Question

Which of the following are feasible equations of a least squares regression line for the annual population change of a small country from the year 2000 to the year 2015? Select all that apply. Select all that apply:

yˆ=38,000+2500x

yˆ=38,000−3500x

yˆ=−38,000+2500x

yˆ=38,000−1500x

Answer 1

Generally, the population of a country increases with time.

Of the given options, only can be the feasible equations of a least squares regression line for the annual population change.

The explanations for why the other options are not feasible are as below:

The above equation indicates that as we progress from year 2000 to the year 2015, the population of the country decreases and when the year is 2011 ( becomes equal to 11), the value of population becomes negative, which is not feasible.

The above equation indicates that when the year is 2000 ( becomes equal to 0), the population of the country becomes negative (-38000) which is not feasible.

The above equation again indicates that as we progress from year 2000 to the year 2015, the population of the country decreases continously, which is not feasible.