The means and standard deviations are given in the data table. With a correlation of 0.826, calculate the slope and explain what the slope tell you in the context of this problem.   Calculate the intercept and explain what the intercept tell you in the context of this problem.   For the individual with dose = 2.02, what is the predicted AZT concentration and what is the residual?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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The means and standard deviations are given in the data table. With a correlation of 0.826, calculate the slope and explain what the slope tell you in the context of this problem.
 
Calculate the intercept and explain what the intercept tell you in the context of this problem.
 
For the individual with dose = 2.02, what is the predicted AZT concentration and what is the residual?
 
The kinetics of zidovudine in pregnant baboons was investigated in an effort to determine dosing regimens in pregnant women, with the goal to maintain AZT levels in the therapeutic
range to prevent HIV infection in children. As part of the study, n = 25 measurements of AZT concentration were made at various doses.
AZT conc. 0.169 0.178 0.206 0.391 0.387 0.333 0.349 0.437 0.428
Dose 0.67 0.86 0.96 0.6 0.94 1.12 1.4 1.17 1.35
AZT conc. 0.597 0.587 0.653 0.66 0.688 0.704 0.746
Dose 1.76 1.92 1.43 1.77 1.55 1.51 1.82
AZT conc. 0.549
Dose 2.5
0.666 0.759 0.806 0.83
2.5 2.02 2.12 2.5 2.5
0.897 0.99
2.5
0.797 0.875
1.91 1.89
mean s.t.d.
0.587 0.235
1.651 0.600
Transcribed Image Text:The kinetics of zidovudine in pregnant baboons was investigated in an effort to determine dosing regimens in pregnant women, with the goal to maintain AZT levels in the therapeutic range to prevent HIV infection in children. As part of the study, n = 25 measurements of AZT concentration were made at various doses. AZT conc. 0.169 0.178 0.206 0.391 0.387 0.333 0.349 0.437 0.428 Dose 0.67 0.86 0.96 0.6 0.94 1.12 1.4 1.17 1.35 AZT conc. 0.597 0.587 0.653 0.66 0.688 0.704 0.746 Dose 1.76 1.92 1.43 1.77 1.55 1.51 1.82 AZT conc. 0.549 Dose 2.5 0.666 0.759 0.806 0.83 2.5 2.02 2.12 2.5 2.5 0.897 0.99 2.5 0.797 0.875 1.91 1.89 mean s.t.d. 0.587 0.235 1.651 0.600
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