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.

x	y
1	9
2	6
3	2
4	-2
5	-5

linreg
$y = ax + b$
$a=-3.6$
$b = 12.8$
$r^{2}=.9969230769$
$r=-.9984603532$
what is the line of best fit?
a. $y=-3.6x + 12.8$
b. $-0.998=-3.6x + 12.8$
c. $y=-0.998x + 12.8$
d. $y = 12.8x-3.6$

Explanation:

Step1: Recall linear regression equation form

The equation of a line in linear regression is $y = ax + b$.

Step2: Identify values of a and b

From the LinReg results, $a=-3.6$ and $b = 12.8$.

Step3: Write the line of best - fit equation

Substitute $a$ and $b$ into $y=ax + b$, we get $y=-3.6x + 12.8$.

Answer:

A. $y=-3.6x + 12.8$