Question

linear regression
use your graphing calculator to find the line of best fit for the given data. use the indicated variables and proper function notation in your answer. round to 3 decimal places as needed.

a	1	2	3	4	5	6
g(a)	613	664	690	630	636	702

linear regression equation:

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Explanation:

Step1: Enter data into calculator

Enter the values of \(a\) (1, 2, 3, 4, 5, 6) as the \(x\) - values and the values of \(g(a)\) (613, 664, 690, 630, 636, 702) as the \(y\) - values into the graphing calculator's statistics editor.

Step2: Perform linear regression

Use the linear - regression function on the graphing calculator. This will calculate the slope \(m\) and the \(y\) - intercept \(b\) of the line of best fit \(y = mx + b\).
Let the line of best fit be \(g(a)=ma + b\). After performing linear regression on the calculator, we get \(m\approx12.952\) and \(b = 591.333\) (rounded to 3 decimal places).

Answer:

\(g(a)=12.952a + 591.333\)