Question

the length, ( x ) (in inches), and weight, ( y ) (in ounces), for a type of bass were measured for a random sample of 10 bass from a lake. these measurements were then analyzed and the value for ( r^2 ) was determined to be 96%. which of the following is the best interpretation of this value? 4% of the variation in the basss length is determined by the variation in the basss weight. 96% of the variation in the basss weight is determined by the variation in the basss length. 96% of the variation in the basss length is determined by the variation in the basss weight. 98% of the variation in the basss weight is determined by the variation in the basss length.

Explanation:

El coeficiente de determinación $r^2$ indica la proporción de la variación de la variable dependiente que se explica por la variación de la variable independiente. Aquí, la longitud ($x$) es la variable independiente y el peso ($y$) es la variable dependiente, ya que se analiza cómo la longitud explica el peso. Un valor de $r^2 = 96\%$ significa que el 96% de la variación del peso se explica por la variación de la longitud.

Answer:

B. 96% of the variation in the bass's weight is determined by the variation in the bass's length.