The equation that models the curve of best fit for this data will be y = 1.4646·(1.818)ˣ. 
What is an exponent?
Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as 
y = a(b)ˣ 
Consider the scatter plot.
Then the equation that models the curve of best fit for this data will be 
At (1.2, 3), then we have
[tex]\rm 3 =ab^{1.2}[/tex] ..........1
At (4, 16), then we have
16 = ab⁴  ..........2
By solving the equations 1 and 2, we have
a = 1.4646 and b = 1.818
Then the equation will be 
y = 1.4646·(1.818)ˣ 
Then the graph is drawn.
More about the exponent link is given below.
https://brainly.com/question/5497425
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