# Ln function in stata forex

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#### For information on Mata functions, see [M-4] intro.

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We simply transform the dependent variable and fit linear regression models like this:. Unfortunately, the predictions from our model are on a log scale, and most of us have trouble thinking in terms of log wages or log cholesterol. Below, I show you how to use Stata's margins command to interpret results from these models in the original scale. I'm also going to show you an alternative way to fit models with nonnegative, skewed dependent variables.

This dataset includes variables for hourly wage wage , current grade completed grade , and job tenure measured in years tenure. I would like to fit a linear regression model using grade and tenure as predictors of wage. We can fit a regression model for our transformed variable including grade , tenure , and the square of tenure. Note that I have used Stata's factor-variable notation to include tenure and the square of tenure.

The c. This margins command reports the average predicted log wage. Based on this model and assuming we have a random or otherwise representative sample, we expect that the average hourly log wage in the population is 1. However, I'm not sure if that's high or low because I'm not used to thinking on a log-wages scale.

It is tempting to simply exponentiate the predictions to convert them back to wages, but the reverse transformation results in a biased prediction see references Abrevaya []; Cameron and Trivedi []; Duan []; Wooldridge []. Let's assume that the errors from our model are normally distributed and independent of grade and tenure.

In this situation, we can remove the bias of the reverse transformation by including a function of the variance of the errors in our prediction,. We can use the square of the root mean squared error RMSE as an estimate of the error variance.

So if we wanted predictions of hourly wages for each individual, we could type. To interpret the results of our model on the wage scale, we will likely want to go beyond these individual-level predictions. Fortunately, we can use margins with the expresssion option to compute margins and estimate effects based on a transformation of predictions. In the expression option, we can refer to the linear prediction of log wage as predict xb. Our first instinct might be to use the same expression we used in our generate command above and estimate the expected average hourly wage by typing.

However, the standard error of our estimate will be incorrect. Because regress reports the RMSE but does not estimate its variance, the result of this margins command would include the RMSE as though it were a known value, measured without error.

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Your email address will not be published. Save my name, email, and website in this browser for the next time I comment. As an example, consider the following model: The last equation presents the dependent variable Y as a function of X however, we can see that the polynomial in the model is of second-order degree.

The graph displayed is: Which is a linear model. With the associated graph: As you can see, the curve provides estimates pretty decent of the structure of the data given different types of mathematical models. This package can be installed using: ssc install curvefit, replace. Please follow and like us:.

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