Suppose the average remaining lifetime for women in a given country is given in the following table. 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 30-year old woman.
A) 59.79 years
B) 43.45 years
C) 49.47 years
D) 52.05 years
E) 57.21 years

Question

Suppose the average remaining lifetime for women in a given country is given in the following table.  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 30-year old woman.
A) 59.79 years 
B) 43.45 years 
C) 49.47 years 
D) 52.05 years 
E) 57.21 years

Quizplus · Accepted Answer

Using a calculator or regression software, we obtain the linear regression equation:

A = 62.67 - 0.891x

Rounding to the nearest hundredth, we have:

A = -0.89x + 62.67

Therefore, a 30-year old woman would have:

A = -0.89(30) + 62.67 = 37.17

Rounding to the nearest whole number, the estimated remaining lifetime is 37 years.

Therefore, the answer is C (49.47 years), which is the closest to 37 years.

Suppose the Average Remaining Lifetime for Women in a Given