Question

playing video games makes garrett so happy that he thinks it even helps him complete more schoolwork. garretts roommate carla is skeptical, so over the next few days, carla asks garrett about his progress on his daily reading. for each day, carla notes the number of minutes garrett spends playing video games, x. she also takes the number of pages garrett reads and divides it by the total number of pages assigned, y.
minutes playing video games | percentage of reading assignment
35 | 45
38 | 45
41 | 37
72 | 35
75 | 31
the least squares regression line of this data set is: y = -0.279x + 53.143. if garrett spends 40 minutes playing video games, what percentage of his daily reading assignment does this line predict he will complete? round your answer to the nearest thousandth.

Explanation:

Step1: Sustituir el valor de x

Dado la ecuación de la línea de regresión $y = - 0.279x+53.143$, sustituimos $x = 40$.

Step2: Realizar cálculos

$y=-0.279\times40 + 53.143$.
$y=-11.16+53.143$.
$y = 41.983$.

Answer:

41.983