The average new car cost (in dollars) from 2002 to 2018 is given in the table.

(a) Find a linear equation for the average new car cost in terms of t, the number of years since 2000, using the data for 2012 and 2018.
(b) Repeat part (a), using the data for 2014 and 2018.
(c) Find the equation of the least squares line using all the data.
(d) Use a graphing calculator to plot the data and the three lines from parts (a)–(c).
(e) Calculate the correlation coefficient.

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Year Cost 2012 30,581 2013 31,849 2014 32,362 2015 33,103 2016 34,221 2017 34,335 2018 35,249