Suppose the Average Remaining Lifetime for Women in a Given

Multiple Choice

Suppose the average remaining lifetime for women in a given country is given in the following table. $$\begin{array} { | c | c | } \hline \text { Age } & \text { Years } \\\hline 5 & 72.4 \\\hline 25 & 53.1 \\\hline 30 & 49.5 \\\hline 35 & 44.5 \\\hline 40 & 39.2 \\\hline\end{array}$$ Find the linear regression equation for these data, whose parameters are rounded to the nearest hundredth, where x is the age, in years, and A is the remaining lifetime, in years. Use the regression equation to estimate the remaining lifetime for a 31-year old woman.

A) 42.29 years
B) 50.75 years
C) 46.99 years
D) 55.45 years
E) 52.63 years