Regression Models — Cumulative exam Answers

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The graph of which function has a minimum located at (4, –3)?

A
f(x) = x2 + 4x – 11
Option A
B
f(x) = –2x2 + 16x – 35
C
f(x) = x2 – 4x + 5
Option C
D
f(x) = 2x2 – 16x + 35
22
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What is the difference of the polynomials?(5x3 + 4x2) – (6x2 – 2x – 9)

A
–x3 + 6x2 + 9
B
–x3 + 2x2 – 9
C
5x3 – 2x2 – 2x – 9
D
5x3 – 2x2 + 2x + 9
23

Which is the solution of the quadratic equation (4y – 3)2 = 72?

A
y = and y =
Option A
B
y = and y =
Option B
C
y = and y =
Option C
D
y = and y =
Option D
24

Which represents the polynomial written in standard form?4m – 2m4 – 6m2 + 9

A
9 + 4m + 2m4 – 6m2
B
2m4 – 6m2 – 4m + 9
C
9 – 6m2 + 4m – 2m4
D
–2m4 – 6m2 + 4m + 9
25

Solve x2 + 12x = –11 by completing the square. Which is the solution set of the equation?

A
{–11, –1}
B
{–11, 1}
C
{11, –1}
D
{11, 1}
26

What is the vertex of the function f(x) = x2 + 12x?

A
(–6, –36)
B
(–6, 0)
C
(6, 0)
D
(6, –36)
27

Which polynomial is prime?

A
x3 + 3x2 + 2x + 6
B
x3 + 3x2 – 2x – 6
C
10x2 – 4x + 3x + 6
D
10x2 – 10x + 6x – 6
28

Which relationships could have a negative correlation? Select three options.

A
number of hours worked and free time
B
speed of a car and minimum stopping distance
C
the speed of a train and the length of time to reach the destination
D
adult’s head circumference and age
E
a tadpole’s age and the length of it’s tail
29

The base of the parallelogram, b, can be found by dividing the area by the height.

Question illustration
A
2x + 3 +
Option A
B
2x + + x
Option B
C
2x + +
Option C
D
2x + +
Option D
30

The graph of which function has an axis of symmetry at x = ?

Question illustration
A
f(x) = 2x2 + x – 1
B
f(x) = 2x2 – x + 1
C
f(x) = x2 + 2x – 1
D
f(x) = x2 – 2x + 1
31

The table shows the side length and approximate area of an octagonal stop sign.Area of a Stop Sign

Question illustration
A
f(x) = 4.8x2
B
f(x) = 4x2
C
f(x) = (4.8)x
D
f(x) = (4)x
32

The height of the parallelogram, h, can be found by dividing the area by the length of the base.

Question illustration
A
2x + 5 +
Option A
B
2x – 7 –
Option B
C
2x – 7 +
Option C
D
2x + 5 –
Option D
33

Dwight creates a table of values for a function and plots the points. He finds that one y value divided by the next y value produces the same answer each time. What kind of function did he graph?

A
linear
B
quadratic
C
square root
D
exponential
34

Which equation has an a-value of 1, a b-value of –3, and a c-value of –5?

A
0 = –3x – 5 + x2
B
0 = x – 3 – 5x2
C
0 = 3x – 5 – x2
D
0 = –3x + 5 – x2
35

The histogram shows the duration, in minutes, of movies in theaters.

Question illustration
A
The mean is less than the median.
B
The median is less than the mean.
C
The mean is equal to the median.
D
The median and mean cannot be compared from a histogram.
36

Which is true about the polynomial ?

Question illustration
A
It is a binomial with a degree of 2.
B
It is a binomial with a degree of 3.
C
It is a trinomial with a degree of 2.
D
It is a trinomial with a degree of 3.
37

The frequency table represents the results of a survey comparing the average age of household members to the way that they watch non-network television.Madigan converts the frequency table to a conditional relative frequency table by row.Television Viewing MethodWhich value should she use for X? Round to the nearest hundredth.

Question illustration
A
0.09
B
0.20
C
0.25
D
0.30
38

The relative frequency table shows the results of a survey in which parents were asked how much time their children spend playing outside and how much time they spend using electronics.Given that a child spends at least 1 hour per day outside, what is the probability, rounded to the nearest hundredth if necessary, that the child spends less than 1 hour per day on electronics?

Question illustration
A
0.22
B
0.25
C
0.70
D
0.88
39

Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers?

A
n2 + n – 210 = 0
B
n2 + n – 105 = 0
C
2n2 + 2n + 210 = 0
D
2n2 + 2n + 105 = 0
40

Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged photo is 256 square inches. In the equation (x + 10)2 = 256, x represents the side measure of the original square photo.

A
4 inches by 4 inches
B
6 inches by 6 inches
C
10 inches by 10 inches
D
12 inches by 12 inches

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