Question

interpret the least squares regression line of this data set. isabella wants to ensure that the new board game shes designing is accessible to a wide age range. to test this, she had several children of various ages play the board game against each other. each child played the game the same number of times. for each child, isabella recorded his or her age, x, and the number of games that child had won, y. age games won 7 0 7 0 10 2 12 10 12 9 the correct least squares regression line for the data set is: y = 1.841x - 13.476 use it to complete the following sentence: if a child were one year older, the least squares regression line predicts he or she would have won more games.

Explanation:

Step1: Identificar la pendiente de la línea de regresión

La ecuación de la línea de regresión es $y = 1.841x - 13.476$. En una ecuación lineal de la forma $y=mx + b$, $m$ es la pendiente. Aquí, $m = 1.841$.

Step2: Interpretar la pendiente

La pendiente representa el cambio en $y$ (número de juegos ganados) por cada cambio unitario en $x$ (edad). Entonces, si $x$ aumenta en 1 (un año más), $y$ aumenta en 1.841.

Answer:

1.841