Question

1. use the linear regression function to find the equation of the line of best fit for the data in the table. enter the data into the table. type ( y_1 sim ax_1 + b ) to show the line of best fit for your data.

Explanation:

Step1: Input data into calculator

Use a graphing calculator or statistical software. Enter the \(x\)-values (\(1,2,4,5,7,8,9\)) into list \(x_1\) and \(y\)-values (\(5.4,6.1,8.1,8.5,10.3,10.9,11.5\)) into list \(y_1\).

Step2: Perform linear regression

On a TI - 84 Plus (similar for other calculators/software), go to STAT → CALC → LinReg(a x + b). Select \(x_1\) and \(y_1\) as the data lists.
The calculator will compute the values of \(a\) (slope) and \(b\) (y - intercept).
After calculation, \(a\approx0.857\) and \(b\approx4.571\)

Answer:

\(y = 0.857x+4.571\)