# Questions tagged [linear]

For statistical topics which involve the assumption of linearity, for example, linear regression or linear mixed models, or for the discussion of linear algebra as applied to statistics.

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16 views

### How to find Linear regression independent variables for future dates

I am new to the forum and Machine learning world. I have been through multiple linear regression tutorials where the example is stock prices. The dependent variable is closing price and independent ...
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### Determining if linear regression is appropriate

I am designing an experiment, and I want to know if using a hypothesis test on the linear regression model to analyze my data is appropriate. The experiment will have five independent variable values ...
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### Linear model with both additive and multiplicative effects

In linear regression, the independent variables have an additive effect on the response (level-level regression): $y=\beta_0+\beta_1x+\epsilon$ In a log-level regression, the independent variables ...
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### Multiple linear regression approach: difference in set-up and dataset split

Firstly, I am new to modelling linear regression models. I want to build a linear regression model to predict building energy use based on building parameters. I'm having a dataset of 100000 buildings ...
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### Why is $Y=\beta_0 x^{\beta_1} e$ a linear model?

Why is $Y=\beta_0 x^{\beta_1} e$ a linear model? When we apply the transform, it becomes $lnY = ln\beta_0+\beta_1 lnx +lne$, and why is it still linear when the $\beta_0$ part is under ln?
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### Deriving vectorized form of linear regression

We first have the weights of a D dimensional vector $w$ and a D dimensional predictor vector $x$, which are all indexed by $j$. There are $N$ observations, all D dimensional. $t$ is our targets, i.e, ...
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### Test for statistically significant difference in means across different conditions

I've never had a formal statistics course, so I hope these questions aren't too basic or using incorrect terminology. I have samples of bivariate data across different scales of 3 kinds, which I ...
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### Imputing missing values for linear regression model, using linear regression

I scraped a real estate website and would like to impute missing data on total area (about 40% missing) using linear regression. I achieve the best results using price, number of rooms, bedrooms, ...
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### Testing linear hypothesis with Wald test: unintuitive results

I have a question about testing the equivalence of two regression parameters. I know there are a lot of resources about how to test a linear hypothesis but I am confused about my results (and its been ...
22 views

### Multiplicity Correction for Coefficient Estimates in Linear Regression [duplicate]

When regressing a dependent variable y on some feature vector x with a standard linear regression, is there any correction in place for multiplicity or is this just not relevant in this case? The ...
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### Checking the constant variance assumption for residuals vs fitted plots: What about for the same fitted values?

For a residuals vs fitted plot, we use the fitted values $\hat{Y} = \beta_0 + \beta_1 + \cdots + \beta_p x_p$ on the horizontal axis and the residuals on the vertical axis, and then compare the ...
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### SPSS - Automatic Linear Modeling “Importance” Numbers

I have a large set of survey data. I'm looking at trying to find out which variables are the most important to impacting a DV (call it "happiness"). I'm not looking to find a beta number ...
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### Assumptions of OLS and linear mixed models

I've only taken a few statistics courses, and so I apologize if any of my questions are rudimentary, however, I'm wondering if someone could explain/direct me to resources regarding the correct ...
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### How to test if sum of two coefficients of ols model is greater than zero using R?

The regression model is: y = b0 +b1x1 + b2x2 + b3x3 + e I want to test if b1 + b2 > 0. the R package ...
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### Linear model what is $p(x|y_0)$

If I have a linear model of the form: $$x_i = \beta y_i + \alpha + \epsilon_i$$ where $\epsilon_i$ are samples from $\epsilon$, an independent and identically distributed random variable. I can find ...
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### Should I remove the trend of this data

I have time-series data. It includes a number of patients with series conditions due to car crashes. After I remove the trend, I found that some number of patients becomes negatives which is ...
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### distance between two points (x,y) weighted by location (x)

a new on algebra. I am trying to create an indicator of the distance between two points (x,y) from a (0,1) scale, but I want to create a weight that reduces such distances as the point x is closer to ...