Based on the data, calculate the average water density using the trendline equation (y=0.867x + 1011). Then compare it with the theoretical value for density of water (1g/cm^3)

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Chapter1: Units, Trigonometry. And Vectors
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Based on the data, calculate the average water density using the trendline equation (y=0.867x + 1011). Then compare it with the theoretical value for density of water (1g/cm^3)
The data and graph provided illustrate the relationship between pressure (hPa) and depth (cm). The data table is as follows:

| Depth (cm) | Pressure (hPa) |
|------------|----------------|
| 0          | 1010.81        |
| 2.54       | 1012.157       |
| 3.81       | 1014.261       |
| 5.08       | 1015.028       |

The accompanying graph "Pressure (hPa) vs. Depth (cm)" plots the pressure in hPa as a function of depth in centimeters. The graph is a scatter plot with a trend line fitted to the data points. 

- **X-axis (horizontal):** Represents the depth in centimeters, ranging from 0 to 5.
- **Y-axis (vertical):** Represents pressure in hectopascals (hPa), ranging from 1010 to 1017.
- **Data Points:** Each point on the graph corresponds to a measurement from the data table.
- **Trend Line Equation:** The equation of the line is given as \( y = 0.867x + 1011 \).

This equation indicates a linear relationship between pressure and depth, where pressure increases by approximately 0.867 hPa for each centimeter of depth. The graph visually confirms this linear progression and demonstrates the direct proportionality between depth and pressure.
Transcribed Image Text:The data and graph provided illustrate the relationship between pressure (hPa) and depth (cm). The data table is as follows: | Depth (cm) | Pressure (hPa) | |------------|----------------| | 0 | 1010.81 | | 2.54 | 1012.157 | | 3.81 | 1014.261 | | 5.08 | 1015.028 | The accompanying graph "Pressure (hPa) vs. Depth (cm)" plots the pressure in hPa as a function of depth in centimeters. The graph is a scatter plot with a trend line fitted to the data points. - **X-axis (horizontal):** Represents the depth in centimeters, ranging from 0 to 5. - **Y-axis (vertical):** Represents pressure in hectopascals (hPa), ranging from 1010 to 1017. - **Data Points:** Each point on the graph corresponds to a measurement from the data table. - **Trend Line Equation:** The equation of the line is given as \( y = 0.867x + 1011 \). This equation indicates a linear relationship between pressure and depth, where pressure increases by approximately 0.867 hPa for each centimeter of depth. The graph visually confirms this linear progression and demonstrates the direct proportionality between depth and pressure.
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