Question

in a statistics class, a teacher had the students complete an activity in which they grabbed as many bite - sized pretzels as they could with their dominant hand, without crushing them. the teacher then measured their handspan in centimeters. a regression analysis was completed and the value for ( r^{2} ) was ( 52.1% ). which of the following is the correct interpretation of ( r^{2} )? about 52.1 percent of the variation in handspan is accounted for by the linear relationship formed with the number of bite - sized pretzels grabbed with the dominant hand. about 52.1 percent of the variation in number of bite - sized pretzels grabbed with the dominant hand is accounted for by the linear relationship formed with handspan. about 47.9 percent of the variation in handspan is accounted for by the linear relationship formed with the number of bite - sized pretzels grabbed with the dominant hand. about 72.1 percent of the variation in number of bite - sized pretzels grabbed with the dominant hand is accounted for by the linear relationship formed with handspan.

Explanation:

El coeficiente de determinación $r^2$ indica el porcentaje de la variación de la variable dependiente (en este caso, el número de pretzels agarrados) que se explica por la relación lineal con la variable independiente (la anchura de la mano). Aquí, el valor de $r^2 = 52.1\%$ significa que ese porcentaje de la variación en el número de pretzels se explica por la relación lineal con la anchura de la mano.

Answer:

B. About 52.1 percent of the variation in number of bite-sized pretzels grabbed with the dominant hand is accounted for by the linear relationship formed with handspan.