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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

User Amrender Singh
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1 Answer

12 votes
12 votes

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}

If the following data were linearized using logarithms, what would be theequation-example-1
If the following data were linearized using logarithms, what would be theequation-example-2
User Flodel
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