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0:08 6:37 Suggested clip Log-Level Regression & Interpretation (What do the Regression YouTubeStart of suggested client of suggested clip Log-Level Regression & Interpretation (What do the Regression
The sign of a regression coefficient tells you whether there is a positive or negative correlation between each independent variable the dependent variable. A positive coefficient indicates that as the value of the independent variable increases, the mean of the dependent variable also tends to increase.
There are several reasons to log your variables in a regression. There are no regression assumptions that require your independent or dependent variables to be normal. However, if you have outliers in your dependent or independent variables, a log transformation could reduce the influence of those observations.
Another way to think about it is when taking a log of a dataset is transforming your model(s) to take advantage of statistical tools such as linear regression that improve on features that are normally distributed. A logarithm is the base of a positive number. For example, the base10 log of 100 is 2, because 102 = 100.
A positive coefficient indicates that as the value of the independent variable increases, the mean of the dependent variable also tends to increase. A negative coefficient suggests that as the independent variable increases, the dependent variable tends to decrease.
In regression with multiple independent variables, the coefficient tells you how much the dependent variable is expected to increase when that independent variable increases by one, holding all the other independent variables constant. Remember to keep in mind the units which your variables are measured in.
0:00 4:45 Suggested clip Reviews 7: How to interpret dummy variables and the dummy variable YouTubeStart of suggested client of suggested clip Reviews 7: How to interpret dummy variables and the dummy variable
The interpretation of using the logarithm of wages is that you are looking at wage gaps of a particular percentage, rather than of a particular dollar value. Previous empirical work in this area suggests that wage equations are most appropriately specified in logarithms.
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