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Your question is a bit hard to understand, but I'll do my best. Sometimes taking the log of your independent variable will improve a linear fit. If you have two sets of data, X and Y, and they don't seem to fit a linear relationship, you may take the log of X, and the log of X may fit a linear relationship. Example: Suppose your data correctly fits the model y = a Xm. So plotting Y and X*, where X* is the log of X, and performing a linear regression, you obtain a slope and intercept. Your intercept is log(a). If you are using log base 10, then a (in the model) = 10intercept value and m is the slope of the semi-log line.

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Q: Is it true if you log the all values and make regression linear?
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