Question

write a linear regression equation for the following data, rounding all coefficients to the nearest thousandth.

copy values for calculator
open statistics calculator

Explanation:

Step1: Input data into calculator

Use a statistics calculator. Input the \(x\)-values (\(4,8,12,15,18,19\)) and \(y\)-values (\(-35,-55,-85,-105,-95,-103\)).

Step2: Calculate regression equation

Run the linear regression function on the calculator. It will compute the slope (\(m\)) and the \(y\)-intercept (\(b\)) of the line \(y = mx + b\).
After calculation, the slope \(m\approx - 6.061\) and the \(y\)-intercept \(b\approx - 10.788\).

Answer:

\(y=-6.061x - 10.788\)