Question

An experiment involves dropping a ball and recording the distance it falls​ (y) for different times ​ (x) after it was released. Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given​ data, and consider only​ linear, quadratic,​ logarithmic, exponential, and power models.

Time​ (seconds)	0.5	1	1.5	2	2.5	3
Distance​ (meters)	1.2	4.7	10.1	17	24.8	33.4

What is the equation of the quadratic?

y =___ x^2 + (__x + __)

Answer 1

Using Minitab,

y=2.507 x^2 +(4.265x-1.770)