Answer all questions below show your ### Analyzing Retailers' Sales and ProfitsThe table below illustrates the total sales (revenue) and corresponding profits for eight retailers:#### Total sales and revenues for 8 retailers| Company | Total Sales (millions of $) | Profits (millions of $) ||----------|-----------------------------|-------------------------|| Adams | 9.5 | 0.5 || Browns | 22.0 | 1.4 || Clay | 35.0 | 1.8 || Domers | 64.0 | 3.0 || Esters | 27.5 | 0.9 || Framer | 45.0 | 2.6 || Gillies | 15.0 | 0.8 || Hays | 57.0 | 2.2 |Given the data above, we want to model the revenue $p$ based on total sales $t$. A reasonable model for the relationship is:\[ p = 0.04t + 0.17 \]### a) Constructing a ScatterplotA scatterplot is a graphical representation of two variables' values. You will plot Total Sales on the x-axis and Profits on the y-axis. Each company’s data forms a point on the graph.(Detailed steps for constructing the scatterplot are not shown, but it involves placing each company's (Total Sales, Profits) coordinates appropriately on a graph.)### c) Characteristics of the AssociationWhen describing the association between total sales and profits, consider these four characteristics:1. **Outliers or Not Outliers**: Determine if there are any points that deviate significantly from the general pattern of the data. - [To be filled in based on observation from scatterplot]2. **Linear or Non-linear**: Identify if the relationship between sales and profits appears to follow a straight line or curves. - [To be filled in based on observation from scatterplot]3. **Strength**: Assess how closely the data points fit the model; a stronger association means points are closer to the model line. - [To be filled in based on observation from scatterplot]4. **Direction**: Determine whether the relationship is positive (both variables increase together) or negative

Scatter plot is used to measure the strength of association between the two variables. Scatter plot…

4.- The following table gives the total sales (revenue) and profits of 8 retailers Total sales and revenues for 8 retailers . Company Total sales Profits (millions of $) (millions of $) Adams 9.5 0.5 Browns 22.0 1.4 Clay 35.0 1.8 Domers 64.0 3.0 Esters 27.5 0.9 Framer 45.0 2.6 Gillies 15.0 0.8 Hays 57.0 2.2 Let p be the revenue of profits for 8 retailers at t total sales. A reasonable model is p = 0.04t+ 0.17 a) Construct a scatterplot. c) [ ] Describe the four characteristics of the association. You don't need to computer a)Outliers or not outliers? c) Strength b) Linear or non-linear? dj Direction: What does it mean in this situation?

4.- The following table gives the total sales (revenue) and profits of 8 retailers Total sales and revenues for 8 retailers . Company Total sales Profits (millions of $) (millions of $) Adams 9.5 0.5 Browns 22.0 1.4 Clay 35.0 1.8 Domers 64.0 3.0 Esters 27.5 0.9 Framer 45.0 2.6 Gillies 15.0 0.8 Hays 57.0 2.2 Let p be the revenue of profits for 8 retailers at t total sales. A reasonable model is p = 0.04t+ 0.17 a) Construct a scatterplot. c) [ ] Describe the four characteristics of the association. You don't need to computer a)Outliers or not outliers? c) Strength b) Linear or non-linear? dj Direction: What does it mean in this situation?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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### Analyzing Retailers' Sales and Profits

The table below illustrates the total sales (revenue) and corresponding profits for eight retailers:

#### Total sales and revenues for 8 retailers

| Company | Total Sales (millions of $) | Profits (millions of $) |
|----------|-----------------------------|-------------------------|
| Adams | 9.5 | 0.5 |
| Browns | 22.0 | 1.4 |
| Clay | 35.0 | 1.8 |
| Domers | 64.0 | 3.0 |
| Esters | 27.5 | 0.9 |
| Framer | 45.0 | 2.6 |
| Gillies | 15.0 | 0.8 |
| Hays | 57.0 | 2.2 |

Given the data above, we want to model the revenue $p$ based on total sales $t$. A reasonable model for the relationship is:
\[ p = 0.04t + 0.17 \]

### a) Constructing a Scatterplot

A scatterplot is a graphical representation of two variables' values. You will plot Total Sales on the x-axis and Profits on the y-axis. Each company’s data forms a point on the graph.

(Detailed steps for constructing the scatterplot are not shown, but it involves placing each company's (Total Sales, Profits) coordinates appropriately on a graph.)

### c) Characteristics of the Association

When describing the association between total sales and profits, consider these four characteristics:

1. **Outliers or Not Outliers**: Determine if there are any points that deviate significantly from the general pattern of the data.

- [To be filled in based on observation from scatterplot]

2. **Linear or Non-linear**: Identify if the relationship between sales and profits appears to follow a straight line or curves.

- [To be filled in based on observation from scatterplot]

3. **Strength**: Assess how closely the data points fit the model; a stronger association means points are closer to the model line.

- [To be filled in based on observation from scatterplot]

4. **Direction**: Determine whether the relationship is positive (both variables increase together) or negative

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