Question

An experiment involves dropping a ball and recording the distance it falls​ (y) for different times...

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 + __)

Homework Answers

Answer #1

Using Minitab,

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

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