AnswersCollege Readiness MathematicsInterpreting Data

Practice Test Answers

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Which of the following best describes the relationship between the variables in the scatterplot?

A
Those with higher 200 -meter times tend to have longer javelin distances. The relationship is moderate.
B
Those with higher 200 -meter times tend to have longer javelin distances. The relationship is strong.
C
Those with lower 200 -meter times tend to have longer javelin distances. The relationship is strong.
D
Those with lower 200 -meter times tend to have longer javelin distances. The relationship is moderate.
2
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Market researchers were interested in the relationship between the price of bobbleheads and the demand of bobbleheads. Information was collected from a survey and was used to obtain the regression equation widehat y is equal to negative 0 point 2 2 7 x plus 50 point 4 5 5 , where x represents the price of a bobblehead (measured in dollars) and widehat y is the predicted demand of bobbleheads (in units). Which statement best describes the meaning of the y - intercept of the regression line?

A
When the demand for bobbleheads is 0 units, the predicted price is 0 dollars .
B
When the demand for bobbleheads is 0 units, the predicted price is 50 point 4 5 5 dollars .
C
When the price of a bobblehead is 0 dollars , the predicted demand is 0 point 2 2 7 units. This interpretation is not meaningful because a bobblehead cannot have a price of 0 dollars .
D
When the price of a bobblehead is 0 dollars , the predicted demand is 50 point 4 5 5 units. This interpretation is not meaningful because a bobblehead cannot have a price of 0 dollars .
3

A student collected data on the size of coffee chosen by customers at a convenience store, and whether the customers took their coffee with sugar, cream, or both. Size of Coffee Small Medium Large Total Coffee Additive Cream 8 15 21 44 Sugar 4 8 11 23 Both 15 23 42 80 Total 27 46 74 147 What percentage of customers chose a medium-sized coffee? Round the answer to four decimal places.

A
50 point 3 percent
B
62 point 1 percent
C
31 point 3 percent
D
32 point 6 percent
4

As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown. 1 , 4 , 4 , 4 , 4 , 6 , 5 What is the IQR of the data?

A
1
B
1 point 5 3
C
5
D
2
5

The length (in inches) and weight (in ounces) for a type of bass were measured for a random sample of 10 bass from a lake. These measurements were then analyzed and the results are given in the computer output. Open image in full-screen view Which of the following represents the average distance between the actual weight and the predicted weight of the bass?

A
1 point 8 0
B
13 point 6 1 0
C
3 point 7 7 1
D
24 point 8 7
6

A guidance counselor wants to determine if there is a relationship between a student’s number of absences, x , and their grade point average (GPA), y He collects data for 15 randomly selected students and determines the value for s was 0.67 Which of the following gives the best interpretation of this value?

A
The typical distance between the observed and predicted numbers of absences was about 0 point 6 7 days.
B
The typical GPA of a student was about 0 point 6 7 points.
C
The typical distance between the observed and predicted GPAs was about 0 point 6 7 points.
D
The typical number of absences for students was about 0 point 6 7 days.
7

A school administrator asks each student if they participate in a sport and if they participate in a club. The results are shown. Participates in a Sport Yes No Total Participates in a Club Yes 620 450 1070 No 325 535 860 Total 945 985 1930 What percentage of students do not participate in a sport? Round the answer to four decimal places.

A
62 point 2 percent
B
44 point 6 percent
C
27 point 7 percent
D
51 point 0 percent
8

Machine engineers are designing a new ice machine for use in restaurants. They notice that designs that use cubes containing higher volumes of water take longer to freeze. What are the explanatory variable and response variable for this relationship?

A
Explanatory variable: volume of water Response variable: time to freeze
B
Explanatory variable: type of restaurant Response variable: time to freeze
C
Explanatory variable: shape of ice Response variable: time to freeze
D
Explanatory variable: time to freeze Response variable: volume of water
9

A simple random sample of 10 people were asked how many first cousins they have. The results are listed. 10 , 19 , 20 , 13 , 13 , 2 , 10 , 8 , 25 , 10 What is the mean number of first cousins for this sample?

A
13 point 5
B
11 point 5
C
10
D
13
10

The five-number summary of a data set is given. Minimum: 3 cap q sub 1 : 12 Median: 15 cap q sub 3 : 16 Maximum: 20 Which of the following is a true statement about outliers for this distribution?

