Strength of Correlation — Unit test Answers

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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
23

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).
25

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
26

Kira looked through online census information to determine the average number of people living in the homes in her city. What is true about Kira’s data collection?

A
Kira used an observational study where the data is qualitative.
B
Kira used an observational study where the data is quantitative.
C
Kira used published data that is qualitative.
D
Kira used published data that is quantitative.
27

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
28

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
29

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
30

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
31

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
32

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
33

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.
34

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%

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