First show that this is a quadratic relationship by taking differences and second differences:
y dy d2y
3 10 8
13 18 8
31 26 8
57 34 8
91 42 8
If the second difference is constant, it is a quadratic relationship.
Assume the quadratic model as:
f(x)=ax2 + bx + c
Thus, the second difference = 2a
By substituting values of x and a into one of the formulas, b can be found
Substitute a and b in f(1), we get
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