estion The following table gives the age in years (2) and total cholesterol level in mg/ml (y) for 19 patients suffering from hyperlipoproteinaemia. Iy I 46 3.5 20 y 1.9 I y y z 52 4.0 30 2.7 57 4.5 25 3.0 28 2.9 36 3.8 22 2.1 43 3.8 57 4.1 33 3.0 22 2.5 63 4.6 40 3.2 48 4.2 28 2.3 49 4.0 52 4.3 Summary statistics for these data are Σz = 751, Σyi = 64.4, Szz = 3306.74, Szy=192.705, Syy = 12.698. imple lines ELY
estion The following table gives the age in years (2) and total cholesterol level in mg/ml (y) for 19 patients suffering from hyperlipoproteinaemia. Iy I 46 3.5 20 y 1.9 I y y z 52 4.0 30 2.7 57 4.5 25 3.0 28 2.9 36 3.8 22 2.1 43 3.8 57 4.1 33 3.0 22 2.5 63 4.6 40 3.2 48 4.2 28 2.3 49 4.0 52 4.3 Summary statistics for these data are Σz = 751, Σyi = 64.4, Szz = 3306.74, Szy=192.705, Syy = 12.698. imple lines ELY
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 2EA
Related questions
Question
question b) and c)
Transcribed Image Text:Question 1.
The following table gives the age in years (x) and total cholesterol level in mg/ml
(y) for 19 patients suffering from hyperlipoproteinaemia.
x
y
y
46 3.5 20 1.9 52
57 4.5 25 3.0 28
22 2.1 43
22 2.5 63 4.6 40
28 2.3 49 4.0 52 4.3
y
Y
4.0 30 2.7
PU
2.9 36 3.8
3.8 57 4.1 33 3.0
3.2 48 4.2
Summary statistics for these data are Σx = 751, Σyi = 64.4, Szz = 3306.74,
Szy = 192.705, Syy = 12.698.
lated
simple line Cert
fitted assur
(b) Derive the least squares estimators of a and 3 by minimising a suitable
function. Check that your solution does give a minimum.
(c) Hence find the equation of the fitted model for the cholesterol data.
on
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