The model is $y = 0.2493x - 423.4818$, which predicts the life span of a male born in the year $2010$ to be about $77.6$ years.
Work Step by Step
Based on the data in the table, a scatter plot is made. Since the data is distributed approximately linearly as seen in the scatter plot, a linear model is chosen. A linear regression equation is found using technology, which gives $m\approx0.2493$ and $b\approx-423.4818$ and thus the equation: $y = 0.2493x - 423.4818$ To predict life span, the year 2010 is then input into the equation as follows: $y = 0.2493(2010)- 423.4818=77.6112\approx77.6$