To find the equation of the linear regression line that best fits your data on a TI-84, follow these steps:

Data Entry:

1. Turn on your TI-84 and press the STAT button.
2. Enter the data into the lists:
   • Press 1 for Edit.
   • In L1, input your x values: 1, 2, 3, 4, 5, 6.
   • In L2, input your y values: 730, 695, 716, 737, 722, 751.

Perform Linear Regression:

3. Press STAT again, then use the arrow keys to highlight CALC.

4. Select 4: LinReg(ax+b) by pressing 4.

   Alternatively, you can type LinReg(ax+b) manually by pressing ALPHA, TRACE, and then selecting the LinReg(ax+b) function.

5. Set the calculation options:

   • You should see the screen asking for LinReg(ax+b).
   • Leave the default setting (Y1) to store the regression line into the function, or you can press VARS, then Y-VARS to store it into a different slot.

6. Execute the calculation:

   • Press ENTER.

View the Output:

After performing the linear regression, the TI-84 will display the values of a (slope) and b (y-intercept). The linear regression equation will be in the form:

$y = ax + b$

For example, if the result shows: $a = 5.64, \quad b = 710.23$

Your regression equation would be:

$y = 5.64x + 710.23$

Final Answer:

If you follow these steps, you’ll get the equation of the linear regression for the given data. You can round the numbers to two decimal places, as required.

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Let me know if you'd like further clarification on any step or if you have any other questions! Here's some related practice:

Related Questions:

1. How do I calculate the correlation coefficient (r) for this data?
2. How do I perform quadratic regression on the TI-84?
3. How do I interpret the slope of the regression equation in the context of this data?
4. How do I predict a value of y for a given x using this regression equation?
5. What does the r^2 value represent in linear regression?

Tip: Always check for outliers before performing regression analysis, as they can significantly affect the accuracy of the model.