Answer
Using a scatter plot, we can see that a logarithmic model would be appropriate.
$LE = -3623.5143 + 486.5866 \cdot ln(t)$
According to the model, the prediction of the life expectancy of a male born in 2010 is $~~77.4~years$
Work Step by Step
Using a scatter plot, we can see that a logarithmic model would be appropriate.
When we input the data from the table from $t = 1900$ to $t = 2000$, the logarithmic regression function returns the following equation:
$LE = -3623.5143 + 486.5866 \cdot ln(t)$
We can predict the life expectancy of a male born in 2010:
$LE = -3623.5143 + 486.5866 \cdot ln(t)$
$LE = -3623.5143 + 486.5866 \cdot ln(2010)$
$LE = 77.4$
According to the model, the prediction of the life expectancy of a male born in 2010 is $~~77.4~years$
