Question

read the following description of a data set.
a pharmaceutical company is testing a new headache medication. researchers at the company conducted an observational study using volunteer participants. all participants were given a supply of tablets of the new medication.
the participants then recorded how many headaches they had had for a week, x, and how many tablets they had taken, y.
the least squares regression line of this data set is:
$y = 1.764x + 3.751$
how many tablets does this line predict someone who had had 6 headaches in a week would have taken?
round your answer to the nearest integer.
tablets

Explanation:

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

Dado \(x = 6\) y la ecuación \(y=1.764x + 3.751\), sustituimos \(x\):
\(y=1.764\times6+3.751\)

Step2: Realizar la multiplicación

\(1.764\times6 = 10.584\), entonces la ecuación se convierte en \(y = 10.584+3.751\)

Step3: Realizar la suma

\(10.584 + 3.751=14.335\)

Step4: Redondear al entero más cercano

Redondeando \(14.335\) al entero más cercano, obtenemos \(14\)

Answer:

\(14\)