Transforming Data to Achieve Linearity
A student analyzing the population data shown in the table observes a nonlinear relationship between Year and Population. To linearize the relationship, the student applies a logarithmic transformation to the Population values. Which of the following statements provides the best evaluation of this approach?
| Year | Population (1000s) |
|---|---|
| 1980 | 44 |
| 1990 | 65 |
| 2000 | 101 |
| 2010 | 150 |
| 2020 | 230 |
A
They should have applied a square root transformation rather than a logarithmic one.
B
They failed to center the data around the mean before applying the transformation.
C
They transformed the dependent variable instead of the independent variable, thereby distorting the intended linear relationship.
D
They correctly applied the transformation to linearize the non‐linear relationship.
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