Based on the calculations, the equation for the curve of best fit is equal to y = -30.17x + 14.49.
How to calculate the curve of best fit?
From the table of data points, we have the following:
Mathematically, the standard equation of a straight line is given by:
y = ax + b ....equation 1.
Thus, the equations that can be used to model the given data points are:
∑y = na + b∑x ....equation 2.
∑xy = a∑x + b∑x² ....equation 3.
Substituting the parameters into the equations, we have;
50.9 = 6a + 16b ....equation 4.
24.6 = 16a + 35b ....equation 5.
Solving eqn. 5 and 6 simultaneously, we have:
Substituting the value of a and b into eqn. 1, we have;
y = ax + b
y = -30.17x + 14.49.
Therefore, the equation for the curve of best fit is equal to y = -30.17x + 14.49.
Read more on curve of best fit here: brainly.com/question/9366563
#SPJ1
