Question

Not sure how to go about figuring this out.

Answer 1

Answer:

The correct option is D.

Step-by-step explanation:

The linear regression equation is in the form of

$y=mx+c$

It is also defined as

$y=bx+a$

Where,

$b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^2)-(\sum x)^2}$

$a=\frac{(\sum y)(\sum x^2)-(\sum x)(\sum xy)}{n(\sum x^2)-(\sum x)^2}$

The values are

$\sum x=15,\sum y=117.06,\sum x^2=55,\sum xy=348.95$

Using above formulas, we get

$b=-0.223$

$a=24.081$

Therefore the linear regression equation is

$y=-0.223x+24.081$

Therefore the option D is correct.