The Bayley Scales of Infant Development yield scores on two indices – the Psychomotor Development Index (PDI) and the Mental Development Index (MDI) – that can be used to assess a child’s level of functioning at approximately one year of age. Among normal healthy infants, both indices have a mean value of 100. As part of a study investigating the development and neurologic status of children who had undergone reparative heart surgery during the first three months of life, the Bayley Scales were administered to a sample of one-year-old infants born with congenital heart failure. The children had been randomized to one of two different treatment groups, known as “circulatory arrest” and “low-flow bypass”. The groups differed in the specific way in which the reparative surgery was performed. Unlike circulatory arrest, low-flow bypass maintains continuous circulation through the brain; although it is felt to be preferable by some physicians, it also has its own associated risk of brain injury. PDI scores (data below) are saved under the variable name pdi, MDI scores under mdi, and indicators of treatment group under trtment. For this variable, 0 represents circulatory arrest and 1 is for low-flow bypass. a.) Calculate the 95% confidence interval for the regression slope using R. Interpret this confidence interval. How does the confidence interval for the slope that you computed compare with a 95% confidence interval for the difference in the mean MDI values for the two groups? trtment pdi mdi 0 80 74 1 118 124 1 122 109 0 98 78 0 98 91 0 111 130 1 111 119 0 82 115 1 99 112 0 86 119 1 92 100 0 122 115 1 98 117 0 78 108 0 92 115 0 86 112 1 90 82 0 92 142 0 104 102 1 92 130 0 105 103 1 98 93 1 80 96 1 50 50 1 87 112 0 67 106 1 80 93 0 76 110 1 98 117 1 98 96 1 92 126 0 80 91 1 98 106 0 86 91 1 92 117 0 86 91 1 105 86 1 115 118 0 105 98 1 118 117 1 92 115 0 92 130 0 70 91 1 117 115 0 80 96 0 80 96 1 98 98 1 98 117 0 117 103 1 92 122 0 63 96 1 115 105 0 71 100 1 98 122 0 111 117 0 111 122 0 63 103 1 98 109 1 98 91 1 115 120 1 98 96 1 80 70 1 92 86 0 86 81 0 111 100 1 110 102 0 98 83 0 82 97 1 93 102 1 99 97 0 86 115 1 92 103 0 86 103 0 60 78 0 130 114 1 122 109 1 98 107 0 80 89 1 92 130 0 80 112 1 122 112 1 98 83 0 98 122 1 70 103 0 60 115 1 98 119 1 92 119 0 105 115 1 104 100 0 75 58 0 87 102 0 110 115 0 93 131 0 63 86 0 104 110 1 104 112 0 98 98 0 111 103 0 111 117 1 124 122 1 114 118 0 98 70 1 92 109 0 105 112 1 86 122 1 86 119 1 92 117 0 70 56 1 120 122 0 105 115 0 99 89 1 99 107 1 111 109 1 98 98 1 93 120 0 98 106 0 98 98 1 93 107 0 77 109 1 105 103 0 105 103 1 87 97 0 105 140 0 99 94 0 117 106 0 92 109 0 134 131 0 86 100 1 75 89 0 87 82 1 115 107 1 80 91 1 109 111 1 80 112 0 105 103 1 52 78 0 92 108 1 105 109 0 66 93 0 92 100 1 110 97 0 87 100 0 87 112
The Bayley Scales of Infant Development yield scores on two indices – the Psychomotor Development Index (PDI) and the Mental Development Index (MDI) – that can be used to assess a child’s level of functioning at approximately one year of age. Among normal healthy infants, both indices have a mean value of 100. As part of a study investigating the development and neurologic status of children who had undergone reparative heart surgery during the first three months of life, the Bayley Scales were administered to a sample of one-year-old infants born with congenital heart failure. The children had been randomized to one of two different treatment groups, known as “circulatory arrest” and “low-flow bypass”. The groups differed in the specific way in which the reparative surgery was performed. Unlike circulatory arrest, low-flow bypass maintains continuous circulation through the brain; although it is felt to be preferable by some physicians, it also has its own associated risk of brain injury. PDI scores (data below) are saved under the variable name pdi, MDI scores under mdi, and indicators of treatment group under trtment. For this variable, 0 represents circulatory arrest and 1 is for low-flow