**Scatterplot Analysis**This image contains several scatterplots, each illustrating data points on a Cartesian grid, with axes labeled "x" and "y."1. **Scatterplot 4:** - The x-axis ranges from 0 to 1. - The y-axis ranges from 0 to 8. - Small blue data points scattered randomly, indicating a lack of a clear trend or correlation between x and y values.2. **Scatterplot 5:** - Similar x and y-axis ranges as Scatterplot 4. - Data points appear spread out without a discernible pattern or relationship between the variables.3. **Scatterplot 6 (bottom row):** - The x-axis ranges from 0 to 0.8. - The y-axis ranges from 0 to 8. - Points are forming a negative trend, suggesting a possible inverse relationship where y decreases as x increases.Each plot includes icons for zooming and expanding the view, which can be useful for a more detailed inspection.These scatterplots can be used to discuss different types of data distributions and the concept of correlation within an educational setting. ### Correlation Coefficient Matching Exercise#### Instructions:Match these values of the correlation coefficient $ r $ with the accompanying scatterplots:- $ r = -0.396 $- $ r = -0.766 $- $ r = -1 $- $ r = 0.766 $- $ r = 0.997 $#### Activity:Click the icon to view the scatterplots.#### Question:Match the values of $ r $ to the scatterplots:- **Scatterplot 1, $ r = $** - [Dropdown]- **Scatterplot 2, $ r = $** - [Dropdown]- **Scatterplot 3, $ r = $** - [Dropdown]- **Scatterplot 4, $ r = $** - [Dropdown]- **Scatterplot 5, $ r = $** - [Dropdown]#### Explanation:In this exercise, you will determine the strength and direction of linear relationships by matching correlation coefficients to scatterplots. Each scatterplot represents a dataset with varying degrees of correlation. The strength ranges from $ -1 $, indicating a perfect negative linear relationship, to $ 1 $, indicating a perfect positive linear relationship. A correlation of $ 0 $ signifies no linear relationship.Log in to your educational platform to submit your answers and receive immediate feedback.

If the line is towards in downward direction then there is a perfect negative linear relationship…

Match these values of r with the accompanying scatterplots: -0.396, -0.766, - 1,0.766, and 0 997 W Click the icon to view the scatterplots. Match the values of r to the scatterplots. Scatterplot 1, r = Scatterplot 2, r= Scatterplot 3, r= Scatterplot 4, r = Scatterplot 5

Match these values of r with the accompanying scatterplots: -0.396, -0.766, - 1,0.766, and 0 997 W Click the icon to view the scatterplots. Match the values of r to the scatterplots. Scatterplot 1, r = Scatterplot 2, r= Scatterplot 3, r= Scatterplot 4, r = Scatterplot 5

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

**Scatterplot Analysis**

This image contains several scatterplots, each illustrating data points on a Cartesian grid, with axes labeled "x" and "y."

1. **Scatterplot 4:**
- The x-axis ranges from 0 to 1.
- The y-axis ranges from 0 to 8.
- Small blue data points scattered randomly, indicating a lack of a clear trend or correlation between x and y values.

2. **Scatterplot 5:**
- Similar x and y-axis ranges as Scatterplot 4.
- Data points appear spread out without a discernible pattern or relationship between the variables.

3. **Scatterplot 6 (bottom row):**
- The x-axis ranges from 0 to 0.8.
- The y-axis ranges from 0 to 8.
- Points are forming a negative trend, suggesting a possible inverse relationship where y decreases as x increases.

Each plot includes icons for zooming and expanding the view, which can be useful for a more detailed inspection.

These scatterplots can be used to discuss different types of data distributions and the concept of correlation within an educational setting.

### Correlation Coefficient Matching Exercise

#### Instructions:
Match these values of the correlation coefficient $ r $ with the accompanying scatterplots:
- $ r = -0.396 $
- $ r = -0.766 $
- $ r = -1 $
- $ r = 0.766 $
- $ r = 0.997 $

#### Activity:
Click the icon to view the scatterplots.

#### Question:
Match the values of $ r $ to the scatterplots:

- **Scatterplot 1, $ r = $**
- [Dropdown]

- **Scatterplot 2, $ r = $**
- [Dropdown]

- **Scatterplot 3, $ r = $**
- [Dropdown]

- **Scatterplot 4, $ r = $**
- [Dropdown]

- **Scatterplot 5, $ r = $**
- [Dropdown]

#### Explanation:
In this exercise, you will determine the strength and direction of linear relationships by matching correlation coefficients to scatterplots. Each scatterplot represents a dataset with varying degrees of correlation. The strength ranges from $ -1 $, indicating a perfect negative linear relationship, to $ 1 $, indicating a perfect positive linear relationship. A correlation of $ 0 $ signifies no linear relationship.

Log in to your educational platform to submit your answers and receive immediate feedback.

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