To determine the line of best fit from linear regression, we use the equation provided by the regression analysis:
[tex]\[ y = ax + b \][/tex]
From the results:
- [tex]\( a = -3.6 \)[/tex]
- [tex]\( b = 12.8 \)[/tex]
We substitute these values into the equation:
[tex]\[ y = -3.6x + 12.8 \][/tex]
Therefore, the line of best fit is:
[tex]\[ y = -3.6x + 12.8 \][/tex]
Among the given options:
A. [tex]\( y = -0.998x + 12.8 \)[/tex]
B. [tex]\( y = 12.8x - 3.6 \)[/tex]
C. [tex]\( y = -3.6x + 12.8 \)[/tex]
D. [tex]\( -0.998 = -3.6x + 12.8 \)[/tex]
The correct answer is C. [tex]\( y = -3.6x + 12.8 \)[/tex].