Question

interpret the least squares regression line of this data set. eduardo is indignant that his favorite author takes too long to write new books. to determine how atypical his favorite authors speed is, eduardo looked at how writing speed varies between different active authors. for his favorite novelists, he recorded the number of years they had been actively writing, x, and how many novels they had written, y.

years	novels
20	13
22	15
22	13
34	18

the correct least squares regression line for the data set is: y = 0.204x + 10.041. use it to complete the following sentence: for each additional year, the least squares regression line predicts that an author would have written an additional novels.

Explanation:

Step1: Identificar la ecuación de regresión

La ecuación de la recta de regresión es $y = 0.204x+10.041$, donde $y$ es el número de novelas y $x$ es el número de años de escritura activa.

Step2: Interpretar la pendiente

En una ecuación lineal $y = mx + b$, la pendiente $m$ representa el cambio en $y$ por cada cambio unitario en $x$. Aquí, $m = 0.204$.

Answer:

0.204