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QUADRATIC REGRESSION

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Based on the table, which function can best be used to model this situation?

a)

h(t) = 99t2 + 858

b)

h(t) = -4.9t2 + 295t + 0.6

c)

h(t) = -4.9t2 + 295t + 2

d)

h(t) = 99t2 + 1,470.3

2.

What is the vertex of the following quadratic function from the following data?

a)

(3, -4)

b)

(2, 1)

c)

(0, 5)

d)

(5, 1)

3.

What is the y-intercept of the following quadratic function based on the following data?

a)

(-7, 0)

b)

(-3, 0)

c)

(0, -7)

d)

(0, -3)

4.

At a high school track and field meet an athlete was given 3 throws at shot put. At which throw did the shot put travel the furthest distance?

a)

Throw #1

b)

Throw #2

c)

Throw #3

d)

There is not enough information

5.

The graph shows the projectile of a rocket. What does the zero of the graph represent?

a)

The amount of time it took the rocket to land on the ground.

b)

The maximum height of the rocket.

c)

The amount of time it took the rocket to reach its maximum height.

d)

The height of the rocket before it was launched.

6.
Find the best fitting quadratic model for the data given.
a)
1.2x2 + 13x + 504.3
b)
12x2 + 13x + 504.3
c)
.12x2 + 1.3x + 504.3
7.

At a high school track and field meet an athlete was given 3 throws at shot put. At which throw did the shot put travel the furthest upward from the ground?

a)

Throw #1

b)

Throw #2

c)

Throw #3

d)

Throw 1 and throw 3

8.

What is the maximum value of the function?

a)

9

b)

2

c)

8

d)

-4

9.
What is the distance if the angle is 45 degrees?
a)
513 ft
b)
507 ft
c)
520 ft
d)
505 ft
10.
Calculate the quadratic regression function for this table of values to the nearest tenth.
a)
f(x) =
 2x2 - 9x + 10
b)
f(x)=
 3x2 + 9x - 10
c)
f(x) =
 3.1x2 - 9.2x - 10.3
d)
f(x) =
2.1x2 - 8.6x + 10.1
11.

Based on the table, what was the maximum height of the projectile?

a)

4, 440 feet

b)

30 feet

c)

3, 940 feet

d)

35 feet

12.
Find the population for 1975.
a)
623 thousand people
b)
650 thousand people
c)
599 thousand people
d)
513 thousand people
13.

The table below gives the number of hours spent studying for a math exam (x) and the exam grade (y). Using a line of best fit, predict the exam grade of a student who studied 5 hours.

a)

100

b)

93

c)

96

d)

87

14.

This set of ordered pairs shows a relationship between x and y. Using the line of best fit, which is closest to the output when the input is 3?

a)

10.72

b)

9.5

c)

2.5

d)

13

15.

How much time would it take you to reach the water if you jump of a cliff using the formula: h(t) = -16t2 + 8t + 24?

a)

8

b)

1

c)

1.5

d)

1/4