The spelling of the word "multiple correlation" can be explained using the International Phonetic Alphabet (IPA). The first syllable "mul-" is pronounced as /ˈmʌl/ with a short u sound. The second syllable "-ti-" is pronounced as /ˈtɪ/ with a short i sound. The third syllable "-ple" is pronounced as /pəl/ with a schwa sound. Finally, the fourth syllable is pronounced as "-ko-rei-shən" /kəˌreɪʃən/ with a long o sound and a stressed eɪ sound. Therefore, the IPA phonetic transcription for "multiple correlation" is /ˈmʌl.tɪ.pəl kəˌreɪʃən/.
Multiple correlation refers to a statistical technique that measures the relationship between a dependent variable and two or more independent variables. Also known as multiple regression or multiple linear regression, it examines how well multiple independent variables collectively predict or explain the variation in a single dependent variable.
In multiple correlation, the dependent variable refers to the outcome or the variable to be predicted, while the independent variables are the predictors or the factors that might influence the dependent variable. The aim is to determine the strength and direction of the relationship between the dependent variable and the independent variables, as well as to assess how much of the variance in the dependent variable can be explained by the predictors.
The technique calculates a multiple correlation coefficient, typically denoted as "R." This coefficient ranges from -1 to +1, with a positive value indicating a positive relationship and a negative value indicating a negative relationship. The magnitude of the coefficient represents the strength of the relationship, where values close to +1 or -1 indicate a strong relationship, while values closer to 0 indicate a weaker relationship.
Multiple correlation allows for the assessment of the combined predictive power of the independent variables. It helps researchers understand the extent to which changes in the predictors correspond to changes in the dependent variable. It is commonly used in fields such as social sciences, psychology, economics, and business to examine complex relationships and make predictions based on multiple factors or variables.
The term "multiple correlation" is derived from two key components: "multiple" and "correlation".
The word "multiple" originates from the Latin word "multiplus", which means "many" or "numerous". In English, "multiple" denotes having or involving many elements, parts, or aspects.
The term "correlation" is derived from the Latin word "correlatio", which means "mutual relation". In statistics, it refers to a statistical measure that quantifies the association or relationship between two or more variables.
When combined, "multiple correlation" refers to a statistical concept that measures the relationship between multiple independent variables and a single dependent variable. It quantifies the extent to which the independent variables collectively explain or predict the variability in the dependent variable.