Pronunciation: [ɹɪɡɹˈɛʃənz] (IPA) 
The spelling of "regressions" is fairly straightforward when broken down by its phonetic transcription: rəˈɡrɛʃənz. The first syllable, "re," is pronounced as "ruh" and followed by the "gr" blend, where the "g" sound is followed by a quick "r" sound. The next syllable, "es," is pronounced "esh," and the final syllable, "ions," is pronounced "ee-uhns." Overall, "regressions" is spelled phonetically based on the sounds in the word.
Regressions, in the context of statistics, refer to a statistical model that aims to explain the relationship between one dependent variable and one or more independent variables. It involves analyzing the extent to which changes in the independent variables contribute to changes in the dependent variable. The term "regression" originated from Francis Galton's work on inheritance, where he noticed that the heights of offspring tend to regress towards the average height of their parents.
Regression analysis is a widely used statistical technique for analyzing and modeling relationships between variables. The main objective is to estimate the coefficients of the independent variables that minimize the difference between the observed and predicted values of the dependent variable. This estimation is often done using a method called ordinary least squares (OLS), which provides unbiased and efficient estimates.
The result of a regression analysis is a regression equation that can be used to predict or estimate the value of the dependent variable based on the values of the independent variables. The equation incorporates the estimated coefficients and the input variables. Assessing the statistical significance of the coefficients helps determine the strength and direction of the relationship between the variables.
Regressions are used in various fields, such as economics, finance, psychology, and social sciences, to understand the relationships and predict outcomes. They provide a useful tool for making predictions, testing hypotheses, and understanding the impacts of changes in independent variables on the dependent variable.
The word regressions can be broken down into two parts: regression and the plural suffix -s.
The word regression originated from the Latin word regressus, which is the past participle of the verb regredi. Regredi is composed of the prefix re- (meaning back) and the verb gradi (meaning to go). Therefore, regressus means to go back or to return.
In the context of statistics and mathematics, regression refers to a statistical model used to analyze the relationship between variables. The term was first introduced by Sir Francis Galton in the late 19th century, who used the method to study the hereditary nature of traits.
The plural suffix -s is simply added to form the plural form of the word regression.
