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It looks like you've uploaded a question related to creating and analyzing scatterplots using data from tables. Based on the image, it asks for the selection of graphs that match the data from each table and to determine the behavior (Moderately Linear or Most Linear).

### The three tables have these values:

1. **First Table (x, f(x)):**
   - (400, -7131), (420, -7379), (440, -8008), (460, -8088), (480, -8571), (500, -8931)
   
2. **Second Table (x, f(x)):**
   - (400, -101), (420, -197), (440, -357), (460, -581), (480, -730), (500, -1221)
   
3. **Third Table (x, f(x)):**
   - (400, -3531), (420, -2969), (440, -4864), (460, -2646), (480, -4251), (500, -4431)

### Steps for Creating Scatterplots:

1. **Plot the points**: Use the values of \(x\) and \(f(x)\) from each table to plot the points on a coordinate system.
2. **Analyze the linearity**:
   - If the points lie close to a straight line, then the data is "Most Linear."
   - If the points generally follow a straight line but have some deviation, then the data is "Moderately Linear."

### Initial Analysis:

- **First Table**: The \(f(x)\) values decrease rapidly, and the data looks like it would fit a linear trend well, especially considering the steady decline in values. This could be a "Most Linear" graph.
  
- **Second Table**: The values decrease steadily, but the change is smaller compared to the first table, indicating a potentially "Moderately Linear" trend.
  
- **Third Table**: The values fluctuate more, indicating it might not follow a perfectly straight line. This might make it "Moderately Linear" or even less linear than the second.

### Next Steps:

To verify, you can plot these values or match them to the provided graphs in your platform.

Would you like help plotting these values or further details about analyzing scatterplots?

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Here are some follow-up questions to enhance your understanding:

1. How would you calculate the slope for each dataset?
2. What is the significance of linear regression in determining the trend?
3. Can you identify if any of the tables might represent exponential behavior instead of linear?
4. How would you interpret a "Moderately Linear" dataset visually?
5. Could you describe the behavior of a dataset that is "not linear" at all?

**Tip:** For scatterplots, the closer the points are to a straight line, the higher the linearity (check the residuals to confirm this).

Create Scatterplots for each of the tables of data below using x and f(x) values. Then, determine which of the graphs most closely matches each table. Classify the behavior as either Moderately Linear or Most Linear.

Learn how to create scatterplots from given data tables and analyze their linearity. Explore datasets with x and f(x) values, and determine if they are moderately or most linear. This guide includes methods for determining linear trends in data.

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