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Expert-verified Found in: Page 797 ### The Practice of Statistics for AP

Book edition 4th
Author(s) David Moore,Daren Starnes,Dan Yates
Pages 809 pages
ISBN 9781319113339 # We record data on the population of a particular country from $1960$ to $2010$. 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) $8,120,000$.

The population of the country in the 2020 should be about $5,000,000$. The correct option is (c).

See the step by step solution

## Step 1: Given Information

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

## Step 2: Explanation

Putting the year with 2020 :

log (population) $=-13.5+0.01\left(2020\right)$

$=6.7$

Taking the exponential

Population $={10}^{6.7}$

Evaluate $=5011872$

$=5000000$ ### Want to see more solutions like these? 