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0 answers
21 views

Interpreting log transformed variables in a regression [duplicate]

I am very confused about the interpretation of log transformed variables in a regression. For example, I have a log-level model with a B0=4.95 and B1=-1.07. So my model would be log(y)=4.95 - 1.07X. ...
mblume's user avatar
  • 101
0 votes
1 answer
59 views

Detrending and data transformation to logarithm can be done together?

I want to get the effect of bitcoin price changes on foreign currency price. The third variable is inflation, which is an explanatory variable. Should variables be detrended before regressing? Is it ...
user405402's user avatar
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0 answers
30 views

Interpretation of log-transformed (simple) regression models - confirmation requested

I am ashamed to admit I never questioned this while obtaining my bachelor's in statistics but it's coming up again in grad school and I'm now realizing that I've been using approximations for ...
Luke22's user avatar
  • 1
1 vote
1 answer
552 views

Interpretation of the coefficient of a dummy variable in a regression with log-transformed outcome

I want to interpret the models (2) Pool variable. It equals 1 if the house has a pool and 0 if not. The relation between the dependent variable and the Pool variable is a log-linear that means ∆y/y = ...
BlankerHans's user avatar
0 votes
1 answer
90 views

Log-log regression with log(1+x) and log(1+y)

I just read a paper where they used a log-log regression with log(1+x) as one of the independent variables and log(1+y) being the dependent variable. The only inference from this regression in the ...
Xdelta10's user avatar
3 votes
1 answer
128 views

Dummy variables in regression with log-transformed continous variables

I have a question dealing with logarithmic variables, log-sum and dummy variables in a multiple regression. First of all I’ve never worked with log-sums before. I have a model with y that is log-...
Diego's user avatar
  • 31
15 votes
3 answers
4k views

Interpreting log-log regression with log(1+x) as independent variable

Is interpreting log-log regression with log(1+x) as independent variable the same as having log(x) as independent variable? 1% increase in x results in beta% change in y? What is x has both negative ...
user359025's user avatar
0 votes
1 answer
711 views

X intercept of a log-log linear model in R using lm ()

A linear regression on dependent and predictor variable was run on simulated data after log transformation. ...
Rabin KC's user avatar
1 vote
2 answers
872 views

Interpret coefficient in log$_{10}$-linear model

I have a doubt. I had to normalize the errors transforming the dependent variable into $\log_{10},$ so I have an equation of this form: $$\log y = 2.49 - 0.0006X_1 + 0.0328X_2;$$ also the variable $...
Nelson quispetupac's user avatar
2 votes
0 answers
809 views

How to derive sales contribution in a log-log regression media mix model?

I am working on a media mix model to determine how different media channels impact sales. Since there is a non-linear relationship between sales and media spend, I needed to apply a log transformation ...
daisynorthwest's user avatar
0 votes
0 answers
153 views

How does the slope change when I add a constant to the logarithm in a linear regression?

I have a regression as follows: ln(y + 5) = A + B*ln(x + 5) The addition of the number 5 in both logarithms is done simply because there are negative numbers in both variables, but I would like to ...
Alberto Gonzalez Almuiña's user avatar
1 vote
0 answers
25 views

Transform regression model with all logged terms to 'unlogged' form [duplicate]

I have two independent variables to predict my independent variable. For both theoretical and practical reasons, it made sense to log all of the three variables. In R formula: ...
user3771195's user avatar
1 vote
0 answers
65 views

The interpretation of the economic significance in log-level models

Hi I have searched for many articles but still confused about the interpretation of the economic significance. Here is the result Ln(number of Employees)= -2.37 X Std of X= 0.09 How should I interpret ...
migo's user avatar
  • 11
0 votes
0 answers
172 views

How would you get absolute values from a multivariate log-log model?

I have a log-log model that looks something like this: $$ \ln (sales) = 8.15 + 0.0516\times \ln(digital) + 0.74\times \ln(tv) $$ I understand I can interpret the variables in terms of percentage ...
maishm's user avatar
  • 11
2 votes
1 answer
4k views

Interpreting coefficients in log-log model with dummy for elasticity

I'm running an analysis of two products, X and Y, and I'm particularly interested in understanding the elasticities. However, I'm struggling to interpret the results. I'm using a log-log model, and in ...
Cass's user avatar
  • 21

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