Does the age at which a child begins to talk predict later score on a test of mental ability? A study of the development of young children recorded the age in months at which each of 21 children spoke their first word and their Gesell Adaptive Score, the result of an aptitude test taken much later. The data appear in the following table. Child 1 2 3 4 LO 5 6 7 8 9 10 No Age (X) 15 26 10 9 15 20 18 Yes 11 8 20 Score (Y) 95 71 83 91 102 87 93 100 104 94 Child 11 12 13 14 15 16 17 18 19 20 21 Age (X) 7 9 10 11 11 10 12 42 17 11 10 Compute the leverage values for these data. Generally, if the leverage of the ith point exceeds twice the average size of all the leverages, the ith point is called a leverage point. Based on the criterion above, is Child 18 a leverage point? Child (Y) 113 96 83 84 102 100 105 57 121 86 100
Does the age at which a child begins to talk predict later score on a test of mental ability? A study of the development of young children recorded the age in months at which each of 21 children spoke their first word and their Gesell Adaptive Score, the result of an aptitude test taken much later. The data appear in the following table. Child 1 2 3 4 LO 5 6 7 8 9 10 No Age (X) 15 26 10 9 15 20 18 Yes 11 8 20 Score (Y) 95 71 83 91 102 87 93 100 104 94 Child 11 12 13 14 15 16 17 18 19 20 21 Age (X) 7 9 10 11 11 10 12 42 17 11 10 Compute the leverage values for these data. Generally, if the leverage of the ith point exceeds twice the average size of all the leverages, the ith point is called a leverage point. Based on the criterion above, is Child 18 a leverage point? Child (Y) 113 96 83 84 102 100 105 57 121 86 100
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Does the age at which a child begins to talk predict later score on a test of mental ability? A study of the
development of young children recorded the age in months at which each of 21 children spoke their first word
and their Gesell Adaptive Score, the result of an aptitude test taken much later. The data appear in the following
table.
Child
1
2
3
4
5
6
7
8
9
10
O No
Age (X)
15
26
10
9
Ⓒ Yes
15
20
18
11
8
20
Score (Y)
95
71
83
91
102
87
93
100
104
94
Child
11
12
13
14
15
16
17
18
19
20
21
Age (X)
7
9
10
11
11
10
12
42
17
11
10
Child (Y)
113
96
83
84
102
100
105
57
121
86
Compute the leverage values for these data. Generally, if the leverage of the ith point exceeds twice the average
size of all the leverages, the ith point is called a leverage point.
Based on the criterion above, is Child 18 a leverage point?
100
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