Question

a calculator was used to perform a linear regression on the values in the table. the results are shown to the right of the table. what is the equation of the regression line? x y 1 10 2 7 3 3 4 0 5 -2 linreg y = ax + b a=-3.1 b=12.9 r2=.9886831276 r=-.9943254636

Explanation:

Step1: Recall linear - regression equation form

The linear - regression equation is of the form $y = ax + b$, where $a$ is the slope and $b$ is the y - intercept.

Step2: Identify values of $a$ and $b$

We are given that $a=-3.1$ and $b = 12.9$.

Step3: Write the regression equation

Substitute the values of $a$ and $b$ into the equation $y=ax + b$.
$y=-3.1x + 12.9$

Answer:

$y=-3.1x + 12.9$