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 s was found to be 3.05. which of the following is the best interpretation of s? the average number of pretzels a student could grab is 3.05 pretzels. the average handspan of a student is 3.05 centimeters. the average residual is about 3.05 centimeters. the average residual is about 3.05 pretzels.

Explanation:

En análisis de regresión, $s$ representa la desviación estándar de los residuos, es decir, la diferencia promedio entre los valores observados y los predichos por el modelo. En este caso, la variable respuesta es el número de pretzels que los estudiantes pudieron agarrar, así que la unidad de $s$ corresponde a esta variable. Los residuos miden el error promedio de predicción, por lo que $s = 3.05$ se interpreta como el promedio de ese error en la variable respuesta.

Answer:

D. The average residual is about 3.05 pretzels.