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 Yes Age (X) 15 26 10 9 15 20 18 11 8 20 No 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 2 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 5 6 7 8 9 10 Yes Age (X) 15 26 10 9 15 20 18 11 8 20 No 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 2 a leverage point? Child (Y) 113 96 83 84 102 100 105 57 121 86 100
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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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
@ N
3
4
5
6
7
8
9
10
Ⓒ Yes
Age (X)
15
O No
26
10
19
15
20
18
11
18
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
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 2 a leverage point?
86
100
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