The Update to the Task Force Report on Blood Pressure Control in Children [12] reported the observed 90th percentile of SBP in single years of age from age 1 to 17 based on prior studies. The data for boys of average height are given in Table 11.18. Suppose we seek a more efficient way to display the data and choose linear regression to accomplish this task. a. Fit a regression line relating age to SBP, using the data in Table 11.18. b. Provide a 95% confidence interval for the parameters of the regression line. c. What is the predicted blood pressure for an average 13-year-old boy as estimated from the regression line? d. What is the standard error of the estimate in the previous problem (3c)? e. Answer Problems 3c and 3d for a 17-year-old boy. f. Use residual analysis to check the goodness of fit to your model. Does your model provide a good fit to the data? Why or why not? TABLE 11.18 90th percentile of SBP in boys ages 1-17 of average height Age (x) SBP (y) Age (x) SBP" (y) 1 99 10 115 2 102 11 117 105 12 120 4 107 13 122 108 14 125 110 15 127 7 111 16 130 112 17 132 114 90th percentile for each 1-year age group.

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I am mostly stuck on part D E and F. Would appreciate the help!

3. The Update to the Task Force Report on Blood Pressure Control in Children [12] reported the
observed 90th percentile of SBP in single years of age from age 1 to 17 based on prior studies.
The data for boys of average height are given in Table 11.18.
Suppose we seek a more efficient way to display the data and choose linear regression to
accomplish this task.
a. Fit a regression line relating age to SBP, using the data in Table 11.18.
b. Provide a 95% confidence interval for the parameters of the regression line.
c. What is the predicted blood pressure for an average 13-year-old boy as estimated from
the regression line?
d. What is the standard error of the estimate in the previous problem (3c)?
e. Answer Problems 3c and 3d for a 17-year-old boy.
f. Use residual analysis to check the goodness of fit to your model. Does your model
provide a good fit to the data? Why or why not?
TABLE 11.18 90th percentile of SBP in boys ages
1-17 of average height
Age (x)
SBP (y)
Age (x)
SBP (y)
1
99
10
115
102
11
117
3
105
12
120
4
107
13
122
108
14
125
6
110
15
127
111
16
130
8.
112
17
132
114
90th percentile for each 1-year age group.
Transcribed Image Text:3. The Update to the Task Force Report on Blood Pressure Control in Children [12] reported the observed 90th percentile of SBP in single years of age from age 1 to 17 based on prior studies. The data for boys of average height are given in Table 11.18. Suppose we seek a more efficient way to display the data and choose linear regression to accomplish this task. a. Fit a regression line relating age to SBP, using the data in Table 11.18. b. Provide a 95% confidence interval for the parameters of the regression line. c. What is the predicted blood pressure for an average 13-year-old boy as estimated from the regression line? d. What is the standard error of the estimate in the previous problem (3c)? e. Answer Problems 3c and 3d for a 17-year-old boy. f. Use residual analysis to check the goodness of fit to your model. Does your model provide a good fit to the data? Why or why not? TABLE 11.18 90th percentile of SBP in boys ages 1-17 of average height Age (x) SBP (y) Age (x) SBP (y) 1 99 10 115 102 11 117 3 105 12 120 4 107 13 122 108 14 125 6 110 15 127 111 16 130 8. 112 17 132 114 90th percentile for each 1-year age group.
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