AnswersTX-Advanced Quantitative ReasoningPresidential Election of 1860

Presidential Election of 1860 — Unit test Answers

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Which statement is true about a trend line?

A
A regression line and a trend line are opposite terms.
B
A regression line and trend line are equivalent terms.
C
A trend line represents only the smallest data points.
D
A trend line represents only the largest data points.
2
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Which scatterplot correctly represents the table of values below?Number of years collecting stampsNumber of stamps in collection210051754150312541753100

A
A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), (5, 200).
Option A
B
A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 150), (4, 150), (4, 175), and (5, 175).
Option B
C
A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), (5, 175).
Option C
D
A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 75), (3, 100), (3, 125), (4, 150), (4, 175), and (5, 175).
Option D
3

James needs to draw the trend line for both scatterplot A and scatterplot B. Scatterplot AScatterplot BWhich of these statements is correct?

Question illustration
A
The trend line for scatterplot A will have a positive slope, and the trend line for scatterplot B will have a positive slope.
B
The trend line for scatterplot A will have a positive slope, and the trend line for scatterplot B will have a negative slope.
C
The trend line for scatterplot A will have a negative slope, and the trend line for scatterplot B will have a positive slope.
D
The trend line for scatterplot A will have a negative slope, and the trend line for scatterplot B will have a negative slope.
4

Tanica drew a line of best fit on a scatterplot, as shown below. The equation of the line is . Using the line, she predicted that when the value of x is 0.5, the value of y will be approximately 7.6. What was her mistake?

Question illustration
A
She drew the line of best fit incorrectly.
B
She used the line of best fit to predict y for an incorrect value of x.
C
She forgot the minus sign before the first term on the right side of the equation when she predicted y.
D
She plugged 0.5 into the equation for y instead of x and actually predicted x instead of y.
5

Which two points should the line of best fit go through to best represent the data in the scatterplot?

Question illustration
A
(1, 3) and (2, 7)
B
(1, 3) and (6, 13)
C
(3, 8) and (5, 12)
D
(5, 12) and (6, 13)
6

Which is the last step when creating and analyzing a scatterplot from a table of values?

A
Plot the ordered pairs of the independent variable and the dependent variable on the coordinate plane.
B
Draw or obtain a blank coordinate plane.
C
Identify if there is a relationship between the independent and dependent variables.
D
Label the axes of the coordinate plane according to the input and output variables.
7

Which scatterplot shows the weakest negative linear correlation?

A
On a graph, points are grouped closely together and increase.
Option A
B
On a graph, points are grouped closely together in a line and increase.
Option B
C
On a graph, points are grouped closely together and decrease.
Option C
D
On a graph, points are grouped closely together in a line and decrease.
Option D
8

A scatterplot has a negative, linear correlation. Which statement is true about the relationship between the x- and y-values?

A
As the x-values increase, the y-values tend to increase.
B
As the x-values increase, the y-values tend to decrease.
C
As the x-values decrease, the y-values tend to decrease.
D
As the x-values decrease, the y-values tend to vary randomly.
9

Which statement is correct when a scatterplot is constructed?

A
The independent variable is the input variable and should be represented by the x-axis.
B
The independent variable is the input variable and should be represented by the y-axis.
C
The dependent variable is the input variable and should be represented by the x-axis.
D
The dependent variable is the input variable and should be represented by the y-axis.
10

Melanie and Tracy are each finding the equation of the trend line that fits the data in the table below. Participation in the School BandYearNumber of students201048201152201255201359Melanie uses the ordered pairs (2010, 48) and (2013, 59) to find her equation. Tracy defines x as the number of years since 2010 and uses the ordered pairs (0, 48) and (3, 59) to find her equation. How will the two girls’ equations compare?

A
They will have the same slopes and the same y-intercepts.
B
They will have the same slopes but different y-intercepts.
C
They will have different slopes but the same y-intercepts.
D
They will have different slopes and different y-intercepts.
11

Which scatterplot shows no correlation?

A
On a graph, points are grouped closely together and decrease.
Option A
B
On a graph, points are grouped closely together to form a curve.
Option B
C
On a graph, points are grouped closely together and decrease.
Option C
D
On a graph, points are scattered all over the graph.
Option D
12

Which statement is true regarding the traits of scatterplots?

A
The strength of a correlation is independent of whether the correlation of a scatterplot is positive or negative. A scatterplot with positive correlation can have either weak association or strong association.
B
The slope of a line is independent of whether the correlation of a scatterplot has positive or negative correlation. A scatterplot with a negative slope can have either positive correlation or negative correlation.
C
The nonlinear association of a scatterplot depends on whether it has a weak or strong correlation. A scatterplot with nonlinear association will have a strong correlation.
D
The nonlinear association of a scatterplot depends on whether it has a positive or negative correlation. A scatterplot with nonlinear correlation will have a negative correlation.
13

The table of values shows the number of touchdown passes that a quarterback threw in each of his first five football games of the season.Game vs. Touchdown PassesGameTouchdown passes1321334253Which would be a point on the scatterplot that represents touchdown passes based on these games played?

A
(1, 2)
B
(2, 4)
C
(3, 1)
D
(5, 3)
14

According to the scatterplot below, which statement is correct?

Question illustration
A
The input, or dependent variable, is enrollment.
B
The output, or dependent variable, is years in operation.
C
The input, or independent variable, is years in operation.
D
The output, or independent variable, is enrollment.
15

Which describes the correlation shown in the scatterplot?

Question illustration
A
There is a positive linear correlation.
B
There is a negative linear correlation.
C
There is no positive or negative correlation.
D
There is a nonlinear correlation.
16

An online store sold a gift basket at five different prices and recorded the number of gift baskets that were sold at each price. The results are shown in the scatterplot.Which statement is correct based on the scatterplot?

Question illustration
A
There is no relationship between price and gift baskets sold because the points do not form a straight line.
B
There is no relationship between price and gift baskets sold because there are multiple prices at which 80 gift baskets were sold.
C
There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold increases.
D
There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold decreases.
17

Willis has noticed that when time has been one of the variables analyzed by a scatterplot he has looked at, it has always been the independent variable. He has hypothesized that time can never be a dependent variable. Does the scatterplot below confirm or invalidate Willis’s hypothesis?

Question illustration
A
It confirms his hypothesis because the scatterplot must have been created incorrectly.
B
It confirms his hypothesis because time is the independent variable and distance traveled is the dependent variable.
C
It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.
D
It invalidates his hypothesis because it is possible for the distance that is traveled during a trip to depend on the time that is spent traveling.
18

Which describes the correlation shown in the scatterplot?

Question illustration
A
There is a positive correlation in the data set.
B
There is a negative correlation in the data set.
C
There is no correlation in the data set.
D
More points are needed to determine the correlation.
19

Which scatterplot shows the weakest positive linear association?

A
On a graph, points are grouped closely together and increase.
Option A
B
On a graph, points are grouped closely together to form a line and increase.
Option B
C
On a graph, points are grouped closely together and decrease.
Option C
D
On a graph, points are grouped closely together to form a line and decrease.
Option D
20

For the data that are shown on the graph below, which best describes within which range of x-values extrapolation occurs?

Question illustration
A
x greater-than 6
Option A
B
and
Option B
C
and
Option C
D
and
Option D

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