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Sagot :
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:
- ∑x = 16
- ∑y = 50.9
- ∑xy = 24.6
- ∑x² = 35
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:
- a = -30.17.
- b = 14.49.
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
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