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1 vote
0 answers
72 views

Deriving the Exact Percentage Change Formula in Logarithmic Models

I have been studying the relationship between logarithmic changes and percentage changes in the context of regression analysis. I understand that when working with small changes, the change in the ...
Newbie's user avatar
  • 83
0 votes
1 answer
43 views

Dealing with 0's in loglog regression by using indicator functions I(x > 0)?

Assume we want to estimate the following model $y = e^{\beta_0} * x_1^{\beta_1} * x_2{\beta_3}$ which we can linearize into $\log(y) = \beta_0 + \beta_1 * \log x_1 + \beta_2 * \log x_2$ Assume that ...
richard baws's user avatar
0 votes
0 answers
30 views

loglog regression with 0's in IV's

Assume we have 2 predictors $X_1$ and $X_2$ and an outcome $Y$ that we wish to model with the following function $y = e^{\beta_0} * X_1 ^{\beta_1} * X_2^{\beta_2}$ Also assume that we have some priors ...
richard baws's user avatar
0 votes
0 answers
38 views

Interpretation of parameters in loglog-regression with scaled variables

Consider e.g the model $y = e^{\text{trend} + \text{seasonality}} \cdot \prod_{k \in \text{channels}} x_k^{b_k}$ where $i$ constrained $0 < b_k < 1$ (to capture diminishing marginal returns) ...
pete lewis's user avatar
0 votes
1 answer
75 views

interpretation of loglog regression

It is common econometric disciplines to model an baseline + incremental quantity due to treatment. E.g baseline sales + incremental sales(due to marketing). It is common to deploy loglog models to ...
pete lewis's user avatar
0 votes
0 answers
31 views

Log Transforming variables already in percentage [duplicate]

I'm running a regression analysis and I'd like to know if log transforming a percentage value is ok. My y-values are already in percentages and my x-values in absolute numbers. But I'd like to know by ...
Allan's user avatar
  • 1
0 votes
0 answers
74 views

E appearing in Regression table [duplicate]

I am trying to run a regression between oil price in the US over a 60 year period and REAL GDP. I have run a simple linear regression (I also do not know if this is appropriate or not--should I be ...
useromagh820'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
1 vote
0 answers
172 views

How to log transform a small percentage value?

My independent variable is interest rate, which is small positive variable(less than 1). When I log transform the values, they turn negative because the values are smaller than 1. What is the solution?...
Laiy's user avatar
  • 245
0 votes
1 answer
632 views

Transforming a natural log of a variable into the original variable

I am using a replication dataset for a research, and one variable (GDP per capita) is included in the dataset only as a natural logarithm. Is it possible to transform the ln(GDP per capita) back into ...
L.Gsn's user avatar
  • 11
0 votes
0 answers
58 views

Log-Log regression not giving me elasticity [duplicate]

Ive got a regression in the form log(y) = a +b1x1 + b2x1^2 + b3x2 + b4x3 + b5* log(x4). I've interpreted my coefficients as they should be interpreted.I figured out the quadratic and e^b3 and e^b4 are ...
user306393's user avatar
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
0 votes
1 answer
343 views

Solution for equation of log linear regression

Update: I would like to solve a log-linear equation and interpret the final result. I was noted that my question was not complete/unclear. Fine, now I took a dataset from Kaggle as the example to ...
almo's user avatar
  • 161
1 vote
0 answers
65 views

Converting coefficients from a linear model into percentages

I've got two different sets of regression models, one set is linear and the other log-log. The two models have the same independent variables but different dependent variables. I'm looking for a way ...
Orla's user avatar
  • 11
0 votes
0 answers
439 views

Interpretation of log ratio as dependent variable and independent variables

I am estimating two linear models. In the first, the outcome variable is a log ratio equal to log(measure at t/measure at t-1) and the independent variable is logged. In the second, the outcome ...
hans91's user avatar
  • 1

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