Strength of Correlation — Unit test Answers

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1
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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.

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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).
2
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The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.

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A
y = 47(1.191)x
B
y = 34(1.204)x
C
y = 26.9x – 1.3
D
y = 27x – 4
3

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.
4

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?

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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.
5

Melissa collected the data in the table.

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A
–3
B
–1
C
1
D
3
6

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
7

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.

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A
0.89
B
0.90
C
0.92
D
0.96
8

The residents of three towns were polled to find the percentage of residents who take a vacation in the summer or in the winter. Which is the joint relative frequency of those in Town 2 who take a summer vacation? Round the answer to the nearest percent.

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A
7%
B
10%
C
25%
D
75%
9

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
10

The scatterplot represents the total fee for hours renting a bike. The line of best fit for the data is y = 6.855x + 10.215.Which table shows the correct residual values for the data set?

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A
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, 1.22, 1.315, negative 1.99.
Option A
B
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, negative 1.22, negative 1.315, 1.99.
Option B
C
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, 1.22, negative 1.315, 1.99.
Option C
D
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, negative 1.22, 1.315, negative 1.99.
Option D
11

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?

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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.
12

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.

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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.
13

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.

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A
0
B
1
C
4
D
5
14

A relative frequency table is made from data in a frequency table.

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A
25%
B
33%
C
63%
D
68%
15

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

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A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
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?

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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

Which values are correct? Select three options.

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

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

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A
0 to 5 minutes
B
0 to 18 minutes
C
0 to 30 minutes
D
18 to 30 minutes
19

The data set represents the total number of tickets each person purchased for a play.0, 0, 1, 1, 1, 2, 2, 2, 4, 4What is the median of the data?

A
1
B
1.5
C
2
D
2.5
20

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

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A
g = 2 and h = –1
B
g = 28 and h = 39
C
g = –2 and h = 1
D
g = –28 and h = –39

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