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(1 mark) Why is working with the income in a log-scale a common practice in data analysis? Answer 1 Question 1A. Income is often left skewed, and through a log-transformation, the distribution of the log income is more symmetric.B. Log-transformation is useful because it always improves the accuracy of the model.C. Income is often positively skewed, and through a log-transformation, the distribution of the log income is more symmetric.D. Log-transformation makes the data look more linear.

Question

(1 mark) Why is working with the income in a log-scale a common practice in data analysis? Answer 1 Question 1A. Income is often left skewed, and through a log-transformation, the distribution of the log income is more symmetric.B. Log-transformation is useful because it always improves the accuracy of the model.C. Income is often positively skewed, and through a log-transformation, the distribution of the log income is more symmetric.D. Log-transformation makes the data look more linear.

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Solution

The correct answer is C. Income is often positively skewed, and through a log-transformation, the distribution of the log income is more symmetric.

This is a common practice in data analysis because many statistical techniques assume or perform better when the data is normally distributed. A log transformation can help to handle skewed data and make patterns in the data more interpretable. It also reduces the influence of outliers, as the transformation compresses the scale on which observations are measured.

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