Solve the Problem Find the Cubic Function of Best Fit to the Data

question 27

Short Answer

Solve the problem.
-The profits (in millions) for a company for 8 years was as follows: $$\begin{array} { c | c } \text { Year, } x & \text { Profits } \\\hline 1993,1 & 1.1 \\1994,2 & 1.7 \\1995,3 & 2.0 \\1996,4 & 1.4 \\1997,5 & 1.3 \\1998,6 & 1.5 \\1999,7 & 1.8 \\2000,8 & 2.1\end{array}$$ Find the cubic function of best fit to the data.

---

Definitions:

Methane

A colorless, odorless flammable gas that is the simplest alkane and a major component of natural gas, contributing significantly to the greenhouse effect.

Net Useful Energy Yield

The amount of energy that remains available for use after subtracting the energy expended in obtaining and converting it.

Oil

A fossil fuel formed from the decayed remains of ancient organisms, used primarily for energy production and as a raw material in manufacturing.

Natural Gas

A fossil fuel consisting mainly of methane, used for heating, electricity generation, and as fuel for vehicles, it's cleaner than other fossil fuels but still contributes to greenhouse gas emissions.