x, values approximately normal. Construct a Q-Q plot of the transformed observations (d) Determine the power transformation for approximate bivariate normality using (4-40). \table[[Table 3.2 Snow Data 1₂112.5, 13.7, 9.0, 24.4, 3.5, 26.1,],[14. Table 3.2 Snow Data x₁ 12.5 13.7 9.0 14.5 16.5 8.0 17.4 10.5 9.0 19.5 X₂ Xj X2 24.4 3.5 26.1 8.0 14.5 42.3 17.5 6.5 18.2 22.0 17,5 10.5 11.0 10.0 23.6 4.5 8.0 13.2 7.0 9.0 32.1 8.5 7.0 12.3 6.5 12.0 7.0 11.8 8.0 12.8 32.5 18.7 15.8 15.6 12.0 21.8 6.0 104 13.0 25.6

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4.41. Consider the data on snow removal
in Exercise 3.20. (a) Comment on any
possible outliers in a scatter plot of the
original variables. (b) Determine the power
transformation hat(1), the makes the x,
values approximately normal. Construct a
Q-Q plot of the transformed observations.
(c) Determine the power transformation
hat (1) the makes the.x₂ values
approximately normal. Construct a Q- Q
plot of the transformed observations (d)
Determine the power transformation for
approximate bivariate normality using
(4-40). \table[[Table 3.2 Snow Data
11. [12.5, 13.7,9.0, 24.4, 3.5, 26.1,],[14.
Table 3.2 Snow Data
XI
x2
X1
12.5 13.7 9.0
14.5 16.5
6.5
8.0 17.4 10.5
9.0
11.0
10.0
23.6 4.5
7.0
x₂
24.4
18.2
X1
x2
3.5 26.1
8.0 14.5
42.3
17.5
22.0 17,5
32.5 10.5
18.7 12.0
6.0
13.0
19.5
8.0 13.2
15.8
9.0 32.1 8.5
15.6
7.0
12.3
6.5
12.0
7.0
11.8 8.0 12.8
21.8
10.4
25.6
Transcribed Image Text:4.41. Consider the data on snow removal in Exercise 3.20. (a) Comment on any possible outliers in a scatter plot of the original variables. (b) Determine the power transformation hat(1), the makes the x, values approximately normal. Construct a Q-Q plot of the transformed observations. (c) Determine the power transformation hat (1) the makes the.x₂ values approximately normal. Construct a Q- Q plot of the transformed observations (d) Determine the power transformation for approximate bivariate normality using (4-40). \table[[Table 3.2 Snow Data 11. [12.5, 13.7,9.0, 24.4, 3.5, 26.1,],[14. Table 3.2 Snow Data XI x2 X1 12.5 13.7 9.0 14.5 16.5 6.5 8.0 17.4 10.5 9.0 11.0 10.0 23.6 4.5 7.0 x₂ 24.4 18.2 X1 x2 3.5 26.1 8.0 14.5 42.3 17.5 22.0 17,5 32.5 10.5 18.7 12.0 6.0 13.0 19.5 8.0 13.2 15.8 9.0 32.1 8.5 15.6 7.0 12.3 6.5 12.0 7.0 11.8 8.0 12.8 21.8 10.4 25.6
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