Statistical regression is a term commonly used in data analysis and mathematical modelling. The spelling of "statistical regression" can be broken down using the International Phonetic Alphabet (IPA) as /stətɪstɪkəl rɪˈɡrɛʃən/. The 'st' consonant cluster is followed by the schwa vowel sound, and 't' sound is repeated three times. The second syllable has a short 'i' sound followed by an 's' consonant sound. The final syllable contains the 'sh' sound represented by the letters 'ss' and 'n' sound represented by the letters 'ion'.
Statistical regression is a mathematical concept and technique used in statistics and predictive modeling to understand and analyze the relationship between multiple variables. It involves examining how one variable, known as the dependent variable, changes in response to changes in one or more independent variables.
In simple terms, statistical regression is the practice of determining how changes in one variable can be used to predict or explain changes in another variable. It aims to establish a statistical model that best describes the relationship between the variables by estimating the values of the regression coefficients.
The most commonly used method for statistical regression is called linear regression, which assumes a linear relationship between the variables being analyzed. This method calculates the equation for a straight line that best fits the data, allowing for predictions or inferences to be made about the dependent variable based on the independent variables.
Regression analysis involves several statistical measures to assess the strength and significance of the relationship between the variables. These measures include the coefficient of determination (R-squared), which indicates the proportion of the dependent variable's variance explained by the independent variable(s), and the p-value, which evaluates the statistical significance of the relationship.
Overall, statistical regression is a fundamental tool in statistical analysis, providing insights into the patterns and relationships between variables. It enables researchers to make predictions, infer causal relationships, and guide decision-making processes in various fields such as economics, social sciences, medicine, and engineering.
The term "statistical regression" has its origins in the field of statistics and represents a mathematical concept. The term "regression" was first introduced by Sir Francis Galton, an English scientist and cousin of Charles Darwin, in the late 19th century. Galton used this term to describe a phenomenon he observed while studying the relationship between the heights of parents and their offspring.
The word "regression" originates from the Latin word "regressus", which means "a returning". In statistical terms, it refers to the idea that extreme values (or "outliers") in a dataset tend to move back or regress towards the average or mean value.
The term "statistical regression" emerged from the application of regression analysis in statistics. It refers to a set of techniques that are used to model and quantify relationships between variables.