Question

read the following description of a data set.
walter is packing for vacation and is wondering how many books to bring. he wants to make sure he does not run out of reading material, so he looks at his reading journal to see how many books he read on past vacations.
for each vacation, he records the vacations length (in days), x, and how many books he read, y.
the least squares regression line of this data set is:
y = 0.213x + 3.273
how many books does this line predict walter would have read on an 11 day vacation?
round your answer to the nearest integer.
books

Explanation:

Step1: Sustituir el valor de \(x\) en la ecuación

Dado que \(x = 11\) (largo de la vacación en días), sustituimos \(x\) en la ecuación \(y=0.213x + 3.273\).
$$y=0.213\times11+3.273$$

Step2: Realizar la multiplicación

Calculamos \(0.213\times11\).
$$0.213\times11 = 2.343$$

Step3: Realizar la suma

Sumamos el resultado de la multiplicación al término constante.
$$y=2.343 + 3.273=5.616$$

Step4: Redondear al entero más cercano

Redondeamos \(5.616\) al entero más cercano.
Como \(0.616\geq0.5\), redondeamos hacia arriba.

Answer:

\(6\)