### Educational Content: Scatter Diagrams and Statistical Analysis#### Scatter DiagramsThe image displays two scatter diagrams labeled C and D.**Graph C:**- **X-Axis (x):** Ranges from 0 to 50 with intervals of 10.- **Y-Axis (y):** Ranges from 0 to 70 with intervals of 10.- **Data Points:** There are five data points with the following coordinates: - (5, 50) - (5, 40) - (5, 30) - (5, 20)**Graph D:**- **X-Axis (x):** Similar to Graph C, ranging from 0 to 50.- **Y-Axis (y):** Also ranges from 0 to 70.- **Data Points:** Similar to Graph C, the points are: - (5, 50) - (15, 40) - (25, 30) - (35, 20)#### Questions and Analysis**b.** *What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?*- **Drop-Down Answer Selection****c.** *Compute the sample covariance (to 1 decimal and enter negative value as negative figure).*- **Input Box for Answer***Interpret the sample covariance.*- **Drop-Down Answer Selection****d.** *Compute the sample correlation coefficient (to 3 decimals and enter negative value as negative figure).*- **Input Box for Answer***Interpret the sample correlation coefficient. Hint: If the correlation coefficient is greater than 0.80 or less than -0.80, there is a strong relationship.*- **Drop-Down Answer Selection** Five observations taken for two variables follow.| $ x_i $ | 4 | 5 | 11 | 4 | 13 ||-----------|---|---|----|---|----|| $ y_i $ | 40 | 50 | 30 | 50 | 20 |**a. Which of the following scatter diagrams accurately represents the data set?****Scatter Diagram A:**- The x-axis ranges from 0 to 40 with some points plotted at values: 4, 11, and 13.- The y-axis ranges from 0 to 60 with some points at values: 20, 30, 40, and 50.- The points shown do not clearly represent the given data set across the x-axis.**Scatter Diagram B:**- The x-axis ranges from 0 to 40 with the following points: 4, 5, 11, 13.- The y-axis ranges from 0 to 60 with points at values: 20, 30, 40, and 50.- The points depicted correspond accurately to the pairs (4, 40), (5, 50), (11, 30), (4, 50), and (13, 20).The correct scatter diagram representing the data is Diagram B.

“Since you have posted a question with multiple sub parts, we will provide the solution only to the…

- Select your answer - c. Compute the sample covariance (to 1 decimal and enter negative value as negative figure). Interpret the sample covariance. Select your answer - d. Compute the sample correlation coefficient (to 3 decimals and enter negative value as negative figure). Interpret the sample correlation coefficient. Hint: If the correlation coefficient is greater than 0.80 or less than -0.80, there is a strong relationship. Select your answer -

- Select your answer - c. Compute the sample covariance (to 1 decimal and enter negative value as negative figure). Interpret the sample covariance. Select your answer - d. Compute the sample correlation coefficient (to 3 decimals and enter negative value as negative figure). Interpret the sample correlation coefficient. Hint: If the correlation coefficient is greater than 0.80 or less than -0.80, there is a strong relationship. Select your answer -

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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Question

### Educational Content: Scatter Diagrams and Statistical Analysis

#### Scatter Diagrams

The image displays two scatter diagrams labeled C and D.

**Graph C:**

- **X-Axis (x):** Ranges from 0 to 50 with intervals of 10.
- **Y-Axis (y):** Ranges from 0 to 70 with intervals of 10.
- **Data Points:** There are five data points with the following coordinates:
- (5, 50)
- (5, 40)
- (5, 30)
- (5, 20)

**Graph D:**

- **X-Axis (x):** Similar to Graph C, ranging from 0 to 50.
- **Y-Axis (y):** Also ranges from 0 to 70.
- **Data Points:** Similar to Graph C, the points are:
- (5, 50)
- (15, 40)
- (25, 30)
- (35, 20)

#### Questions and Analysis

**b.** *What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?*
- **Drop-Down Answer Selection**

**c.** *Compute the sample covariance (to 1 decimal and enter negative value as negative figure).*

- **Input Box for Answer**

*Interpret the sample covariance.*
- **Drop-Down Answer Selection**

**d.** *Compute the sample correlation coefficient (to 3 decimals and enter negative value as negative figure).*

- **Input Box for Answer**

*Interpret the sample correlation coefficient. Hint: If the correlation coefficient is greater than 0.80 or less than -0.80, there is a strong relationship.*

- **Drop-Down Answer Selection**

Five observations taken for two variables follow.

| $ x_i $ | 4 | 5 | 11 | 4 | 13 |
|-----------|---|---|----|---|----|
| $ y_i $ | 40 | 50 | 30 | 50 | 20 |

**a. Which of the following scatter diagrams accurately represents the data set?**

**Scatter Diagram A:**

- The x-axis ranges from 0 to 40 with some points plotted at values: 4, 11, and 13.
- The y-axis ranges from 0 to 60 with some points at values: 20, 30, 40, and 50.
- The points shown do not clearly represent the given data set across the x-axis.

**Scatter Diagram B:**

- The x-axis ranges from 0 to 40 with the following points: 4, 5, 11, 13.
- The y-axis ranges from 0 to 60 with points at values: 20, 30, 40, and 50.
- The points depicted correspond accurately to the pairs (4, 40), (5, 50), (11, 30), (4, 50), and (13, 20).

The correct scatter diagram representing the data is Diagram B.

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