Chapter 2.5, Problem 26E

$C{O}_2$

emission The following table gives the millions of metric tons of carbon dioxide emission in the United States for selected years from $2010$ and projected to $2032$

Create linear function that models these data, with $x$ as the number of years past $2010$ and $y$ as the millions of metric tons of carbon dioxide emission

Find the models estimate for the $2024$ data point.

Find and interpret slope of the linear model

$\begin{array}{lllllll}\text{year}\hfill & \text{2010}\hfill & \text{2012}\hfill & \text{2014}\hfill & \text{2016}\hfill & \text{2018}\hfill & \text{2020}\hfill \\ {\text{CO}}_{\text{2}}\text{ Emission}\hfill & \text{338}\text{.5}\hfill & \text{364}\text{.5}\hfill & \text{396}\text{.1}\hfill & \text{425}\text{.8}\hfill & \text{453}\text{.1}\hfill & \text{498}\text{.4}\hfill \end{array}$

$\begin{array}{lllllll}\text{year}\hfill & \text{2022}\hfill & \text{2024}\hfill & \text{2026}\hfill & \text{2028}\hfill & \text{2030}\hfill & \text{2032}\hfill \\ {\text{CO}}_{\text{2}}\text{ Emission}\hfill & 556.2\hfill & 590.9\hfill & 629.7\hfill & 663.1\hfill & 701.1\hfill & 743.7\hfill \end{array}$