Question

read the following description of a data set.
elizabeth wants to figure out how long it usually takes to get through a supermarket checkout line. for several weeks, she observed the checkout lines she waited in.
elizabeth counted how many people were ahead of her in each line she joined, x, and how many minutes it took her to get to the front of that line, y.
the least squares regression line of this data set is:
$y = 0.576x + 5.216$
how long does this line predict elizabeth would have to wait if there were 7 people ahead of her?
round your answer to the nearest integer.
minutes

Explanation:

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

Dado que \(x = 7\) (número de personas), sustituimos \(x\) en la ecuación \(y = 0.576x+5.216\).
$$y=0.576\times7 + 5.216$$

Step2: Realizar la multiplicación

Calculamos \(0.576\times7\).
$$0.576\times7=4.032$$

Step3: Realizar la suma

Sumamos el resultado de la multiplicación al término independiente.
$$y = 4.032+5.216$$
$$y=9.248$$

Step4: Redondear al entero más cercano

Redondeamos \(9.248\) al entero más cercano.
Como \(0.248<0.5\), \(y\approx9\)

Answer:

\(9\)