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I am not sure which forum to ask this question since the answer may change depending on the scientific area.

I am analysing some time series using linear regression. I predict data using the linear function that is obtained from fit. How can I name the linear function that is used to predict data; linear method or linear model?

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What you have made is a linear model. You have made a linear regression that you are using predict future outcomes.

Further information is on this Wikipedia page, specifically:

Ordinary linear regression predicts the expected value of a given unknown quantity (the response variable, a random variable) as a linear combination of a set of observed values (predictors). This implies that a constant change in a predictor leads to a constant change in the response variable (i.e. a linear-response model).

There are a number of links at the bottom of that page.

I hope this helps

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