.What is the slope of the line plotted using your data? What are the appropriate units of the slope(remember: the slope is rise over run–what units come from that?)?

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ANSWER THE QUESTION BY LOOKING AT THE DATA GIVEN IN THE PHOTO

1.What is the slope of the line plotted using your data? What are the appropriate units of the slope(remember: the slope is rise over run–what units come from that?)?

2.What physical property does the slope represent?

3.What is the y-intercept of the line plotted using your data? What are the units of the y-intercept?

4.Examine the data and the graph carefully and then comment on the accuracy of the y-intercept. What should the y-intercept be? (note: it is possible to force Excel to make a trendline with this feature. This could be useful in the future.)

5.What is the R2value for the graph of the data in Table 1? What does R2measure? Use the value of R2to comment on the precision of the data. Explain your reasoning!

6.Use the equation of the trend line to calculate the expected volume of a sample of the unknown substance with a mass of 47.19g. Show your work using correct units and significant figures for all numbers.

**Volume and Mass Data Table**

| Volume (mL) | Mass (g) |
|-------------|----------|
| 14.16       | 1.443    |
| 46.01       | 4.730    |
| 74.63       | 7.692    |
| 115.63      | 11.929   |
| 136.87      | 14.142   |
| 182.22      | 18.791   |

**Graph: Relation Between Volume and Mass**

- **Title**: Relation Between Volume and Mass
- **Axes**:
  - X-axis: Volume (mL) ranging from 0 to 200
  - Y-axis: Mass (g) ranging from 0 to 20

- **Data Representation**:
  - The graph is a scatter plot with six data points that represent the relationship between volume and mass.

- **Line of Best Fit**:
  - The line is a dotted straight line suggesting a linear relationship.
  - The equation of the line is given as \( y = 0.1033x - 0.0177 \).
  - The coefficient of determination (\( R^2 \)) is 1, indicating a perfect linear correlation between volume and mass.

This data and graph illustrate a direct, linear relationship between the volume of the substance and its mass, suggesting constant density throughout the measurements.
Transcribed Image Text:**Volume and Mass Data Table** | Volume (mL) | Mass (g) | |-------------|----------| | 14.16 | 1.443 | | 46.01 | 4.730 | | 74.63 | 7.692 | | 115.63 | 11.929 | | 136.87 | 14.142 | | 182.22 | 18.791 | **Graph: Relation Between Volume and Mass** - **Title**: Relation Between Volume and Mass - **Axes**: - X-axis: Volume (mL) ranging from 0 to 200 - Y-axis: Mass (g) ranging from 0 to 20 - **Data Representation**: - The graph is a scatter plot with six data points that represent the relationship between volume and mass. - **Line of Best Fit**: - The line is a dotted straight line suggesting a linear relationship. - The equation of the line is given as \( y = 0.1033x - 0.0177 \). - The coefficient of determination (\( R^2 \)) is 1, indicating a perfect linear correlation between volume and mass. This data and graph illustrate a direct, linear relationship between the volume of the substance and its mass, suggesting constant density throughout the measurements.
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