Use the regression capabilities of a graphing calculator to find the equation of the line of best fit. Round values off to the nearest hundredth. 14 15 42.8 43.1 2 4 10 13 11.9 16.5 28.6 33.1 39.8

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**Using a Graphing Calculator for Linear Regression**

To find the equation of the line of best fit using the regression capabilities of a graphing calculator, follow these steps with the given data set. Remember to round all values to the nearest hundredth.

**Data Table:**

| \( x \) | \( y \)  |
|---------|----------|
| 2       | 11.9     |
| 4       | 16.5     |
| 9       | 28.6     |
| 10      | 33.1     |
| 13      | 39.8     |
| 14      | 43.1     |
| 15      | 42.8     |

1. **Enter the Data:**
   - Input the \( x \) values into List 1 (L1) and the \( y \) values into List 2 (L2) on the graphing calculator.

2. **Perform Linear Regression:**
   - Access the regression calculation function, usually found under the STAT or CALC menu.
   - Choose the linear regression option (often labeled as LinReg) to calculate the line of best fit.

3. **Interpret the Results:**
   - The calculator will provide an equation of the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
   - Use this equation to make predictions or analyze the relationship between the variables.

This method provides a mathematical way to model and understand the relationship between two quantitative variables.
Transcribed Image Text:**Using a Graphing Calculator for Linear Regression** To find the equation of the line of best fit using the regression capabilities of a graphing calculator, follow these steps with the given data set. Remember to round all values to the nearest hundredth. **Data Table:** | \( x \) | \( y \) | |---------|----------| | 2 | 11.9 | | 4 | 16.5 | | 9 | 28.6 | | 10 | 33.1 | | 13 | 39.8 | | 14 | 43.1 | | 15 | 42.8 | 1. **Enter the Data:** - Input the \( x \) values into List 1 (L1) and the \( y \) values into List 2 (L2) on the graphing calculator. 2. **Perform Linear Regression:** - Access the regression calculation function, usually found under the STAT or CALC menu. - Choose the linear regression option (often labeled as LinReg) to calculate the line of best fit. 3. **Interpret the Results:** - The calculator will provide an equation of the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. - Use this equation to make predictions or analyze the relationship between the variables. This method provides a mathematical way to model and understand the relationship between two quantitative variables.
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