Curve of Best Fit - Assessment

1.

Multiple Choice

15 mins

1 pt

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

2.

Multiple Choice

15 mins

1 pt

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

3.

Multiple Choice

5 mins

1 pt

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

4.

Multiple Choice

5 mins

1 pt

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

5.

Multiple Choice

5 mins

1 pt

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

6.

Multiple Choice

30 sec

1 pt

Using the curve of best fit, what would be the output (y) when the input (x) is 7?

260

240

140

320

7.

Multiple Choice

30 sec

1 pt

When using Desmos to find the curve of best fit, what do I need to enter first?

y₁ ~ ax₁²+bx₁ + c

the equation

the table/chart of values

the vertex

8.

Multiple Choice

30 sec

1 pt

When finding the curve of best fit in Desmos, what do I do after I entered my table of coordinates?

plot the points

y₁ ~ ax₁ +b

y₁ ~ ax₁²+bx₁ + c

do a little dance

9.

Multiple Choice

30 sec

1 pt

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

10.

Multiple Choice

5 mins

1 pt

In the equation

y = x² +5x +7, match each coefficient with its correct letter

a=0, b=5, c=7

a=1, b=5, c=7

a=7, b=5, c=1

11.

Multiple Choice

30 sec

1 pt

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

12.

Multiple Choice

5 mins

1 pt

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

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