That is, if you know the temperature in degrees Celsius, you can use this equation to determine the temperature in degrees Fahrenheit exactly. As you may remember, the relationship between degrees Fahrenheit and degrees Celsius is known to be: Note that the observed ( x, y) data points fall directly on a line. Here is an example of a deterministic relationship. Types of relationshipsīefore proceeding, we must clarify what types of relationships we won't study in this course, namely, deterministic (or functional) relationships. In contrast, multiple linear regression, which we study later in this course, gets its adjective "multiple," because it concerns the study of two or more predictor variables. Simple linear regression gets its adjective "simple," because it concerns the study of only one predictor variable. The other terms are mentioned only to make you aware of them should you encounter them. The other variable, denoted y, is regarded as the response, outcome, or dependent variable.īecause the other terms are used less frequently today, we'll use the " predictor" and " response" terms to refer to the variables encountered in this course.One variable, denoted x, is regarded as the predictor, explanatory, or independent variable.Simple linear regression is a statistical method that allows us to summarize and study relationships between two continuous (quantitative) variables:
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