AnswersAcademy - Algebra Functions and Data AnalysisUnit Test

Unit Test Answers

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The chart represents a data set’s given values, predicted values (using a line of best fit for the data), and residual values.

Question illustration
A
g = 2 and h = –1
B
g = 28 and h = 39
C
g = –2 and h = 1
D
g = –28 and h = –39
2
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The histogram below represents the number of points Mandy scored per game. The graph makes the data appear symmetric when it is actually skewed. How can the graph be adjusted to show the skew?

Question illustration
A
The intervals on the x-axis can be changed to be continuous and consistent.
B
The interval on the y-axis can be changed to show only the relevant numbers, 3 and 5.
C
The scale on the x-axis can be increased to show the interval 25–29.
D
The scale on the y-axis can be decreased to show only the numbers 0–5.
3

The stem-and-leaf plot below shows the number of pages each student in a class read the previous evening.Which statement is true about the data set?

Question illustration
A
Its median is greater than its mode.
B
It has a range of 52 pages.
C
The value of the first quartile is 13.
D
The data is symmetric.
4

The dot plot shows the number of words students spelled correctly on a pre-test.

Question illustration
A
The graph is skewed right.
B
The graph is nearly symmetrical.
C
The graph is skewed left.
D
The graph is perfectly symmetrical.
5

Which statements are true about the data used to create the histogram? Select three options.

A
The mean is the best comparison of the measures of center.
B
The juniors tended to have higher essay scores than the sophomores.
C
The medians of both data sets are equal.
D
The interquartile range is the best comparison of the measure of variability.
E
A histogram is the best way to show that both distributions are nearly symmetric.
6

Which graph shows a negative correlation?

A
A graph with both axes unnumbered. Points show a steady trend.
Option A
B
A graph with both axes unnumbered. Points are scattered loosely in the top half of the graph.
Option B
C
A graph with both axes unnumbered. Points show a downward trend.
Option C
D
A graph with both axes unnumbered. Points are scattered loosely all Over graph.
Option D
7

Georgianna wants to use the linear model associated with the data in the table to make a prediction.

Question illustration
A
0 to 5 minutes
B
0 to 18 minutes
C
0 to 30 minutes
D
18 to 30 minutes
8

Scientists studied a deer population for 10 years. They generated the function f(x) = 248(1.15)x to approximate the number of deer in the population x years after beginning the study. About how many deer are in the population 3 years after beginning the study?

A
251
B
377
C
856
D
1,003
9

The dot plot represents the amount of rain recorded by rain gauges in different locations around a city.

Question illustration
A
2
B
8
C
11
D
16
10

Which graph shows data whose r-value is most likely closest to 1?

A
A graph shows both axes unnumbered. Points show a downward trend.
Option A
B
A graph shows both axes unnumbered. Points show an upward trend.
Option B
C
A graph shows both axes unnumbered. Points show a downward trend.
Option C
D
A graph shows both axes unnumbered. Points are scattered all over the graph.
Option D
11

A 2-column table with 4 rows. The first column is labeled x with entries 0, 1, 4, 5. The second column is labeled y with entries 0, 1, 4, 5.

Question illustration
A
0
B
1
C
4
D
5
12

A research study was conducted to measure the time students focused on a task before being distracted. The box plots show the distributions of attention spans of high school and college students.

Question illustration
A
mean
B
median
C
range
D
IQR
13

Which phrases describe the relationship between heart rate and daily intake of caffeine? Select two options.

A
negative correlation
B
increasing heart rate
C
constant correlation
D
positive correlation
E
decreasing heart rate
14

Melissa collected the data in the table.

Question illustration
A
–3
B
–1
C
1
D
3
15

Violet creates two spinners for a game. Each spinner is spun once, and the sum is recorded. The table represents the sums of the spinners and the frequency of each sum.

Question illustration
A
The mean is 12.
B
The mean is 16.
C
The mean is the same as the median.
D
The mean is the same as the range.
16

Blanca runs 8 laps around the track each day to train for an endurance race. She times each lap to practice her pacing for the race. The table shows the lap times, in seconds, for three days of practice.Which histogram represents Blanca’s lap times for the three days of practice?

Question illustration
A
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 laps.
Option A
B
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 3 laps were 84 to 86 seconds. 3 laps were 86 to 88 seconds. 5 laps were 88 to 90 seconds. 5 laps were 90 to 92 seconds. 3 laps were 92 to 94 seconds. 3 laps were 94 to 96 seconds. 1 lap was 96 to 98 seconds.
Option B
C
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 3 laps were 84 to 86 seconds. 3 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 4 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 1 lap was 96 to 98 laps.
Option C
D
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 3 laps were 92 to 94 seconds. 4 laps were 94 to 96 seconds. 0 laps were 96 to 98 laps.
Option D
17

Ms. Sutton recorded the word counts and scores of the top ten essays in a timed writing contest. The table shows her data.How does the word count of an essay relate to its score in the contest?

Question illustration
A
Word count tends to decrease as the score decreases.
B
Word count tends to increase as the score decreases.
C
Word count tends to remain constant as the score decreases.
D
Word count has no apparent relationship to the score of the essay.
18

The table shows the number of calories in four meals and the cost of each meal.

Question illustration
A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
19

The table shows the number of flowers in four bouquets and the total cost of each bouquet.

Question illustration
A
–0.57
B
–0.28
C
0.28
D
0.57
20

The graph shows the best-fit regression model for a set of data comparing the number of hours spent hiking and the number of miles traveled in one day.

Question illustration
A
Each point in the data set falls on the regression line.
B
The regression model is an accurate representation of the distance for any number of hours hiked.
C
Each point in the data set is near the regression line.
D
The regression model is inaccurate, as it does not begin at (0, 0).

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