# Questions tagged [extrapolation]

Given a set of bivariate data (x, y), to impute a value of y corresponding to some value of x at which there is no measurement of y is called extrapolation, if the value of x is outside the range of the measured values of x.

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### Extrapolation v. Interpolation

What is the difference between extrapolation and interpolation, and what is the most precise way of using these terms? For example, I have seen a statement in a paper using interpolation as: "The ...
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### Biased Data in Machine Learning

I am working on a Machine Learning project with data that is already (heavily) biased by data selection. Let's assume you have a set of hard coded rules. How do you build a machine learning model to ...
279 views

### Model for spatiotemporal and discrete variables

I have a situation where I am monitoring events at 50 or so geographical sites in a town and at each of these sites, I am making measurements regarding the count of certain particles (so the ...
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### Difference between extrapolation and interpolation in higher dimensions

The most common distinction I've seen made between interpolation and extrapolation is that interpolation is within the range of the data, whereas extrapolation is outside the range of the data. This ...
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### Can you extrapolate values of the dependent variable with a GAM?

I'm trying to find issues where GLMs are better than GAMs and came to the idea that GLMs can make predictions beyond the scope of the data used to feed the model (i.e, extrapolations), while GAMs ...
184 views

### The extrapolation problem: model selection, performance metrics, and improvement

Machine learning models are fit to a response variable within a given range. This leads to weak and sometimes disastrous performance when it comes to instances with an actual response variable outside ...
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### PCA basic: Must eigenvalues converge to zero at high dimension?

Recently, I obtained several PCA plots, and because I am unable to produce eigenvalues for higher dimensions, I tried to extrapolate them based on the available data. The reason why I want to do this ...
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### How to run a regression analysis in python on a nonlinear, strange dataset

I can't figure out what type of regression analysis or extrapolation technique to use in order to come up with an equation for the data I have plotted. For a school project, I've been testing diodes ...
323 views

### How do gamboostLSS and gamlss packages predict outside range of x?

The mgcv package performs a linear extrapolation when the newdat argument of the predict ...
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### Framework for simulating SEM data w/ moderation + mediation, testing models

I'm interested in extrapolating treatment effects from RCTs to new populations under conditions where populations exhibit relevant differences that induce differences in treatment effects. My aim is ...
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### Statistical extrapolation question - If I have three bins of balls

Let's say I have three bins of red and blue balls. Each bin has exactly 1000 balls in it, but the problem is that I don't know exactly how many balls there are of each color in the three bins. I only ...
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### What are the theoretical reasons for why extrapolation “less reliable” than interpolation?

Extrapolation is in general "unreliable". (See "What is wrong with extrapolation?") But it is also commonly said that extrapolation is "less reliable" than interpolation. But why should we ...
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### A queston regarding the meaning of the intercept in regression

Suppose we have a dataset where the indepedent variable $x$ is the work experience in years of an employee and $y$ is his salary in dollars. Such a dataset could consist of the following elements (...
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### How to validate a regression model in extrapolation territory?

I'm dealing with a regression problem and have two datasets at my disposal. Dataset A is properly labeled and I use it to fit and validate my model, B is unlabeled and I can only visually inspect ...
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### How does one estimate error of extrapolated value with only 2 data points?

I am trying to do a simple linear regression. I have only two data points with errors. How do I estimate the y-intercept with errors? Currently I have: ...
251 views

### How to extrapolate partial curve based on other complete curves?

I heat a room to a certain temperature. Then I let it cool over time. I measure the temperature at 6 intervals as it cools. I repeat this process for some other rooms. From this, I get a set of ...
371 views

### Comparing different machine learning models for extrapolation

I am trying to fit a non linear regression model on a set of data points which I know is incomplete. When visualizing the data, the relationship looks quite simple between my features and dependent ...
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### Commenting on wider population from survey sample

I am conducting a survey in 9 restaurants, hoping to gather data on our customer demographic profile. The population is equal to the number of covers the restaurant had over the corresponding period ...
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### Extrapolating Hierarchical Time-Series Data

I have time-series data of national-level population estimates from 1990 to 2015. I also have subnational-level population estimates (thus, the distribution of national data), but only for years 2000 ...
189 views

### Determining mean and SD of a parent normal distribution from a truncated data set

This seems like it should be easier than it is, but I'm stuck trying to determine if a data set I have represents a truncated normal distribution. The hypothesis I'm testing is that the data you see ...
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### Removing observations from sample & extrapolation

I have a survey that was administered once to establish baseline, and again to follow up. The baseline was created from a random sample of the population (1,200 respondents). The follow up survey (~...
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### forecast beyond the data set in r

I am forecasting GDP growth for my dissertation. The data is from 1984-2017 (quaterly values). I am using the following code to fit and forecast a linear regression model. ...
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### What is the best way to extrapolate when working with a linear regression model?

There's not much more to ask than what I've written in the title. Some of the values I want to predict are outside of the range used to build the regression model.
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### Can I obtain the means for two groups using their mean difference?

I have a study which provides the mean difference for two groups (alongside 95%CI, SE, n and p-value). I would like to extrapolate the raw means to use in Revman to perform a random-effect SMD meta-...
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### Finding the the Confidence Interval with Linear Extrapolation [duplicate]

Suppose I have some slightly messy data with an r squared of 0.9, and so fits a line pretty well. If I were to extrapolate based on the slope and intercept of the fit, I would expect my y values to ...
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### Interpolate or Extrapolate?

I've encountered a little problem with my research. My study is about the relationship between ICT Development and Service Trade from 1999-2018 (annually). Some of the missing data are located in the ...
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### Generalize to population from a nonrandom sample in ex post facto design?

I have a matched sample created from a larger nonrandom sample using an ex post facto design. I've been told that you should never generalize to a population from nonrandom samples. I've read that ...
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### How to know when a random forest model is extrapolating in multidimensional space, while ignoring uninformative variables?

Lets say I train a random forest model to predict dependent variable y as a function of x1, ...
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### Multivariate Natural Logarithmic (Exponential) Regression

I have a list of values with 4 input columns and one output column as follows: Temperature: Directly Proportional to Severity Hours of utilization per month: Directly Proportional to Severity Power ...
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### Is machine learning suitable for predicting a country's yearly statistical data?

My data consists of 55 years of around 200 different indicators for 200 different countries. The data is around 80% complete. Some indicators are dependent within the data(E.g. yearly meat spoilage ...
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### What statistical technique could be used to extrapolate CO2 data

I am new to statistics but scraped data from NOAA's web site to plot CO2 level vs time. Is there a good statistical technique to extrapolate past limit of data X axis to near future like 2050? One ...
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### How can I extrapolate the mean from data ranges, assuming normal distribution? [closed]

I have the following summary of data point values: Under 600: 38% 601-800: 51% Over 801: 11% Assuming a normal distribution of values, how can I calculate the mean? Note: it doesn't have to be ...