Read the lab manual G-5 thoroughly. You will be asked to draw graphs using Excel Spreadsheet. A review of lab G-2 may be necessary if you don't remember how to draw a scientific graph or data fitting using Excel. Make a table in Excel Spreadsheet for the following data:

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**Prelab: Review of Graphic Analysis**

**Instructions:**

1. **Read the lab manual G-5 thoroughly.**

2. **Graphing Task:**
   - You will be asked to draw graphs using Excel Spreadsheet. A review of lab G-2 may be necessary if you don’t remember how to draw a scientific graph or data fitting using Excel.
   - Create a table in Excel Spreadsheet for the following data:

   | Time (sec) | Position (cm) |
   |------------|---------------|
   | 1.6        | 2.5           |
   | 2.5        | 3.0           |
   | 3.1        | 3.6           |
   | 3.8        | 3.8           |
   | 4.6        | 4.4           |

3. **Using Excel’s "Linest" Function:**
   - Fit the data in a linear equation using the “Linest” function in Excel. This should give you the slope, the intercept, their uncertainties, and R² (a measure of fit accuracy). Refer to lab manual G-2 if needed.
   
4. **Plotting Data:**
   - Construct a plot of position versus time with time on the horizontal axis and position on the vertical axis. Add a “trendline” and include its equation on the graph.
   - Compare the slope and intercept values from the trendline equation with those from the "Linest" function. Confirm if they agree.

5. **Print and Attach:**
   - Print the table and graph, then attach to this sheet.

6. **Analyzing Data Relationships:**
   - When data is related as \( I = Ae^{ct} \) and you take a logarithm on both sides, what relationship is represented?

     \[ \ln I = \]

   - For given data, if you treat \( \ln I \) as \( y \), and \( t \) as \( x \), determine the relationship of \( \ln I \) to \( t \). Identify the y-intercept and slope using the equation's symbols:

     - The y-intercept is:
     - The slope is:

   - If \( \ln A = 3.45 \), then calculate \( A = \) 

**Note:** Ensure accurate data entry and correct usage of Excel tools for precise results.
Transcribed Image Text:**Prelab: Review of Graphic Analysis** **Instructions:** 1. **Read the lab manual G-5 thoroughly.** 2. **Graphing Task:** - You will be asked to draw graphs using Excel Spreadsheet. A review of lab G-2 may be necessary if you don’t remember how to draw a scientific graph or data fitting using Excel. - Create a table in Excel Spreadsheet for the following data: | Time (sec) | Position (cm) | |------------|---------------| | 1.6 | 2.5 | | 2.5 | 3.0 | | 3.1 | 3.6 | | 3.8 | 3.8 | | 4.6 | 4.4 | 3. **Using Excel’s "Linest" Function:** - Fit the data in a linear equation using the “Linest” function in Excel. This should give you the slope, the intercept, their uncertainties, and R² (a measure of fit accuracy). Refer to lab manual G-2 if needed. 4. **Plotting Data:** - Construct a plot of position versus time with time on the horizontal axis and position on the vertical axis. Add a “trendline” and include its equation on the graph. - Compare the slope and intercept values from the trendline equation with those from the "Linest" function. Confirm if they agree. 5. **Print and Attach:** - Print the table and graph, then attach to this sheet. 6. **Analyzing Data Relationships:** - When data is related as \( I = Ae^{ct} \) and you take a logarithm on both sides, what relationship is represented? \[ \ln I = \] - For given data, if you treat \( \ln I \) as \( y \), and \( t \) as \( x \), determine the relationship of \( \ln I \) to \( t \). Identify the y-intercept and slope using the equation's symbols: - The y-intercept is: - The slope is: - If \( \ln A = 3.45 \), then calculate \( A = \) **Note:** Ensure accurate data entry and correct usage of Excel tools for precise results.
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