Question

If the following data were linearized using logarithms, what would be theequation of the regression line? Round the slope and y-intercept of theregression line to three decimal places.X Y1 32 113 454 1825 731

Answer 1

To linearize the data provided, find the logarithm of the y-values provided in the table. This is shown in the image below:

The linear model is given in the form:

$y=ax+b$

where a is the slope and b is the intercept on the y-axis.

The value of y is now (log y).

A graphing calculator can be used to model the function. The parameters are shown below:

Therefore, the linear model will be:

$\begin{gathered} a\approx0.599 \\ b\approx-0.139 \\ \therefore \\ y=0.599x-0.139 \end{gathered}$