Strength of Correlation — Unit test Answers

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1
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Alejandro wants to determine the average shoe size of all of the male students in his school. Which sample is likely to yield the most biased results?

A
every tenth boy on the school’s phone list
B
every member of the boys’ basketball team
C
every boy in a randomly selected ninth-, tenth-, eleventh-, and twelfth-grade gym class
D
every fifth boy who walks through the front doors of the school in the morning
2
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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
4

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
5

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
10

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

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.
13

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.Ms. Dobson’s class has a smaller range of scores.The district has a greater interquartile range.Fifteen is an outlier for the district’s scores.One hundred is an outlier for the district’s scores.In general, the district’s scores were better than those of Ms. Dobson’s class.

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.
14

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
16

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.
17

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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