For a region, the percentage of adults 20-24 years of age how have not been married is given in the table below. The percentage of adults 20-24 years old who had never been married in 1960 was 37. Add this data point and use technology to find a linear model. What is the percentage of adults 20-24 years old in 2000 who have never been married, according to this model? Round your answer to the nearest integer.
A) 84%
B) 85%
C) 88%
D) 82%
E) 86%

Question

For a region, the percentage of adults 20-24 years of age how have not been married is given in the table below.  The percentage of adults 20-24 years old who had never been married in 1960 was 37. Add this data point and use technology to find a linear model. What is the percentage of adults 20-24 years old in 2000 who have never been married, according to this model? Round your answer to the nearest integer.
A) 84% 
B) 85% 
C) 88% 
D) 82% 
E) 86%

Quizplus · Accepted Answer

Using linear regression in a calculator or software, we obtain the following linear model:

y = 0.7036x - 6.6984

where y represents the percentage of 20-24 year olds never married and x represents the year (e.g. x=0 for 1960, x=40 for 2000).

To find the predicted percentage in 2000, we substitute x=40 into the equation:

y = 0.7036(40) - 6.6984 ≈ 82

Therefore, the answer is D) 82%.

For a Region, the Percentage of Adults 20-24 Years of Age