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Chapter 12: Q. 10 (page 797)

We record data on the population of a particular country from 1960to 2010. A scatterplot reveals a clear curved relationship between population and year. However, a different scatterplot reveals a strong linear relationship between the logarithm (base 10) of the population and the year. The least-squares regression line for the transformed data is,

log ( population) =-13.5+0.01(years).

Based on this equation, the population of the country in the year 2020 should be about

(a)6.7

(b) 812

(c) 5,000,000

(d) 6,700,000

(e) 8,120,000.

Short Answer

Expert verified

The population of the country in the 2020 should be about5,000,000. The correct option is (c).

Step by step solution

01

Given Information

The population of the country in the year 2020 should be about log (population)=-13.5+0.01.

02

Explanation

Putting the year with 2020 :

log (population) =-13.5+0.01(2020)

=6.7

Taking the exponential

Population =106.7

Evaluate =5011872

=5000000

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