# Questions tagged [regression]

Techniques for analyzing the relationship between one (or more) "dependent" variables and "independent" variables.

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### How to perform repeated measures ordinal logistic regression using SPSS? [closed]

I'm usually a UseR. However, for didactic purposes I have to use SPSS today. I have to specify a General linear model with ordinal structure because what I'm examining is: Change in Likert scale ...
125 views

### Determine gradient from past samples

Again this question may be simple for you, but it is an important aspect for my classification problem. Let`s say I have 5 attributes, which are: ...
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### Properties of logistic regressions

We're working with some logistic regressions and we have realized that the average estimated probability always equals the proportion of ones in the sample; that is, the average of fitted values ...
1k views

### In linear regression, is the $R^2$ value enough to assess whether the relationship between the independent and dependent variable is linear?

In linear regression, is the $R^2$ value enough to assess whether the relationship between the independent and dependent variable is linear? It gives the amount of variability in the dependent ...
158k views

### Difference between confidence intervals and prediction intervals

For a prediction interval in linear regression you still use $\hat{E}[Y|x] = \hat{\beta_0}+\hat{\beta}_{1}x$ to generate the interval. You also use this to generate a confidence interval of $E[Y|x_0]$....
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### Minimum cluster size requirements? Minimum sample size requirements for clustered standard errors?

I have a sample with little over 100 observations and 50 clusters, one quarter of which have only one observation. Is it correct to calculate clustered standard errors in a linear regression that uses ...
96 views

### Does including both raw and per capita measures as predictors reduce significance of either predictor?

I'm running a regression on independent variables, some of which are measured in different units, for example: The amount of broadband connections in a country The amount of broadband connections in ...
203 views

### How to interpret the conditional expected value in a regression?

If you want to estimate $E[y| x = \text{some value}]$ is this just a matter of plugging $x$ into the regression equation? Because you estimate the regression coefficients, therefore the value you get ...
27k views

Is "unadjusted" basically just simple linear regression whereas "adjusted" is multiple regression? For example, looking at the effect of x on y adjusting for other variables like a, b and c versus ...
38k views

### What is a complete list of the usual assumptions for linear regression?

What are the usual assumptions for linear regression? Do they include: a linear relationship between the independent and dependent variable independent errors normal distribution of errors ...
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### Selecting regression model for a non-negative integer response

I have a series of non-negative integers $y=(y_1,y_2,..., y_n)$ and a design matrix $y = \beta_0 + \beta_1 x_1 + \beta_2 x_2 + \beta_3 x_1 x_2$, where $x_0$ and $x_1$ are $0$ or $1$, $x_1x_2$ is the ...
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### How low multiple R-squared value is enough to reject a model?

I'm doing a simple linear regression I tried: ...
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### How is it possible that these variances are equal?

I'm using the Fligner-Killen test to analyze the residuals of a linear regression. I subdivide those residuals in three groups and then I do the FK test to check the homogeneity of variances. The ...
521 views

### Which type of regression analysis should I use for consumption pattern data?

I conducted a survey asking people of various income groups about their annual expenditure under various consumption brackets such as food, clothing, housing etc. I then calculated the amount spent by ...
2k views

### Local polynomial (linear) regression of binary data — logit transformation?

I got a bit confused about how to fit a local polynomial to binary outcomes if I would rather approximate the underlying index (within a link function) instead. (Basically for the same reason why ...
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### Is it reasonable to treat a three point Likert dependent variable as a continuous variable?

I have a three point Likert scale question: How happy are you? 1= low levels of happiness 2= medium levels 3= high levels I want to do multiple ...
150 views

### Determining the influential features for an outcome

I have a small table like this ...