a calculator was used to perform a linear regression on the values in the table. the results are shown to…

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. \n|x|y|\n|1|9|\n|2|6|\n|3|2|\n|4|-2|\n|5|-5|\nlinreg\n$y = ax + b$\n$a=-3.6$\n$b = 12.8$\n$r^{2}=.9969230769$\n$r=-.9984603532$\nwhat is the line of best fit?\na. $y=-3.6x + 12.8$\nb. $-0.998=-3.6x + 12.8$\nc. $y=-0.998x + 12.8$\nd. $y = 12.8x-3.6$

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. \n|x|y|\n|1|9|\n|2|6|\n|3|2|\n|4|-2|\n|5|-5|\nlinreg\n$y = ax + b$\n$a=-3.6$\n$b = 12.8$\n$r^{2}=.9969230769$\n$r=-.9984603532$\nwhat is the line of best fit?\na. $y=-3.6x + 12.8$\nb. $-0.998=-3.6x + 12.8$\nc. $y=-0.998x + 12.8$\nd. $y = 12.8x-3.6$

Answer

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. $y=-3.6x + 12.8$