QUESTION 1 A team of research physicians conducted a study to detemine the effect of health education on the utilization of health services for hypertension patients (Drug Topics, April 1993). Data collected for a sample of n = 282 new HMO enrollees with hypertension problems were used to fit the following model: E() = + fxı + Bn+ A + Ax4 + Bxs Where y = Annual health care expenditures (Dollars) XI = Age (years) [1 if female 0 if male if white X =
QUESTION 1 A team of research physicians conducted a study to detemine the effect of health education on the utilization of health services for hypertension patients (Drug Topics, April 1993). Data collected for a sample of n = 282 new HMO enrollees with hypertension problems were used to fit the following model: E() = + fxı + Bn+ A + Ax4 + Bxs Where y = Annual health care expenditures (Dollars) XI = Age (years) [1 if female 0 if male if white X =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:QUESTION 1
A team of research physicians conducted a study to detemine the effect of health
education on the utilization of health services for hypertension patients (Drug Topics,
April 1993). Data collected for a sample of n = 282 new HMO enrollees with
hypertension problems were used to fit the following model:
E(y) = B + Bixi + Px2 + Bxs + Baxa + Psxs
Where
y = Anmual health care expenditures (Dollars)
XI = Age (years)
(1 if female
%3D
if male
[1
X3 =
if white
o if nonwhite
X4 = Number of concomitant maintenance medications (Regimen)
1 if enrolled
X5 =
to
if not
The regression results are summarized in Table 1
Table 1
Variable
Beta Estimate
P-value for Testing Họ: Bi = 0
< 0.05
Intercept
Age (xi)
Gender (x2)
Race (x3)
Regimen (x4)
Health Education (xs)
64.82
1.05
<0.05
-10.53
Nonsignificant
Nonsignificant
<0.05
< 0.001
0.27
9.46
-92.97
F = 37.84 , R? = 0.4357
a.) Write the least squares prediction equation for annual health care expenditure (y).
b.) Interpret the estimates of fi and 84.
c.) Interpret the P-values shown in Table 1.
d.) Is the model adequate for estimating the annual health care expenditure?
Motivate your answer statistically. Use a = 0.05.
e.) Interpret the value of R2.
f.) Predict the annual health care expenditure of a 45 year old male white
hypertension patient who maintains three medications, but who has not enrolled
in a health care education program.
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