Data from a small bookstore are shown in the accompanying table. What is the value of R squared and what does it​ mean? What is the value of R squared ? What does the value of R squared mean?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Data from a small bookstore are shown in the accompanying table. What is the value of R squared and what does it​ mean? What is the value of R squared ? What does the value of R squared mean?

The table displays the relationship between the number of salespeople working and the corresponding sales figures, measured in thousands of dollars.

**Table Overview:**

| Number of Salespeople Working | Sales (in $1000) |
|-------------------------------|-------------------|
| 2                             | 10                |
| 4                             | 11                |
| 7                             | 13                |
| 9                             | 14                |
| 10                            | 19                |
| 10                            | 21                |
| 12                            | 21                |
| 14                            | 23                |
| 16                            | 23                |
| 18                            | 27                |

**Statistical Summary:**

- **Mean Number of Salespeople (\( \overline{x} \)):** 10.2
- **Standard Deviation of Number of Salespeople (SD(x)):** 5.05
- **Mean Sales (\( \overline{y} \)):** 18.2
- **Standard Deviation of Sales (SD(y)):** 5.81

### Analysis:

- The table suggests a positive correlation between the number of salespeople and sales revenue, indicating that sales generally increase as more salespeople are employed.
- The means and standard deviations provided offer insight into the average values and variability within the data sets. 

This data can be used to analyze the efficiency of manpower in sales and help in making informed business decisions regarding staffing and projected sales performance.
Transcribed Image Text:The table displays the relationship between the number of salespeople working and the corresponding sales figures, measured in thousands of dollars. **Table Overview:** | Number of Salespeople Working | Sales (in $1000) | |-------------------------------|-------------------| | 2 | 10 | | 4 | 11 | | 7 | 13 | | 9 | 14 | | 10 | 19 | | 10 | 21 | | 12 | 21 | | 14 | 23 | | 16 | 23 | | 18 | 27 | **Statistical Summary:** - **Mean Number of Salespeople (\( \overline{x} \)):** 10.2 - **Standard Deviation of Number of Salespeople (SD(x)):** 5.05 - **Mean Sales (\( \overline{y} \)):** 18.2 - **Standard Deviation of Sales (SD(y)):** 5.81 ### Analysis: - The table suggests a positive correlation between the number of salespeople and sales revenue, indicating that sales generally increase as more salespeople are employed. - The means and standard deviations provided offer insight into the average values and variability within the data sets. This data can be used to analyze the efficiency of manpower in sales and help in making informed business decisions regarding staffing and projected sales performance.
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