To determine the equation of the line of best fit for the provided data, you'll typically use a spreadsheet software like Microsoft Excel or Google Sheets. Since I can't directly operate a spreadsheet, I’ll guide you through the steps to calculate the line of best fit.
Steps to Find the Equation of the Line of Best Fit:
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Input Your Data: Enter your x-values and y-values into two separate columns.
- For instance:
Column A (x values): 2, 3, 4, 5 Column B (y values): 10.5, 11, ...
- For instance:
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Select Your Data: Highlight the cells that contain your x-values and y-values.
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Insert a Scatter Plot:
- In Excel: Click on the "Insert" tab, find the "Charts" section, and select "Scatter."
- In Google Sheets: Click on "Insert," then "Chart," and choose the "Scatter chart" type.
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Add a Trendline:
- In Excel: Click on the scatter plot, then click on the "+" icon next to the chart to access Chart Elements, and check "Trendline." Select "More Options..." to choose the linear trendline.
- In Google Sheets: Click on the chart, then click on the "Customize" tab in the Chart editor. Under "Series," check "Trendline," and select "Linear."
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Display the Equation:
- In Excel: Under the Trendline options, check the box for "Display Equation on chart."
- In Google Sheets: Choose "Label" and select "Use Equation."
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Obtain the Equation:
- The equation will typically appear in the form \( y = mx + b \) where \( m \) is the slope, and \( b \) is the y-intercept.
Example of Finding the Equation:
If the output of your trendline is something like \( y = 2.3x + 9.4 \), that would mean:
- Slope (m) = 2.3
- Y-intercept (b) = 9.4
Final Equation:
Once you have the values, round them to the nearest hundredth if needed, as specified in your problem.
Note: Make sure to input the correct data for y-values as the example provided does not clarify y-values for each x. Provide complete y-values for accurate calculations.