# 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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### There are low variations in the explanatory variables

I am running a regression and find coefficients of my explanatory variables very interesting (they are dummy variables). When I informed that to my lecturer, he told me that there are not much ...
170 views

### Regression with log transformation of dependent variable that has negative values

I am working with a dataset that contains: a dependent variable (DV) taking both positive and negative values a binary independent variable (IV). And I'm interested in the following specification: ...
131 views

### Angles expressed in degrees of arc as regression variables

I have binary count data as a response variable in my logistic regression. The independent variables include, among others, two variables of inclination and orientation measurements, annotated in ...
329 views

### continuous vs categorical logistic regression for marks and admission

I have a list of marks scored by students in Science (X, between 0 to 100%) and whether they went to college to or not (Y). High marks in science showed a higher concentration of college admits and ...
831 views

### Prove Estimated Regression Coefficients are the same with or without an intercept term

I am mostly having trouble with this question in that I don't think I know where to start and I am not confident in my answer that I have at the moment. The answer I have currently is mostly just ...
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### Standard errors of regression coefficients in a Dummy Variable regression model

A dummy variable regression is equivalent to an ANOVA, and the beta coeffns are equal to the means of particular category with respect to the base category. However, I am unable to interpret the "...
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### Compare coefficients from two separate panel regressions in Stata

I am trying to compare the coefficients of two panel data regressions with the same dependent variable. What I am aiming at is the following: ...
796 views

### Interpreting main effect coefficient in different models

My interest lies in finding the "right" correlation between a continuous IV ($x$) and a continuous DV ($y$). At first I ran a simple linear regression: $$y=a+b_1 x$$ However, lots of other factors ...
198 views

### Interpreting regression coefficients of log(y+1) transformed responses

I have measurements $y_1$,...,$y_i$,...,$y_n$ taken from a set of replicates in a factorial designed experiment. In order to use a linear regression I define my response $z_i = log(y_i + 1)$. The ...
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### The variance of linear regression estimator $\beta_1$

Can we say $$\text{Var}(\beta_1) = \text{Var}\left(\frac{\sum (x_i-\bar x)y_i}{\sum (x_i- \bar x)^2}\right) = \left(\frac{\sum (x_i-\bar x)}{\sum (x_i- \bar x)^2}\right)^2 \text{Var}(y_i) \;\;??$$ ...
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### Positive correlations to dependent variable, but negative coefficients

First of all, sorry for the huge pictures, but I'm in desperate need of some input and help on the results following a study. I'm trying to interpret the results from my study, but I can't quite ...
68 views

### Updating regression solutions for a new regressor without the original dependent variable

Note: This question is analagous to the question I asked here except instead of a removing column, I am adding it. I am interested in a linear regression on the model; $Y= X\beta + \epsilon$ And I ...
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### How to interpret log-linear regression?

If we have the following general regression: $$ln(Y)=\beta_0+\beta_1 X_1$$ Then it can be interpreted as an increase of 1 unit in $X_1$ will increase $Y$ by $100 \times \beta_1\%$. But what if the ...
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### How to test if regression coefficient = 1 [duplicate]

I’m attempting to run a regression and test whether the slope is equal to 1. Most statistical packages only test of it's equal to zero. Is there a way to bypass this ? I’ve SPSS and minitab and can ...
544 views

### Interpretation of coefficient on categorical variable when all categories are included in the regression

I am familiar with how to interpret the regression coefficients on dummy categorical variables when one chooses a reference category by dropping it. However, how does one interpret the regression ...
351 views

### Interpreting this regression coefficient

Quick background: I am working on a political science project that involves analyzing the impact of different variables on the extent to which a candidate mentions other users when he or she tweets. ...
2k views

### Coefficient interpretation in multinomial logistic regression [closed]

I am not really good in statistics so please bear with me here :) I was reading an article regarding financial advisors in mergers and acquisition deals and couldn't quite understand how the authors ...
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### How to check for linear constraints of coefficients in logistic regression in R?

I have a logistic regression model with several variables. I want to test the hypothesis of, say $a \beta_i = b \beta_j$ for constants $a,b$. I know that this can be theoretically done with an $F$-...
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### How to interpret logistic regression with days of the week and months of the year as predictors together with continuous and binary predictors?

I am using logistic regression to predict electricity spike prices (price that exceeds a certain threshold). I directly use the following variables as my independent variables together: (a) demand/...
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### Coefficients for regression in levels from estimated first difference coefficients

I would like to know if there a simple way to compute coefficients for a regression in levels after having estimated a regression in first differences. Having estimated  y_t - y_{t-1} = a + b(...
277 views

### Looking for help with interpreting my OLS models

I have been busy building an explainatory regression model for a companies' social behavior. In the table below you find the variables, ordered by theme. The English...
170 views

### How to interpret an insignificant main effect that became significant at the presence of interaction effects in moderated regression analysis? [duplicate]

Possible Duplicate: What if interaction wipes out my direct effects in regression? I did hierarchical regression analysis on my data due to having interaction effects in my research model. All ...
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### How to deal with negative coefficients in logistic regression

I have 5 single factor regression models. Each has intuitive (positive) coefficients which is good. If I run multiple logistic regression one of the coefficients turns negative. If I run stepwise ...
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### How to determine if a (binary) variable has a statistically significant effect on a response variable?

To be more specific, assume the following scenario: A customer advertising for a job on your site wants to know whether buying an extra ad-product or not will increase the number of applicants. You ...
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### How to report negative binomial regression results from R

I have fit a negative binomial model in R, and would like to report the findings, but I'm unsure how (or if) I should convert the estimates to reportable coefficients. Here is my output: ...
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### Why do different negative binomial regression functions produce different coefficients, p-values

I have a dataset consisting of number of mutations per person. Covariates I think may be related are age and source of the DNA sample. I want to determine whether the disease the person has ...
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### getting rid of negative predictions in linear regression

I'm working on a linear regression formula for a forecasting model. My model requires non-negative predictions. The model works well when predictors have big values; however, I get negative ...
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### Interpreting intercept in multivariate linear regression when excluding some factors

This question may have already been asked, but I cannot find anything quite like what I am asking. Background and model I am using manyglm with a negative binomial distribution (from the package ...
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### How do you interpret a low coefficient yet statistically significant with a high R-squared?

Consider the data below. (Dependent Variable: Human Development Index (HDI)) ...
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### “Wrong Sign” On Regression Coefficients - Hierarchical Multiple Linear Regression

I am analyzing my data on the relationship between spirituality and negative emotional states (depression, anxiety, and stress) using a hierarchical multiple linear regression. Everything seemed to be ...
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### Interest rate control variable GARCH

I'm building a GARCH model which looks if analysts' reports affect the volatility of certain stocks. I was wondering if it would be logical to include the interest rate in my GARCH model as a sort of ...
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### Definitions of coefficients from Arima {forecast}

I'm trying to explain in detail step by step what my code does and I am stuck at explaining what the coefficients are in an Arima model and where they are from/what relevance they have. Could someone ...
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### Estimate linear regression using items randomly selected from an item pool

I am asking this question against the background of a linear regression with single predicted variable $Y$ and multiple predictors $X$. $X$ comes from a survey using an "item pool" which suggests that ...