Strength of Correlation — Unit test Answers

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1
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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
2
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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
3

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
4

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.

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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.
5

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.

Question illustration
A
y = 47(1.191)x
B
y = 34(1.204)x
C
y = 26.9x – 1.3
D
y = 27x – 4
6

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
7

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.
8

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
9

The box plots compare the exam scores of Ms. Dobson’s class to the rest of the students who took the test in the district.Which statement is true about the box plots? Select three options.

Question illustration
A
Ms. Dobson’s class has a smaller range of scores.
B
The district has a greater interquartile range.
C
Fifteen is an outlier for the district’s scores.
D
One hundred is an outlier for the district’s scores.
E
In general, the district’s scores were better than those of Ms. Dobson’s class.
10

A data set is shown in the table. The line of best fit modeling the data is y = 2.69x – 7.95.

Question illustration
A
–0.88
B
–0.12
C
0.12
D
0.88
11

Justin packed two suitcases for his trip and compared the weights of the items he packed in each of the suitcases.Which statement is true about the box plots?

Question illustration
A
The data for suitcase 1 have an outlier, but the data for suitcase 2 does not.
B
The data for suitcase 2 have a greater median than the data for suitcase 1.
C
The data for suitcase 1 has a greater interquartile range than the data for suitcase 2.
D
The data for suitcase 2 has a greater range than the data for suitcase 1.
12

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
13

The two-way frequency table represents data from a survey asking mall visitors whether they like seafood, meat, or both. Which is the joint relative frequency for mall visitors who like seafood and meat?

Question illustration
A
StartFraction 5 Over 72 EndFraction
Option A
B
StartFraction 16 Over 72 EndFraction
Option B
C
StartFraction 20 Over 72 EndFraction
Option C
D
StartFraction 31 Over 72 EndFraction
Option D
14

Which value for R in the table would most likely indicate an association between the conditional variables?

Question illustration
A
0.09
B
0.10
C
0.13
D
0.79
15

The frequency table shows the results of a survey comparing the number of beach towels sold for full price and at a discount during each of the three summer months.The store owner converts the frequency table to a conditional relative frequency table by row.Which value should he use for X? Round to the nearest hundredth.

Question illustration
A
0.89
B
0.90
C
0.92
D
0.96
16

A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8

A
0.40
B
0.72
C
1.15
D
2.14
17

The graph represents the distribution of the number of questions answered correctly on a 50-question math test.

Question illustration
A
4
B
8
C
12
D
24
18

Which values are correct? Select three options.

A
a = 15
B
b = 18
C
c = 23
D
d = 35
E
e = 31
19

Which could be a conditional relative frequency table?

A
A 4-column table with 3 rows. The first column has no label with entries C, D, total. The second column is labeled A with entries 0.25, 0.25, 0.50. The third column is labeled B with entries 0.25, 0.25, 0.50. The fourth column is labeled total with entries 0.50, 0.50, 1.0.
Option A
B
A 4-column table with 3 rows. The first column has no label with entries C, D, total. The second column is labeled A with entries 0.25, 0.35, 0.30. The third column is labeled B with entries 0.75, 0.65, 0.70. The fourth column is labeled total with entries 1.0, 1.0, 1.0.
Option B
C
A 4-column table with 3 rows. The first column has no label with entries C, D, total. The second column is labeled A with entries 0.75, 0.25, 0.50. The third column is labeled B with entries 0.25, 0.75, 0.50. The fourth column is labeled total with entries 0.50, 0.50, 1.0.
Option C
D
A 4-column table with 3 rows. The first column has no label with entries C, D, total. The second column is labeled A with entries 0.65, 0.35, 1.0. The third column is labeled B with entries 0.35, 0.65, 1.0. The fourth column is labeled total with entries 1.0, 1.0, 1.0.
Option D
20

A conditional relative frequency table is generated by row from a set of data. The conditional relative frequencies of the two categorical variables are then compared.

A
There is likely an association between the categorical variables because the relative frequencies are similar in value.
B
An association cannot be determined between the categorical variables because the relative frequencies are similar in value.
C
An association cannot be determined between the categorical variables because the relative frequencies are not similar in value.
D
There is likely an association between the categorical variables because the relative frequencies are both close to 0.50.

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