Match the coefficient of determination to the scatter diagram. The scales on the x-axis and y-axis are the same for each scatter diagram. (a) R2 = 1, (b) R2 = 0.58, (c) R2 = 0.90 (a) Scatter diagram Explanatory (b) Scatter diagram (c) Scatter diagram Explanatory II Explanatory

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**Text Transcription for Educational Website**

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**Title: Understanding Coefficient of Determination through Scatter Diagrams**

**Instruction:**
Match the coefficient of determination to the scatter diagram. The scales on the x-axis and y-axis are the same for each scatter diagram.

- (a) \( R^2 = 1 \)
- (b) \( R^2 = 0.58 \)
- (c) \( R^2 = 0.90 \)

**Options:**

- (a) Scatter diagram [Dropdown]
- (b) Scatter diagram [Dropdown]
- (c) Scatter diagram [Dropdown]

**Scatter Diagrams:**

1. **Diagram I:**
   - Displays a line where most of the data points closely align with the regression line, suggesting a strong correlation.
   
2. **Diagram II:**
   - Shows a perfect alignment of data points with the regression line, indicating a perfect correlation.
   
3. **Diagram III:**
   - Illustrates a scenario where data points are more widely scattered around the regression line, showing a weaker correlation compared to the others.

**Note:** The regression lines are in blue across all diagrams, with identical x-axis and y-axis scales labeled as "Explanatory" and "Response," respectively.
Transcribed Image Text:**Text Transcription for Educational Website** --- **Title: Understanding Coefficient of Determination through Scatter Diagrams** **Instruction:** Match the coefficient of determination to the scatter diagram. The scales on the x-axis and y-axis are the same for each scatter diagram. - (a) \( R^2 = 1 \) - (b) \( R^2 = 0.58 \) - (c) \( R^2 = 0.90 \) **Options:** - (a) Scatter diagram [Dropdown] - (b) Scatter diagram [Dropdown] - (c) Scatter diagram [Dropdown] **Scatter Diagrams:** 1. **Diagram I:** - Displays a line where most of the data points closely align with the regression line, suggesting a strong correlation. 2. **Diagram II:** - Shows a perfect alignment of data points with the regression line, indicating a perfect correlation. 3. **Diagram III:** - Illustrates a scenario where data points are more widely scattered around the regression line, showing a weaker correlation compared to the others. **Note:** The regression lines are in blue across all diagrams, with identical x-axis and y-axis scales labeled as "Explanatory" and "Response," respectively.
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