The manager of a salmon cannery suspects that the demand for her product is closely related to the disposable income of her target region. To test out this hypothesis she collected the following data for five different target regions, where x represents the annual disposable income for a region in millions of dollars and y represents sales volume in thousands of cases. y I 4. 10 1 20 3 3. 40 4. 50 30 1 10 30 40 50 (a) Draw the scatter graph of this set of data. (h) Compute the correlation coefficient r. (c) Find and graph the least square line. 20

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

Can anyone help me with this question

**9. Analysis of Sales Volume and Disposable Income**

The manager of a salmon cannery suspects that the demand for her product is closely related to the disposable income of her target region. To test this hypothesis, she collected the following data for five different target regions:

- \( x \): Represents the annual disposable income for a region in millions of dollars
- \( y \): Represents sales volume in thousands of cases

The data is represented in the table below:

| \( x \) (Millions of dollars) | \( y \) (Thousands of cases) |
|:-----------------------------:|:---------------------------:|
|              10               |              1              |
|              20               |              3              |
|              40               |              4              |
|              50               |              5              |
|              30               |              2              |

Tasks:

(a) **Draw the Scatter Graph**: Plot the given set of data on a graph with \( x \) on the horizontal axis and \( y \) on the vertical axis.

(b) **Compute the Correlation Coefficient (\( r \))**: Calculate the correlation coefficient to determine the strength and direction of the relationship between disposable income and sales volume.

(c) **Find and Graph the Least Squares Line**: Determine the line of best fit for the data and graph it.

(d) **Predict Sales Volume**: If a region has disposable annual income of $25,000,000, predict the sales volume.

**Graph Explanation**: The scatter plot grid provided allows for visual representation of the data points and aids in plotting the line of best fit. Each axis is labeled with the corresponding variable and increment.
Transcribed Image Text:**9. Analysis of Sales Volume and Disposable Income** The manager of a salmon cannery suspects that the demand for her product is closely related to the disposable income of her target region. To test this hypothesis, she collected the following data for five different target regions: - \( x \): Represents the annual disposable income for a region in millions of dollars - \( y \): Represents sales volume in thousands of cases The data is represented in the table below: | \( x \) (Millions of dollars) | \( y \) (Thousands of cases) | |:-----------------------------:|:---------------------------:| | 10 | 1 | | 20 | 3 | | 40 | 4 | | 50 | 5 | | 30 | 2 | Tasks: (a) **Draw the Scatter Graph**: Plot the given set of data on a graph with \( x \) on the horizontal axis and \( y \) on the vertical axis. (b) **Compute the Correlation Coefficient (\( r \))**: Calculate the correlation coefficient to determine the strength and direction of the relationship between disposable income and sales volume. (c) **Find and Graph the Least Squares Line**: Determine the line of best fit for the data and graph it. (d) **Predict Sales Volume**: If a region has disposable annual income of $25,000,000, predict the sales volume. **Graph Explanation**: The scatter plot grid provided allows for visual representation of the data points and aids in plotting the line of best fit. Each axis is labeled with the corresponding variable and increment.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman