# Questions tagged [polynomial]

A mathematical expression w/ >1 term containing the same variable (eg, x & x^2). Polynomials are commonly used to model curvilinear relationships.

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21 views

### Interpreting linear and quadratic terms with same sign

I am running a second order model with betweenness centrality and closeness centrality as independent variables and cognitive demand as dependent variable. The results shows that betweenness ...
23 views

### Questions about adding polynomial features to a dataset for linear regression

Apologies if this belongs to Data Science instead of here (I can move the question) but this seems related to the math aspect more than ML. In our course we just ...
17 views

### Power analysis for orthogonal polynomials

Use GPower for power analysis for cubic estimator in orthogonal polynomial regression? I would like to determine the sample size I need in order to find a significant cubic estimator in an orthogonal ...
12 views

### Probability distribution derivation given histogram of outputs

I'm not too versed in statistics, but I am currently dealing with a problem that pertains to probability. If any assumptions are off on my part, please correct me. I have a 2D polynomial function of ...
20 views

### What can this polynomial regression tell me about the distribution of my error values?

I'm working with a list of errors in some process that can be expressed as small percentages. Since they're errors we hope they're small overall and expect them to be approximately normally ...
30 views

### Why my Polynomial model has this spike?

How can I explain the spike in my Poly model after using the polynomial 3rd degree? My dataset consist of the X variables external facctores (x1,x2...xk) and Y which is a target variable. For a ...
1 vote
58 views

### How to Choose Polynomial Degree for Regression Model when Error Keeps Reducing As Degree Increase

I have a relatively small dataset with less than 100 samples, with one predictor and one outcome variable, both numerical. I generated models using lm and glm functions. For linear and polynomial (2 ...
31 views

### How to learn from a dataset of weighted polynomials

I have a dataset of weighted polynomials, i.e. each data point is a polynomial (of variable size/degree) together with a weight vector (of fixed size). Each data point has an integer label that ranges ...
53 views

### Use of polynomial regression when I can identify more curves

Hello I am modeling a regression for my school project and one of the question I got from my professor was, how would I model this with polynomial regression. I have quite good random forest and knn ...
1 vote
15 views

### Fitting a set of points to a distribution by adding up to three degrees of freedom with Python [closed]

I have a set of points whose shape is as below: Its set of x and y points is as follows: x=[0.14741,0.180288,0.195,0.245342,0.25614,0.289377,0.315789,0.357143,0.431034,1.785714,2,2.323529,2.586207,3,...
15 views

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### R poly what family of polynomials? [duplicate]

The R poly function documentation says that it gives orthogonal polynomials, but it's not clear what orthogonal polynomials it gives. Are they Legendre? Are they ...
140 views

### Help Understanding Polynomial/Least Squares Regression

I have a dataset of 2 variables (called x with shape n x 2 values of x1 and x2) and 1 output (called y). I am having trouble understanding how to calculate predicted output values from the polynomial ...
179 views

### How to do data imputation and normalization when using polynomial regression?

The question is about the practical use of polynomial regression. Let's say there is a dataset with columns A, B, T where T is a dependent variable, A and B are independent variables. A and B contain ...
1 vote
514 views

### Fit a polynomial model column of time series data

I'm asked to fit a polynomial model on the FTSE column from the EuStockMarkets dataset available in R. How is it possible to fit on just one column in this case? Is there another column of sorts in ...
17 views

### Log-Binomial Polynomial Terms Interpretation

I have a log binomial model of tested (yes/no) by number of years since 2011. The quadratic term is also significant. I am trying to find the probability of being tested at each year. I thought I ...
30 views

### Is it appropriate to fit a linear model to my data?

I have a bunch of outcome/exposure relationships I am trying to fit models to: From these graphs, I am not sure if a simple lm is appropriate. Some of them look ...
6k views

### How can we explain the "bad reputation" of higher-order polynomials?

We all must have heard it by now - when we start learning about statistical models overfitting data, the first example we are often given is about "polynomial functions" (e.g., see the ...
542 views

### When adding polynomial features, the issue of multicollinearity doesn't hold. Why?

In the regression model, sometimes to capture the non-linear relationship between dependent and independent variables, we use polynomial features. But in regression, if the two or more features are ...
1 vote
632 views

### Interpreting Quadratic Variables in Negative Binomial Regression

I want to include a quadratic term for age in my negative binomial model as past work has suggested it may be curvilinear. I know how to interpret a quadratic coefficient in OLS, but am unsure with ...
313 views

### How to interpret polynomial regression bootstrap output?

I have the following data: ...
1 vote