Mathematical Statistics and Data Analysis
3rd Edition
ISBN: 9781111793715
Author: John A. Rice
Publisher: Cengage Learning
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Chapter 3.8, Problem 19P
a.
To determine
Find
b.
To determine
Find
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The table shows the age-adjusted death rates per 100,000 citizens for heart disease in a certain country. Complete parts(a) through (c) below.
Year
Death Rate
2000
256.2
2002
239.4
2004
217.0
2006
211.8
2008
184.2
2010
177.1
2012
171.3
2014
165.0
(a) Find an exponential model of the form f(t)=y0b^t for these data, where t=0 corresponds to the year 2000. If you do not have suitable technology, use the first and last data points to find a function. If you have a graphing calculator or other suitable technology, use exponential regression to find a function.
f(t)=_ (_)^t (Round to two decimal places as needed.)
(b) Assuming the model remains accurate, estimate the death rate in 2020 and 2025. The death rate in 2020 will be:___ people per 100,000. (Round to one decimal place as needed.)
The death rate in 2025 will be:___ people per 100,000.
(Round to one decimal place as needed.)
(c) Use a graphing…
Suppose a new magazine initially sells 600 copies per month. Research indicates that a vigorous advertising campaign could increase sales by 40% each month if our market were unlimited. But research also indicates that magazine sales in our area are unlikely to exceed 2400 per month. Make a logistic model of projected magazine sales.
a) N = 600 / 1+3e^-0.336t
b) N = 2400 / 1+3e^-0.336t
c) N = 40 / 1+3e^-0.336t
d) N = 2400 / 1+40e^-0.336t
Chapter 3 Solutions
Mathematical Statistics and Data Analysis
Ch. 3.8 - Prob. 1PCh. 3.8 - Prob. 2PCh. 3.8 - Prob. 3PCh. 3.8 - Prob. 4PCh. 3.8 - Prob. 5PCh. 3.8 - Prob. 6PCh. 3.8 - Prob. 7PCh. 3.8 - Prob. 8PCh. 3.8 - Prob. 9PCh. 3.8 - Prob. 10P
Ch. 3.8 - Prob. 11PCh. 3.8 - Prob. 12PCh. 3.8 - Prob. 13PCh. 3.8 - Prob. 14PCh. 3.8 - Prob. 15PCh. 3.8 - Prob. 16PCh. 3.8 - Prob. 17PCh. 3.8 - Prob. 18PCh. 3.8 - Prob. 19PCh. 3.8 - Prob. 20PCh. 3.8 - Prob. 22PCh. 3.8 - Prob. 23PCh. 3.8 - Prob. 24PCh. 3.8 - Prob. 25PCh. 3.8 - Prob. 27PCh. 3.8 - Prob. 28PCh. 3.8 - Prob. 29PCh. 3.8 - Prob. 30PCh. 3.8 - Prob. 31PCh. 3.8 - Prob. 32PCh. 3.8 - Prob. 33PCh. 3.8 - Prob. 34PCh. 3.8 - Prob. 35PCh. 3.8 - Prob. 38PCh. 3.8 - Prob. 39PCh. 3.8 - Prob. 44PCh. 3.8 - Prob. 45PCh. 3.8 - Prob. 46PCh. 3.8 - Prob. 47PCh. 3.8 - Prob. 48PCh. 3.8 - Prob. 50PCh. 3.8 - Prob. 51PCh. 3.8 - Prob. 52PCh. 3.8 - Prob. 53PCh. 3.8 - Prob. 54PCh. 3.8 - Prob. 55PCh. 3.8 - Prob. 56PCh. 3.8 - Prob. 57PCh. 3.8 - Prob. 58PCh. 3.8 - Prob. 60PCh. 3.8 - Prob. 61PCh. 3.8 - Prob. 62PCh. 3.8 - Prob. 63PCh. 3.8 - Prob. 64PCh. 3.8 - Prob. 65PCh. 3.8 - Prob. 66PCh. 3.8 - Prob. 67PCh. 3.8 - Prob. 68PCh. 3.8 - Prob. 69PCh. 3.8 - Prob. 70PCh. 3.8 - Prob. 71PCh. 3.8 - Prob. 72PCh. 3.8 - Prob. 73PCh. 3.8 - Prob. 74PCh. 3.8 - Prob. 75PCh. 3.8 - Prob. 76PCh. 3.8 - Prob. 77PCh. 3.8 - Prob. 78PCh. 3.8 - Prob. 79PCh. 3.8 - Prob. 80PCh. 3.8 - Prob. 81P
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