6 7 8 9 f (x) 1121 805 626 813 967 (Source: Morowitz, Harold J. , “Hiding in the Hammond Report," Hospital Practice.) Here x is average humber of hours of sleep, and f(x) the death rate per 100 000 males. a) Construct a packward difference table for the data.
6 7 8 9 f (x) 1121 805 626 813 967 (Source: Morowitz, Harold J. , “Hiding in the Hammond Report," Hospital Practice.) Here x is average humber of hours of sleep, and f(x) the death rate per 100 000 males. a) Construct a packward difference table for the data.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 66E
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Question
In a study by Dr. Harold J. Morowitz of Yale University, data were gathered that showed the relationship between the death rate of men and the average number of hours per day that the men slept. These data are listed in the following table:
Transcribed Image Text:b) Use the backward
difference table
presented in a), along
with Newton's backward
difference formula, to
approximate f(10) with
a polynomial of degree
3, P3(x). start with
Xn = 9.
c) Estimate the error
in the approximation
in b).
Transcribed Image Text:6
7 8 9
f (x) 1121
805
626
813
967
(Source: Morowitz,
Harold J. , “Hiding in
the Hammond Report,"
Hospital Practice.)
Here x is average
number of hours of
sleep, and f(x) the
death rate per 100 000
males.
a) Construct a
backward difference
table for the data.
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