# Questions tagged [intercept]

The intercept in regression-type models is the value of the Y variable when all X variables are 0.

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### Simulate event rate in logistic regression - Finding the intercept

I want to simulate a logistic regression (using a set of continous and binary confounders with known odds ratios) with a specified probability outcome (e.g. event rate = 0.2). This is actually a ...
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### plot probabilities from mixed effect logistic regression with random intercept and fixed continuous and categorical covariate

I have created a mixed-effect logistic regression model with a random intercept, a ...
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### Formula for type III sum of squares of the intercept term in linear multiple regression

assume we have the regression model: $$Y = b_0 + b_1 x_1 + \dots + b_k x_k + \varepsilon$$ I know the formulas for all type III sum of squares for the regression terms except the formula for SS of ...
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### Is it valid to solve an equation for multiple coefficients, then average them to obtain overall effect?

I have a regression model, the setup for which is as follows: I am using manyglm, a multivariate general linear model approach to determine the difference in several invertebrate species between two ...
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### Coefficients in a Randomized Block Design

If, for example, I am running a GLM with Poisson distribution (it could be any distribution) and I have a Randomized Block Design (RBD) [Note: I don't wanna run a GLMM just to put the blocks as a ...
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### Permutation test on the intercept in MANLY(1997) framework?

We assume to have the following regression model: $Y=β_0+β_1X_1+β_2X_2+ϵ$ I recall here the Manly procedure (from another post here :How to do permutation test on model coefficients when including an ...
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### Hypothesis at 5% significant for slope and intercept coefficient

"Conduct hypotheses tests at a 5% significance level on the intercept and slope coefficient to see if the intercept is significantly different from zero and the slope coefficient is significantly ...
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### Minimizing error of intercept estimate for a given N

Suppose you know that $y = a + bx + \epsilon$ is your generating process, where $\epsilon$ is $N(0, \sigma^2)$, but you don't know the parameters $a, b, \sigma$. You have a limited number of trials ...
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### Calculate output nodes (consumer acceptance) of neutal network

To make it a bit easier I am using round numbers (integers) in this example. We have to calculate the value for consumer acceptance. Therefore we have the following input variables (fat = 3; salt = 2)...
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### How to determine bias in simple neural network

I have built a very simple feed-forward neural network which given an input $x \in \{0, 1\}$, it is trained to learn $f(x) = x$, the identity function. Below is a model where on iteration $i$, $x_i$ ...
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### Negative and not significant intercept in multilevel model

the objective of my work is to estimate whether policies can increase men's time investment in housework. In order to estimate whether the regulation of normal weekly working hours affects men's time ...
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### Estimating intercept term in simulation study

I am working on a simulation study in which I have generated data to mimic a scenario with treated and untreated members of a population along with a number of baseline covariates. I am using those ...
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### How to Interprete Constant Intercept in Log Models?

Even though this seems like an especially simple question, I am not 100% sure about what the constant in a log-log model, log-level, or level-log model means. For example, in log(weight) = 8.29 - 0....
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### Unusually high intercept for one of the data sets

I’m running a regression to test the stock market in Sweden. In essence, I have made a categorization of two types of buys and two types of Sells. Then I have divided the sample containing all trades ...
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### Should an ARMA model always include a constant term?

Should an ARMA model always include a constant term? And if not, when is it appropriate to drop the constant?
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### Example for Time Series with Drift and one with Trend

after going through a few posts here on CrossValidated, StackOverflow and Google, I am still puzzled how I can detect whether a time series has a "drift" and how it differs from trend. Here are four ...
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### When nature passes through (0;0): what are the consequences for a linear mixed model?

I'm analyzing the data for my master thesis; it's about photosynthetic efficiency for 10 different genotypes of a certain plant species (genotype=Accession in my dataset). For each Accession, I've ...
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### GLM - compare the estimated model with the model with intercept-only

I have this glm output. How do the test to compare the estimated model with the model with intercept-only ? How can I comment on the result ?
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### How to obtain OLS estimators of the slopes using the deviations from their means

In my econometric course we were given the exercise to show that the OLS estimators of the slopes can be derived by converting the data to deviations from their means. Furthermore, I'm also supposed ...
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### How to adjust lm Estimates and SE relative to the Intercept

I have a question regarding the output from lm in this table below: ...
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### Slope testing for regression lines between non-normal explanatory and response variables

I would like to estimate a regression line between my explanatory and response variables. The explanatory and the response variables are (paired) instrumental measures of the same thing under ...
112 views

### Interpretation of coefficient sign change and order of terms

I have a logistic regression with data that are kind of like this: ...
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### Interpret significant intercept

I performed Wald tests on my GEE model (in fact, using anovas on nested models) and got no significant variables. Since I could not run a model without any independent variable I left distance in the ...
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### Syntax for a random effect in an R regression - not sure if nested, and how to express?

I am running an ordinal regression for an experiment I have conducted, where the DV is ratings on a 5-point scale, and the predictors are the type of item, the type of participant (native speaker/L2/...
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### Problems with multicollinearity tests of no intercept models

i have an $\mathrm{AR}(1)$ model in R, $y_t \sim y_{t-1} + X_{1,t}+ \cdots+ X_{n,t}$ with no intercept and i want calculate some individual multicolinearity tests for each variable in the model. The ...
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### Independent variable is correlated with intercept, creating singularities

I am building a logistic model with about 20 variables. I have used the following code: `fullmod = glm(cancer ~ B_SEX+BLINE_AGE_AT_BASELINE+B_BMI+B_chro+B_fdrc+B_hrt+B_LMET+ B_MET+B_FV+B_EDU+B_INC+...
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### Intercept in a dynamic panel model

I have been taught that including fixed/random effects in a dynamic panel model yields inconsistent estimates when using OLS and hence motivates the usage of other estimation methods. However, does ...
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### Interpreting estimates in a Poisson regression

I know similar questions have already been answered but in this particular case I need some additional help. I am working with this data set: https://github.com/proback/BeyondMLR/blob/master/data/...