AnswersTX-Advanced Quantitative ReasoningPresidential Election of 1860

Presidential Election of 1860 — Unit test Answers

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A teacher gathered data about the number of hours her students spent studying for a test and their resulting test grades. She found that on average, for every 30 minutes studied, the grade increased by 8 points. Which statements about this relationship are true? Check all that apply.

A
The data set would have a linear association.
B
The data set would have a nonlinear association.
C
The data set would have a positive correlation.
D
The data set would have a negative correlation.
E
Every student earns 16 more points for each additional hour they study.
F
Students that study more tend to earn better grades on the test.
2
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Which statement is true about the purpose of trend lines in scatterplots?

A
A trend line must pass through the largest data point.
B
A trend line must pass through the smallest data point.
C
A trend line can be used to make predictions in real-world situations.
D
A trend line shows the exact data points collected.
3

Suppose there is a relationship between independent and dependent variables represented by a scatterplot. Which statement is correct?

A
The independent variable influences change in the dependent variable only if the points on the scatterplot go up from left to right.
B
The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right.
C
The dependent variable influences change in the independent variable only if the points on the scatterplot go up from left to right.
D
The dependent variable influences change in the independent variable whether the points on the scatterplot go up or down from left to right.
4

What is the name of the method for drawing a trend line for the data in a scatterplot in which an oval is drawn around all the points in the scatterplot except the outliers?

A
the oval method
B
the divide-center method
C
the area method
D
the regression calculator method
5

Which trend line properly describes the data relationship in the scatterplot?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Which expression can be simplified to find the slope of the trend line in the scatterplot?

Question illustration
A
StartFraction 2 minus 8 Over 78 minus 87 EndFraction
Option A
B
StartFraction 78 minus 87 Over 8 minus 2 EndFraction
Option B
C
StartFraction 78 minus 8 Over 87 minus 2 EndFraction
Option C
D
StartFraction 8 minus 2 Over 78 minus 87 EndFraction
Option D
7

Which scatterplots have a nonlinear association? Select three options.

A
On a graph, points form a curved line.
Option A
B
On a graph, points form a curved line.
Option B
C
On a graph, points are grouped together to form a vertical cluster.
Option C
D
On a graph, points form a curved line.
Option D
E
On a graph, points are scattered all over the graph.
Option E
8

What is the purpose of a regression line?

A
to connect all the points in a scatterplot
B
to show the general tendency of the points in a scatterplot
C
to provide a scale for the x-coordinates of the points in a scatterplot
D
to provide a scale for the y-coordinates of the points in a scatterplot
9

The scatterplot below shows the number of bags of popcorn sold when x movie tickets are sold. About how many movie tickets will be sold if 100 bags of popcorn are sold?

Question illustration
A
70
B
73
C
150
D
183
10

Which expression can be simplified to find the slope of the line of best-fit in the scatterplot below?

Question illustration
A
StartFraction 134 minus 35 Over 16 minus 4 EndFraction
Option A
B
StartFraction 134 minus 16 Over 35 minus 4 EndFraction
Option B
C
StartFraction 4 minus 16 Over 35 minus 134 EndFraction
Option C
D
StartFraction 4 minus 16 Over 134 minus 35 EndFraction
Option D
11

The points (15, 10), (25, 20), (30, 22), (40, 32), (55, 53), (60, 55) represent the time, x, it takes 6 people to travel y miles. The scatterplot below represents the situation.TravelBased on the information above, how many miles should a person who drives for 48 minutes expect to travel?

Question illustration
A
32 miles
B
42 miles
C
48 miles
D
54 miles
12

What type of association is shown by the scatterplot?

Question illustration
A
linear, strong
B
linear, weak
C
nonlinear, strong
D
nonlinear, weak
13

Angelique makes beaded jewelry. The graph below shows the number of beads used for varying cord lengths.JewelryAngelique has a cord that is 32 inches long. Based on the information above, which is the best estimate for the number of beads she can use?

Question illustration
A
12
B
68
C
82
D
132
14

Naomi recorded the total weight of different numbers of apples. Her results are shown by using the scatterplot and the trend line shown below.ApplesFor which number of apples is the prediction of the total weight an extrapolation?

Question illustration
A
6
B
12
C
15
D
18
15

Which characteristics describe the scatterplot? Check all that apply.

Question illustration
A
negative correlation
B
positive correlation
C
strong association
D
weak association
E
linear
F
nonlinear

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