The table below shows the average annual cost of health insurance for a single individual, from 1999 to 2019, according to the Kaiser Family Foundation. Year Cost
1999 $2,196
2000 $2,471
2001 $2,689
2002 $3,083
2003 $3,383
2004 $3,695
2005 $4,024
2006 $4,242
2007 $4,479
2008 $4,704
2009 $4,824
2010 $5,049
2011 $5,429
2012 $5,615
2013 $5,884
2014 $6,025
2015 $6,251
2016 $6,196
2017 $6,435
2017 $6,896
2019 $7,186

(a) Using only the data from the first and last years, build a linear model to describe the cost of individual health insurance from 1999 onward. Use t to represent years after 1999 (treating 1999 as year 0).

Pt =

(b) Using this linear model, predict the cost of insurance in 2030.

$

(c) = According to this model, when do you expect the cost of individual insurance to reach $12,000? Give your answer as a calendar year (ex: 2020).

During the year

(d) Using a calculator or spreadsheet program, build a linear regression model to describe the cost of individual insurance from 1999 onward. Use t to represent years after 1999 (treating 1999 as year 0), and round the values of
P0 and d to the nearest dollar.

Pt=

(e) Using the regression model, predict the cost of insurance in 2030.

$

(f) According to the regression model, when do you expect the cost of individual insurance to reach $12,000? Give your answer as a calendar year (ex: 2020).

During the year