Given the table below, answer the following questions. Round all coefficients in the formulas, as well as the correlation coefficients to at least 4 decimal places.

(a) Use linear regression to find a linear function $y=b+mx$ that fits the data.
$y =$

(b) What is the correlation coefficient for the linear regression?
$r =$

(c) Use linear regression on the values $x$ and $\ln{y}$ to fit a function of the form $\ln{y} = b+mx$.
$\ln{y} =$

(d) What is the correlation coefficient for your answer to (c)?
$r =$

(e) Convert your answer in (c) to an exponential function $y=ae^{kx}$.
$y =$

(f) Compare the correlation coefficients. Graph the data and the two functions to assess which function fits best.
Which model fits best? ? Linear Exponential They are equally accurate