A
The distribution’s minimum is an outlier.
B
There are no outliers for this distribution.
C
The distribution’s maximum is an outlier.
D
Distribution outliers cannot be determined.
11

A statistics student gave a survey to students which asked how many first cousins they have. The data from the first nine responses are shown. 6 , 2 , 7 , 8 , 8 , 8 , 5 , 10 , 10 What is the standard deviation of the data?

A
6 point 3 6 first cousins
B
5 point 6 5 first cousins
C
2 point 5 2 first cousins
D
2 point 3 8 first cousins
12

Market researchers were interested in the relationship between the number of pieces in a brick-building set and the cost of a set. Information was collected from a survey and was used to obtain the regression equation widehat y is equal to 0 point 0 8 x plus 1 point 2 0 , where x represents the number of pieces in a set and widehat y is the predicted price (in dollars) of a set. Which statement best describes the meaning of the slope of the regression line?

A
For each increase in price by 1 dollars , the predicted number of pieces increases by 1 point 2 0 .
B
For each increase in the number of pieces by 1 , the predicted price increases by 0 point 0 8 dollars .
C
For each increase in the number of pieces by 1 , the predicted price increases by 1 point 2 0 dollars .
D
For each increase in price by 1 dollars , the predicted number of pieces increases by 0 point 0 8 .
13

The lowest possible passing grade on the test was a 54 out of 90 What percentage of students passed this test?

A
77 percent
B
23 percent
C
96 percent
D
54 percent
14

The equation of the line hat y is equal to negative 14 point 7 plus 1 point 5 9 x is called the least-squares regression line because it

A
minimizes the sum of the squared vertical distances from the points to the line.
B
is least able to make accurate predictions for the data.
C
passes through each data point.
D
maximizes the sum of the squared vertical distances from the points to the line.
15

Which of the following is the correct five-number summary?

A
22 , 24 , 27 , 28 , 30
B
23 , 24 point 5 , 26 , 28 , 29
C
22 , 24 , 26 , 28 , 29
D
22 , 24 point 5 , 26 , 28 , 30
16

Using technology, the slope of the least-squares regression line is

A
negative 0 point 1 0, which means for each additional absence, the GPA will decrease by 0 point 1 0 points.
B
0 point 1 0 , which means for each additional absence, the GPA will increase by 0 point 1 0 points.
C
0 point 1 0 , which means for each additional absence, the GPA is predicted to increase by 0 point 1 0 points.
D
negative 0 point 1 0, which means for each additional absence, the GPA is predicted to decrease by 0 point 1 0 points.
17

Which of the following is a true statement based on the histogram?

A
There were three laps with times greater than 38 seconds.
B
The interval from 37 to 38 seconds saw the most lap times.
C
There were no lap times between 35 and 36 seconds.
D
There were six laps with times less than 37 seconds.
18

Which of these statements best describes the relationship between the variables shown in the scatterplot?

A
There is a negative relationship between number of beds and lengths of stay.
B
There is little association between number of beds and lengths of stay.
C
There is a positive relationship between number of beds and lengths of stay.
D
A short stay (under two days) is equally likely for smaller and larger hospitals.
19

What is the shape of the distribution of bag weight?

A
roughly symmetric
B
skewed right
C
uniform
D
skewed left
20

Which scatterplot represents the data?

A
Image with description A scatter plot titled Volume and Freezing Time shows Volume (milliliters) 38 to 56 on the x-axis and Freezing time (hours) 0.6 to 2.2 on the y-axis. The points show an upward trend.
B
Image with description A scatter plot titled Volume and Freezing Time shows numbers 38 to 56 on the x-axis and numbers 0.6 to 2.2 on the y-axis. The points show an upward trend.
C
Image with description A scatter plot titled Volume and Freezing Time shows Volume (milliliters) on the x-axis and Freezing time (hours) on the y-axis. The points show an upward trend.
D
Image with description A scatter plot titled Freezing time (hours) 0.6 to 2.2 on the x-axis and Volume and Freezing Time shows Volume (milliliters) 38 to 56 on the y-axis. The points show an upward trend.

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