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A frog is jumping onto a lily pad. Its height, h (in feet), is recorded at various seconds, t, in the
table below. Write an equation for the curve of best fit, then estimate the height of the frog after 6
seconds.
1
0
2
1
4.5
6
2
3
6.5
4
6

Respuesta :

MrRoyal

The curve of best fit is an illustration of a quadratic regression

The equation of the curve of best fit is [tex]y = -\frac{17}{18}x^2 + \frac{17}3x + 2[/tex], and the height of the frog after 6 seconds is 2 feet

How to determine the equation of the curve of best fit?

To determine the equation of the curve of best fit, we make use of a graphing calculator

Using the graphing calculator, we have the following calculation summary

  • a = -17/18
  • b = 17/3
  • c = 2

The equation of the curve of best fit is represented as:

[tex]y = ax^2 + bx + c[/tex]

Substitute the values for a, b and c.

So, we have:

[tex]y = -\frac{17}{18}x^2 + \frac{17}3x + 2[/tex]

After 6 seconds, the value of x is 6.

So, we have:

[tex]y = -\frac{17}{18} * 6^2 + \frac{17}3 * 6 + 2[/tex]

Evaluate

[tex]y = 2[/tex]

Hence, the height of the frog after 6 seconds is 2 feet

Read more about curve of best fit at:

https://brainly.com/question/25226042

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