Quadratic Equation Line of Best Fit

Find the best fitting quadratic model for the data given.

• y = 1.2x² + 13x + 504.3

• y = 12x² + 13x + 504.3

• y = .12x² + 1.3x + 504.3

If this is an equation for a curve of best fit, find the output (y) when the input (x) is 13:

y = 1.2x² - 3.7x - 19

• -51.5

• 135.7

• 154.7

• 183,8

Using the quadratic curve of best fit, find the height of the ball when it traveled a distance of 10 feet.

• 12.8 ft

• 13.3 ft

• 11.1 ft

• 17 ft

Based on this pattern, would a Linear or Quadratic model be most appropriate?

• Quadratic

• Linear

A scientist dropped an object from a height of 200 feet. She recorded the height of the object in 0.5-second intervals. Her data is shown.

Based on a quadratic model, which best approximates the height at 3 seconds?

• 52 feet

• 55 feet

• 65 feet

• 80 feet

What type of association does this scatter plot represent?

• quadratic association

• exponential association

• no association

• linear association

Calculate the quadratic regression function for this table of values to the nearest tenth.

• f(x) =
   2x² - 9x + 10

• f(x)=
   3x² + 9x - 10

• f(x) =
   3.1x² - 9.2x - 10.3

• f(x) =
  2.1x² - 8.6x + 10.1

Calculate the Curve of Best Fit for this table of values:

• y = 2x² - 9x + 10

• y = 3x² + 9x - 10

• y = 3.1x² - 9.2x - 10.3

• y = 2.1x² - 8.6x + 10.1

Which equation corresponds to the values in this table?

• y = 4 - x

• y = 4 - x²

• y = x² - 4

• y = -2x - 1

The table shows the average braking distance of a car at various speeds.  Use a quadratic model to predict the breaking distance at 70mph.  

• 245 ft

• 225 ft

• 285 ft

• 265 ft