Suppose the systolic blood pressure for healthy children is modeled by p = Bo + B1 In w where is blood pressure in millimeters of mercury and w is weight in pounds. Find the least squares solution to this model using the following data and the associated Normal Equations: W 44 61 81 113 131 In w 3.78 4.11 4.39 4.73 4.88 91 98 103 110 112 Use your results to predict the blood pressure for a 100-pound healthy child. NOTE: Keep all computations accurate (rounded) to the thousandths place until the end... rounding early will cause significantly different results!

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 31EQ
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2. Suppose the systolic blood pressure for healthy children is modeled by p = B + B1 In w where
is blood pressure in millimeters of mercury and w is weight in pounds. Find the least squares
solution to this model using the following data and the associated Normal Equations:
W
44
61
81
113
131
In w
3.78
4.11
4.39
4.73
4.88
91
98
103
110
112
Use your results to predict the blood pressure for a 100-pound healthy child.
NOTE: Keep all computations accurate (rounded) to the thousandths place until the end...
rounding early will cause significantly different results!
Transcribed Image Text:2. Suppose the systolic blood pressure for healthy children is modeled by p = B + B1 In w where is blood pressure in millimeters of mercury and w is weight in pounds. Find the least squares solution to this model using the following data and the associated Normal Equations: W 44 61 81 113 131 In w 3.78 4.11 4.39 4.73 4.88 91 98 103 110 112 Use your results to predict the blood pressure for a 100-pound healthy child. NOTE: Keep all computations accurate (rounded) to the thousandths place until the end... rounding early will cause significantly different results!
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