read the following description of a data set.\na pharmaceutical company is testing a new headache…

read the following description of a data set.\na 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.\nthe participants then recorded how many headaches they had had for a week, $x$, and how many tablets they had taken, $y$.\nthe least squares regression line of this data set is:\n$y = 0.953x + 7.408$\ncomplete the following sentence:\nfor each additional headache someone had, the least squares regression line predicts that he or she would have taken $\boldsymbol{square}$ additional tablets.

read the following description of a data set.\na 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.\nthe participants then recorded how many headaches they had had for a week, $x$, and how many tablets they had taken, $y$.\nthe least squares regression line of this data set is:\n$y = 0.953x + 7.408$\ncomplete the following sentence:\nfor each additional headache someone had, the least squares regression line predicts that he or she would have taken $\boldsymbol{square}$ additional tablets.

Answer

Explanation:

Step1: Identify regression slope

The least squares regression line is in the form $y = mx + b$, where $m$ is the slope (the change in $y$ per unit change in $x$). From $y = 0.953x + 7.408$, the slope $m = 0.953$.

Step2: Interpret the slope

The slope represents the predicted change in number of tablets ($y$) for each additional headache ($x$).

Answer:

0.953