Chapter 1, Problem 30RE

(a)

To determine

To calculate: The number of sale on the website is predicted by the model when the number of visitors is $60,000$ also calculates when visitors are $100,000$ and $160,000$, if the model which predict the sale as the function of website traffic (thousands of visits per day) observed by the sales manager is,

$s\left(x\right)=\{\begin{array}{l}1.55x\text{ if }0\le x\le 100\\ 1.75x-20\text{ if }100<x\le 250\end{array}$

Where the average number of books sold in a day is represented by $s\left(x\right)$ and x is the number of visitors in thousands.

(b)

To determine

The significance of the coefficient $1.75$, if the model which predict the sale as the function of website traffic (thousands of visits per day) observed by the sales manager is,

$s\left(x\right)=\{\begin{array}{l}1.55x\text{ if }0\le x\le 100\\ 1.75x-20\text{ if }100<x\le 250\end{array}$

Where the average number of books sold in a day is represented by $s\left(x\right)$ and x is the number of visitors in thousands.

(c)

To determine

To calculate: The number of visitors per day on the website is necessary for the sale of $300$ books per day, if the model which predict the sale as the function of website traffic (thousands of visits per day) observed by the sales manager is,

$s\left(x\right)=\{\begin{array}{l}1.55x\text{ if }0\le x\le 100\\ 1.75x-20\text{ if }100<x\le 250\end{array}$

Where the average number of books sold in a day is represented by $s\left(x\right)$ and x is the number of visitors in thousands.