To find the equation of the line of best fit for the given data, we start with the pairs of points: [tex]\((1, 14)\)[/tex], [tex]\((5, 11)\)[/tex], [tex]\((6, 4)\)[/tex], [tex]\((12, 2)\)[/tex], and [tex]\((15, 1)\)[/tex].
The equation of a line in slope-intercept form is:
[tex]\[ y = mx + b \][/tex]
where [tex]\( m \)[/tex] is the slope and [tex]\( b \)[/tex] is the y-intercept.
The given result presents the slope [tex]\( m \)[/tex] and the y-intercept [tex]\( b \)[/tex] for the line of best fit, rounded to three decimal places:
Slope: [tex]\( m = -0.927 \)[/tex]
Y-intercept: [tex]\( b = 13.634 \)[/tex]
Therefore, the equation of the line of best fit is:
[tex]\[ y = -0.927x + 13.634 \][/tex]
So the correct answer is:
C. [tex]\( y = -0.927x + 13.634 \)[/tex]
