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To determine the slope of the linear regression line formed by the points given in the table (Concentration vs. Absorbance), we need to perform a linear regression analysis, where:

- **Concentration (M)** is the independent variable (x)
- **Absorbance** is the dependent variable (y)

The table data is:

| Concentration (M) | Absorbance |
|-------------------|------------|
| 0.0149            | 0.1045     |
| 0.0298            | 0.03661    |
| 0.0596            | 0.4464     |
| 0.119             | 0.9041     |
| 0.238             | 1.508      |

Let's calculate the slope (m) of the linear regression line.The slope of the linear regression line is approximately **6.66 M⁻¹**, and the y-intercept is approximately **-0.0141**.

Would you like further details on how the slope and intercept were calculated or additional assistance?

Here are five related questions to expand on this topic:
1. How does the slope of a linear regression line relate to the physical properties of the system?
2. What does the negative y-intercept imply in this spectroscopic context?
3. How can we calculate the uncertainty in the slope of the regression line?
4. How would the graph look for this set of data points and the best-fit line?
5. How does changing the units of concentration affect the slope of the line?

**Tip:** Always check the residuals (the differences between observed and predicted values) to assess how well the regression model fits the data.

What is the slope of the linear regression line formed by these points: Concentration (M) vs. Absorbance?

Perform linear regression analysis on a set of concentration and absorbance data to determine the slope and intercept of the best-fit line. This problem focuses on finding the slope using data points from a spectroscopy experiment. Suitable for high school and undergraduate students.

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