Chapter 1.5, Problem 75PE

(a)

To determine

To calculate: The least squares regression line. Also, round the slope to $3$ decimal and $y\text{-intercept}$ to $2$ decimal place.

$\begin{array}{|ll|}\hline \begin{array}{l}\text{Hamburger}\\ \text{calories}\end{array}\hfill & \begin{array}{l}\text{Cholesterol}\\ \text{ (mg)}\end{array}\hfill \\ 220\hfill & 35\hfill \\ 420\hfill & 50\hfill \\ 460\hfill & 50\hfill \\ 480\hfill & 60\hfill \\ 560\hfill & 70\hfill \\ 590\hfill & 105\hfill \\ 610\hfill & 65\hfill \\ 680\hfill & 80\hfill \\ 720\hfill & 90\hfill \\ \hline\end{array}$

(b)

To determine

To graph: The data to find the least squares regression line of the number of calories and the amount of cholesterol for selected fast food hamburgers.

$\begin{array}{|ll|}\hline \begin{array}{l}\text{Hamburger}\\ \text{calories}\end{array}\hfill & \begin{array}{l}\text{Cholesterol}\\ \text{ (mg)}\end{array}\hfill \\ 220\hfill & 35\hfill \\ 420\hfill & 50\hfill \\ 460\hfill & 50\hfill \\ 480\hfill & 60\hfill \\ 560\hfill & 70\hfill \\ 590\hfill & 105\hfill \\ 610\hfill & 65\hfill \\ 680\hfill & 80\hfill \\ 720\hfill & 90\hfill \\ \hline\end{array}$

(c)

To determine

To calculate : The amount of cholesterol in a hamburger with $650\text{ calories}$ by using the regression line. Round to the nearest milligram.