# Questions tagged [regression-coefficients]

The parameters of a regression model. Most commonly, the values by which the independent variables will be multiplied to get the predicted value of the dependent variable.

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### common trend test-coefficient plot

I'm doing the common trend test for DID, and want to use "coefplot" to make a coefficient plot, but I don't know how to show the last pre-treatment period(coefficient is zero) on the plot, since this ...
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### parameter estimate vs post-hoc in linear mixed effects models

I am fitting a linear mixed model with lme4 in R. The model has a single factor (des_days) with 4 levels (-1,1,14,48), and I am using random intercept and slopes. The model fit looks like this: ...
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### Panel and time fixed effects interpretation

I am trying to interpret coefficients in a fixed effects regression. When including panel fixed effects I obtain: depvar=23+0.51indepvar +e When including both panel and time fixed effects I get: ...
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### If I have significant linear and quadratic terms, can I interpret both of these results?

I would have thought there'd be an answer to this question on here already, but I've been unable to find it, so I apologize if this is a repost. If I have a regression model of the form ...
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### Dummy Variable Interpretation

I'm new to econometrics,but for my university project I have to interpret the results of this equation: \begin{align} \ln(bil.export)= b_0 + b_1 \ln(Dist)+ b_2 ln(pop)+b_3 ln(per.cap.GDP)+ b_4(...
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### How to select a proper model for my problem?

I need to calculate coefficients of a regression model using sklearn: X = ...
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### Linear regression with over 15 million datapoints with several factors

I want to use linear regression on a very large dataset with costs corresponding to about 15 million entries. For each of the 15 million entries I have several independent categorical variables. I ...
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### Interaction between Binary Predictors in Multiple Linear Regression?

I have made a model with continuous and categorical(binary) predictors, with the dependent variable being continuous. Can I create an interaction variable between 2 binary predictors and add it to ...
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### Comparing the correlation coefficients of two groups

In the study I am conducting, (Group A) the correlation coefficient between black & white imagery and retention is given by R1 and is significant. And (Group B) the correlation coefficient between ...
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### What is the intuition behind loss functions in regression? Can I create one? What rules should I follow?

My question arises after reading this link, which presents 7 methods of regression, we know that each of these methods is determined by a loss function, my question is What is the intuition behind ...
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### How to make illumination patterns?

I am performing illumination correction using regression methods, let's say polynomial method. If we use 3rd order polynomial in 2D we will have 10 coefficients to estimate. I manually chose these ...
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### Effect of scaling the dependent variable

I was wondering about this problem while I was running a normal regression. Assume that we have the standard regression setup with one dependent variable $Y$ and an independent variable $X$, and the ...
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### Converting from log-standardized units to ordinary units - challenge with interpreting correctly

I have a variable X that I first log (base e)-transformed say log_X and then standardized i.e., log_X_s = (log_X - mean(log_X))/sd(log_X). I'm trying to use log_X_s in a logistic regression model and ...
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### Why do we Compare Correlation Coefficient?

In the study I am conducting, (Group A) the correlation coefficient between black & white imagery and retention is given by R1 and is significant. And (Group B) the correlation coefficient between ...
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### How can I find a specific variable coefficient for an individual in a fixed effects model?

I have specified the following model in R using the plm package. ...
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### ANOVA vs regression output: what is the difference in interpretation of main effects and interaction terms [duplicate]

Could someone please clarify for me the difference in how interaction and main effects terms should be interpreted in ANOVA and regression? I understand that in regression, the coefficients for the ...
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### significance test of a coefficient of a log-log regression

let's say I have the following model log(y) ~ log(x1) + log(x2) and I want to test the if an increase of 1% in x1 will will ...
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### In regression, what is the limit for correlation between the dependent variable and those being regressed on it?

At what point does the correlation coefficient between two variables rule out the inclusion of one of those variables as a regressor on the other in multiple regression? Is between .6-.7 too high? ...
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### Multiple regression question

$H_0: B_0=B_1=B_2=B_3 ... =0$ $H_1: \text{ at least one is not equal to zero}$ I am doing a research project and I am lost trying to figure out this problem. I have negative coefficient, I have ...
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### rstan: Diagnostics of regression

I ran a simple normal regression in rstan with some informative priors. My data has heteroskedasticity and would like to fix the same. However, am new to bayesian regression and rstan. My questions ...
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### Computing R^2 given cov matrix and R^2 from regression on another parameter

Consider the linear regression model with design matrix $X = [x_1 \mid x_2 \mid \cdots\mid x_p] \in\mathbb R^{n\times p}$. Assume that $x^T_j 1_n = 0$, for $j = 1, \ldots , p$, that is, the columns of ...
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### Decrease in BIC value despite very low beta-coefficient

I used the Bayesian Information Criterion (BIC) to aide in multiple model selection. I want to predict the amount of phosphorus which is extracted by P-test A (DL-P) based on the amount that is ...