Question

For many people, breakfast cereal is an important source of fiber in their diets. Cereals also contain potassium, a mineral shown to be associated with maintaining a healthy blood pressure. An analysis of the amount of fiber (in grams) and the potassium content (in milligrams) in servings of 77 breakfast cereals produced the regression model Potassium=39+27Fiber. *If your cereal provides 8 grams of fiber per serving, how much potassium does the model estimate you will get? ______________milligrams of potassium

Answer 1

255 milligrams of potassium

Step-by-step explanation:
`\begin{gathered} \text{The regression model:} \\ Potassium\text{ = 39 + 27 Fiber} \\ \\ \text{where Potassium is in milligrams} \\ \text{Fiber is in grams} \end{gathered}`
`\begin{gathered} \text{Amount of fiber = 8 grams of per serving } \\ \text{replace Fiber with 8 in the model:} \\ \text{Potassium = 39 + 27(8)} \end{gathered}`
`\begin{gathered} Amount\text{ of Potassium in the model:} \\ \text{Potassium = 39 + 216} \\ \text{Potassium = 255} \end{gathered}`

It is estimated to get 255 milligrams of potassium from the 8 grams of fiber