Answer:
The correct option is D.
Step-by-step explanation:
The linear regression equation is in the form of
[tex]y=mx+c[/tex]
It is also defined as
[tex]y=bx+a[/tex]
Where,
[tex]b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^2)-(\sum x)^2}[/tex]
[tex]a=\frac{(\sum y)(\sum x^2)-(\sum x)(\sum xy)}{n(\sum x^2)-(\sum x)^2}[/tex]
The values are
[tex]\sum x=15,\sum y=117.06,\sum x^2=55,\sum xy=348.95[/tex]
Using above formulas, we get
[tex]b=-0.223[/tex]
[tex]a=24.081[/tex]
Therefore the linear regression equation is
[tex]y=-0.223x+24.081[/tex]
Therefore the option D is correct.