bypass. a.) Calculate the 95% confidence interval for the regression slope using R. Interpret this confidence interval. How does the confidence interval for the slope that you computed compare with a 95% confidence interval for the difference in the mean MDI values for the two groups? trtment pdi mdi 0 80 74 1 118 124 1 122 109 0 98 78 0 98 91 0 111 130 1 111 119 0 82 115 1 99 112 0 86 119 1 92 100 0 122 115 1 98 117 0 78 108 0 92 115 0 86 112 1 90 82 0 92 142 0 104 102 1 92 130 0 105 103 1 98 93 1 80 96 1 50 50 1 87 112 0 67 106 1 80 93 0 76 110 1 98 117 1 98 96 1 92 126 0 80 91 1 98 106 0 86 91 1 92 117 0 86 91 1 105 86 1 115 118 0 105 98 1 118 117 1 92 115 0 92 130 0 70 91 1 117 115 0 80 96 0 80 96 1 98 98 1 98 117 0 117 103 1 92 122 0 63 96 1 115 105 0 71 100 1 98 122 0 111 117 0 111 122 0 63 103 1 98 109 1 98 91 1 115 120 1 98 96 1 80 70 1 92 86 0 86 81 0 111 100 1 110 102 0 98 83 0 82 97 1 93 102 1 99 97 0 86 115 1 92 103 0 86 103 0 60 78 0 130 114 1 122 109 1 98 107 0 80 89 1 92 130 0 80 112 1 122 112 1 98 83 0 98 122 1 70 103 0 60 115 1 98 119 1 92 119 0 105 115 1 104 100 0 75 58 0 87 102 0 110 115 0 93 131 0 63 86 0 104 110 1 104 112 0 98 98 0 111 103 0 111 117 1 124 122 1 114 118 0 98 70 1 92 109 0 105 112 1 86 122 1 86 119 1 92 117 0 70 56 1 120 122 0 105 115 0 99 89 1 99 107 1 111 109 1 98 98 1 93 120 0 98 106 0 98 98 1 93 107 0 77 109 1 105 103 0 105 103 1 87 97 0 105 140 0 99 94 0 117 106 0 92 109 0 134 131 0 86 100 1 75 89 0 87 82 1 115 107 1 80 91 1 109 111 1 80 112 0 105 103 1 52 78 0 92 108 1 105 109 0 66 93 0 92 100 1 110 97 0 87 100 0 87 112
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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The Bayley Scales of Infant Development yield scores on two indices – the Psychomotor Development Index (PDI) and the Mental Development Index (MDI) – that can be used to assess a child’s level of
The groups differed in the specific way in which the reparative surgery was performed. Unlike circulatory arrest, low-flow bypass maintains continuous circulation through the brain; although it is felt to be preferable by some physicians, it also has its own associated risk of brain injury.
PDI scores (data below) are saved under the variable name pdi, MDI scores under mdi, and indicators of treatment group under trtment. For this variable, 0 represents circulatory arrest and 1 is for low-flow bypass.
a.) Calculate the 95% confidence interval for the regression slope using R. Interpret this confidence interval. How does the confidence interval for the slope that you computed compare with a 95% confidence interval for the difference in the mean MDI values for the two groups?
trtment pdi mdi
0 80 74
1 118 124
1 122 109
0 98 78
0 98 91
0 111 130
1 111 119
0 82 115
1 99 112
0 86 119
1 92 100
0 122 115
1 98 117
0 78 108
0 92 115
0 86 112
1 90 82
0 92 142
0 104 102
1 92 130
0 105 103
1 98 93
1 80 96
1 50 50
1 87 112
0 67 106
1 80 93
0 76 110
1 98 117
1 98 96
1 92 126
0 80 91
1 98 106
0 86 91
1 92 117
0 86 91
1 105 86
1 115 118
0 105 98
1 118 117
1 92 115
0 92 130
0 70 91
1 117 115
0 80 96
0 80 96
1 98 98
1 98 117
0 117 103
1 92 122
0 63 96
1 115 105
0 71 100
1 98 122
0 111 117
0 111 122
0 63 103
1 98 109
1 98 91
1 115 120
1 98 96
1 80 70
1 92 86
0 86 81
0 111 100
1 110 102
0 98 83
0 82 97
1 93 102
1 99 97
0 86 115
1 92 103
0 86 103
0 60 78
0 130 114
1 122 109
1 98 107
0 80 89
1 92 130
0 80 112
1 122 112
1 98 83
0 98 122
1 70 103
0 60 115
1 98 119
1 92 119
0 105 115
1 104 100
0 75 58
0 87 102
0 110 115
0 93 131
0 63 86
0 104 110
1 104 112
0 98 98
0 111 103
0 111 117
1 124 122
1 114 118
0 98 70
1 92 109
0 105 112
1 86 122
1 86 119
1 92 117
0 70 56
1 120 122
0 105 115
0 99 89
1 99 107
1 111 109
1 98 98
1 93 120
0 98 106
0 98 98
1 93 107
0 77 109
1 105 103
0 105 103
1 87 97
0 105 140
0 99 94
0 117 106
0 92 109
0 134 131
0 86 100
1 75 89
0 87 82
1 115 107
1 80 91
1 109 111
1 80 112
0 105 103
1 52 78
0 92 108
1 105 109
0 66 93
0 92 100
1 110 97
0 87 100
0 87 112
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