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# 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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### Do demographic variables need to be standardized when population size is included as a covariate?

I am doing a fixed effects regression where the dependent variable is number of people in an treatment facility in a given state/year. We are also including a population size control variable. I am ...
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### Why doesn't using an interaction/effect modification term give the same results as subsetting the data?

I'm interested in the effect of continuous variable A at the two different levels of categorical variable B. I had thought that the following approach would give the same estimates for the effect of A:...
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### Knowing $R^2$ and sample size

So basically we know $R^2$ and the sample size. How to use these two conditions to find out the largest number of slope coefficient k? Plus in the hint, $K$ is supposed to be very small and we could ...
102 views

### Illogical probabilities from logistic regression: with example

I have nine variables, age, bmi, duration of disease, fasting blood glucose, diastolic blood pressure, systolic blood pressure, cholesterol, triglyceride, and HbA1c. Using these variables I want to ...
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### Adding an id variable in a linear model causes small coefficient and strange range of fitted values

So I'm trying to construct a linear model on a data set and the data set has an id variable that is a school id. The data set measures (or i.e. the response is) ...
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### How can I ensure the independent features in a dataset have maximum positive coefficients on running logistics regression

I have a sample dataset with about a million records with about 7 feature variables. On running logistic regression on this dataset, I got 5 features with a positive coefficient and 2 with a negative ...
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### why regress a y variable on a vector of just ones

I am trying to understand some code somebody has written. I have a y vector which is a factor say book to price for 500 companies. Then I also have a x vector of the same shape which is just ones. ...
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### What to do with insignificant regressors in a VECM?

I'm forecasting electricity demand based on GDP and population. For the series that there is a unit root I have conducted the Johansen cointegration test and applied the number of cointegrating ...
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### Can a variable be statistically insignificant but its components be significant?

There is a paper (here) which shows that the beta coefficient of a standardised variable (see equation 3 in the paper), which represents the correlation between the standardised variables, can be ...
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### Forward selection, using adjusted R square or t statistics?

When it comes to select variable in multiple regression model using forward selection, should we add variables in the models according to its adjusted R square or t statistics/Sig?
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### Interpretation of Regression coefficient

I have a five-variable regression equation, and I added any constant (fixed value, say 100) to all the observations of variable $A$, another (or same) fixed value in variable $B$, while the other ...
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### Why doesn't standardization work in the linear regression?

I have a matrix containing the attributes of the item and their corresponding rating. All of the attributes are in the range of (0,1) and the rating is in [1,5]. I transform the range of rating to (0,...
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### How to interpret and explain negative coefficients when they do not make sense

I have seen appearance of negative coefficients where they do not make sense (the data is related to costs where negative coefficient should not appear). If regression models are fitted to individual ...
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### How to interpret nested interactions?

Consider a data set where you have a tenure variable that takes non-negative values (e.g. from 0 to ...
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### Change in coefficients when another factor is included in SEM

I have a question. Let's say in an SEM model, there is a significant relationship between A and B: A-> B (beta=.400). Sometimes if I add another factor (i.e., C) ...
356 views

### Interpreting regression coefficients with a multi-level categorical variable [duplicate]

How do I interpret the coefficients of a Regression w/ 1 continuous + 1 categorical predictor (w/ 4 levels - e.g., months) Specifically, is the 1st coefficient equal to that of the 1st month or equal ...
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### Binary logistic regression in R - assistance with determining odds of a predictor at different levels

I have performed a binary logistic regression in R with whether or not a sportsperson was re-contracted or not as the DV. My final model is as follows; ...
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### AIC in R: Back-transformation of model averaged coefficient estimates

I am running an analysis using a mixed model with lmer in R. I am using AIC as my model selection process. I have a global model and am including within the selection process all subset models ...
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### What is the best way to quantify the goodness of fit between the data and my model?

I am modeling the total fluid rate at the bottom of an oil well using a roughly exponential model (mixed with other terms representing an input signal). Here is one example (blue circles are the ...
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### DLNM and crossreduce(): getting the coefficients behind the cross-basis

I am using the R package dlnm to fit a distributed lag non-linear model estimated with lm(). One can specify both the exposure ...
111 views

### How to prove the covariance between coefficients in a simple linear regression?

How do you get this without using matrix algebra?
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### Correct interpretation of linear coeffs for 1 interaction, 1 numeric, 1 categorical

Good day, XValidators. This is my 1st question in the community. I'm at my wit's end here. Nowhere in the interwebz nor in youtoubeland can I find an answer to the following: Assume you have this ...
221 views

### Comparing regression coefficients using F-test to assess for batch effects

Here's what I have: two datasets with ~27,000 variables (same variables for each dataset). I'm trying to test whether or not dataset1 and dataset2 display batch effects. Namely, I want to do PCA and ...
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### Size of Regression Coefficients

I have run a probit regression and the size of my coefficients seem to be quite big with respect to other similar studies. For example, 0.254 vs 1.207 - does this mean anything in particular or is it ...