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 calculator​ (or trial and​ error) to determine the first full year in which the death rate will be below 100.   The first full year in which the death rate will be below 100 is:___

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.