10-2 Correlation
This section introduces the linear correlation coefficient r, which is a numerical measure of the strength of the relationship between two variables representing quantitative data. Using paired sample data (sometimes called bivariate data), we find the value of r (usually using technology), then we use that value to conclude that there is (or is not) a relationship between the two variables. In this section we consider only linear relationships, which means that when graphed, the points approximate a straight-line pattern. Because software programs or calculators are usually used to find the value of r, it is important to focus on the concepts in this section, without becoming overly involved with tedious arithmetic calculations.
Esta sección presenta el coeficiente de correlación lineal r, que es una medida numérica de la fuerza de la relación entre dos variables que representan datos cuantitativos. Usando datos de muestra emparejados (a veces llamados datos bivariados), encontramos el valor de r (generalmente usando tecnología), luego usamos ese valor para concluir que existe (o no) una relación entre las dos variables. En esta sección consideramos solo relaciones lineales, lo que significa que cuando se grafican, los puntos se aproximan a un patrón de línea recta. Debido a que los programas de software o las calculadoras se usan generalmente para encontrar el valor de r, es importante enfocarse en los conceptos de esta sección, sin involucrarse demasiado en tediosos cálculos aritméticos.
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