Question

Not sure how to go about figuring this out.

Answer 1

The correct option is D.

Explanation:

The linear regression equation is in the form of

`y=mx+c`

It is also defined as

`y=bx+a`

Where,

`b=(n(\sum xy)-(\sum x)(\sum y))/(n(\sum x^2)-(\sum x)^2)`

`a=((\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.