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

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**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.
Transcribed Image Text:**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.

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Transcribed Image Text:### 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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