Curve of Best Fit

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

The height a toy rocket is above the ground is recorded for several times after it was launched. What is the coefficient of x² in the curve of best fit equation?

• -5.43

• 5.43

• 54.81

• -2.43

The height a toy rocket is above the ground is recorded for several times after it was launched. Approximately how long after it is launched does the rocket reach its maximum height? Use the curve of best fit.

• 4 seconds

• 5 seconds

• 6 seconds

• 10 seconds

Find the quadratic equation for the relationship of the horizontal distance and the height of the ball.

• -18x² + 2.11x + 4.21
• -.06x² +1.06x + 7.9
• -6x² +1.06x + 79
• -.12x² + 2.11x + 4.22

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

Shown is a residual plot. Would a quadratic regression model of the data be most appropriate?

• YES

• NO

Which function is quadratic?

• f(x)

• h(x)

• g(x)

Which would best fit the following data:

{(-15, 53.5), (-14, 28), (-3, 18), (0, 4), (6, 27), (14, 50)}

HINT: More than one right answer so choose both right answers.

• Linear Regression

• Quadratic Regression

• Line of Best Fit

• Curve of Best Fit

What would the equation be that best fits this data?:

{(-15, 53.5), (-14, 28), (-3, 18), (0, 4), (6, 27), (14, 50)}

• y = .17x²+.45x+12.43

• y = .16x²+.45x+12.42

• y = -.04x + 30

• y = -.03x + 30

Match the table with the correct equation:

x | y

-5 | 12

-4 | 11

0 | 9

2 | 15

3 | 25

• y = -.08x² + 5.94x +28.80

• y = -1.2x² + 3.2x +3.2

• y = 0.5x +9

• y = 0.7 x² + 2.7x +8.7