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Aug 6th, 2022
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How to Revise result in LOG

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hello and welcome in this video where youre going to run a log-log regression and then interpret the regression coefficient estimate results from our log-log regression so yeah lets suppose that we start off with the following model and in this model the independent or explanatory variables education experience and age are all in long terms log terms and our response variable wage the independent variable is in log terms as well so lets say we you know we have this model I lets say we run we cut some data when we want a few regressions and we come up with the following these results you might get from something like our software our statistics software you might get regression results that look something like this so for our estimate of beta naught you have that intercept intercept here 1.5 for intercept of beta 1 we have a education coefficient here a 3.3 it actually looks a bit like this these are just created you know wait up myself so itll really give me a true intuition from

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0:05 5:21 So the log base b of m to the n. Power can be rewritten as n times log base b of m. So i usuallyMoreSo the log base b of m to the n. Power can be rewritten as n times log base b of m. So i usually think of this as taking that exponent and putting it on the front and multiplying.
1 Answer reciprocal. In this case the inverse of log(x) is 1/log(x) inverse function. In this case it refers to solving the equation log(y) = x for y in which case the inverse transformation is exp(x) assuming the log is base e . (In general, the solution is b^x if the log is of base b .
We know that the inverse of a log function is an exponential. So, we know that the inverse of f(x) = log subb(x) is f^-1(y) = b^y. If the base is e and we are dealing with the natural log, then the inverse of f(x) = ln(x) is f^-1(y) = e^y.
0:11 2:49 Simplifying Logarithmic Expressions - YouTube YouTube Start of suggested clip End of suggested clip So if y equals log base b of x. Thats equivalent to saying B to the y equals x because logarithmsMoreSo if y equals log base b of x. Thats equivalent to saying B to the y equals x because logarithms are inverses of Exponentials.
Log Level Regression A log-level regression is a model where the target variable is log-transformed but the predictor variables are not. To interpret the coefficients of a log-level regression, we must first exponentiate the coefficients of the independent variables with a base of e.
0:39 3:20 Rewriting Logs in Exponential Form - YouTube YouTube Start of suggested clip End of suggested clip Example this is log base b of x equals n. So the inverse of taking the log base b is to exponentiateMoreExample this is log base b of x equals n. So the inverse of taking the log base b is to exponentiate both sides using base B.
0:11 4:13 Change of Base Formula for Logarithms - YouTube YouTube Start of suggested clip End of suggested clip So for example okay so weve got log base 6 of 1/3. Im going to turn everything into just log baseMoreSo for example okay so weve got log base 6 of 1/3. Im going to turn everything into just log base 10 or logarithms. Just the the common logarithm. Since. Thats certainly one my calculator can do.
0:04 2:30 Converting an exponential equation to logarithmic - YouTube YouTube Start of suggested clip End of suggested clip But just say x equals e. No x equals. Four say a equals e. And then y equals x its kind of reallyMoreBut just say x equals e. No x equals. Four say a equals e. And then y equals x its kind of really confusing with the xs isnt. It. Lets do it another. Way. Notice how the x.

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