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Benchmark 2 Review Stats

Total questions: 43

Worksheet time: 4hrs 35mins

Name
Class
Date
1.
a)
.2855
b)
.6246
c)
.0922
d)
.3230
2.

What is the probability that a student does not play on a sports team?

a)

.5

b)

.45

c)

.55

d)

.40

3.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
4.
What is the probability that a student plays on a sports team given they don't play an instrument? 
a)
.7273
b)
.8
c)
.55
d)
.2222
5.
What is the probability that they speak French given they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
6.
How do you calculate a residual?
a)
Observed - Predicted
b)
Predicted - Observed
7.

What should an Appropriate residual plot look like?

a)

Distinct Pattern

b)

Curve

c)

No Pattern

d)

Linear

8.
Residuals are . . . 
a)
possible models not explored by the researcher
b)
variation in the response variable that is explained by the model
c)
the difference between the observed response and the values predicted by the model
d)
data collected from individuals that is not consistent with the rest of the group
9.

Shown is a residual plot. Is the LSRL appropriate?

a)

No pattern, appropriate

b)

Pattern, Not appropriate

10.

Shown is a residual plot. Is the LSRL appropriate?

a)

No pattern, appropriate

b)

Pattern, Not appropriate

11.
a)

A

b)

B

c)

C

d)

D

12.
a)
A
b)
B
c)
C
d)
D
13.
a)

A

b)

B

c)

C

d)

D

14.
a)
A
b)
B
c)
C
d)
D
15.

How would the outlier affect r?

a)

Increase

b)

Decrease

c)

Minimal Change

d)

Double it

16.

How would the outlier affect the slope?

a)

Increase

b)

Decrease

c)

Minimal Change

d)

Double it

17.

How would the outlier affect r?

a)

Increase

b)

Decrease

c)

Minimal Change

d)

Double it

18.

How would the outlier affect the slope?

a)

Increase

b)

Decrease

c)

Minimal Change

d)

Double it

19.

How would the outlier affect r?

a)

Increase

b)

Decrease

c)

Minimal Change

d)

Double it

20.

How would the outlier affect the slope?

a)

Increase

b)

Decrease

c)

Minimal Change

d)

Double it

21.

Which outlier has the most impact on the slope and r?

a)

A

b)

B

c)

C

d)

All have minimal impact or

22.

The equation y = 8 + 3x models the amount of snow in inches(y) after x hours.


Interpret the y-intercept

a)

8 inches of snow falls in 3 hours.

b)

3 inches of snow falls in 8 hours.

c)

When we started measuring, there were already 8 inches of snow on the ground.

d)

Every hour, 3 new inches of snow accumulates.

23.

The equation y = 8 + 3x models the amount of snow in inches(y) after x hours.


Interpret the slope,

a)

8 inches of snow falls in 3 hours.

b)

3 inches of snow falls in 8 hours.

c)

When we started measuring, there were already 8 inches of snow on the ground.

d)

Every hour, 3 new inches of snow accumulates.

24.

PlumbRight Plumbing uses the equation y = 75 + 50x to model the charge in dollars for a service call (y) for x hours of service.


Interpret the y-intercept.

a)

PlumbRight charges $50 per service call just to come to your house.

b)

For 0 hours of service, PlumbRight charges $75 just to come to your house.

c)

PlumbRight charges $50 for 70 minutes of work.

d)

PlumbRight charges $75 for 50 minutes of work.

25.

PlumbRight Plumbing uses the equation y = 75 + 50x to model the charge in dollars for a service call (y) for x hours of service.


Interpret the slope.

a)

For every additional hour of service, PlumbRight charges $50.

b)

PlumbRight charges $75 per hour on top of the service fee.

c)

PlumbRight charges $50 for 70 minutes of work.

d)

PlumbRight charges $75 for 50 minutes of work.

26.

Which is NOT a correct description of a residual?

a)

The vertical distance from a data point to the LSRL.

b)

The error of a prediction.

c)

The difference between a response value and the predicted response value.

d)

A predicted value.

27.

Use the graph below to approximate the residual

for the data point that has an EXPLANATORY value of 75.

a)

174.0

b)

150.0

c)

-24.0

d)

24.0

28.

A data set has a regression equation of y = -0.72x + 25.5. One of the actual data points is (20, 11).

What is the residual for this point?

a)

10.6

b)

10

c)

-7.2

d)

-0.1

29.

How are traffic delays related to the number of cars on the road? The data shows the total number of hours of delay per year at 10 major highway intersections in the western United States versus traffic volume (measured by average number of vehicles per day that pass through the intersection). Describe the relationship between the variables.

a)

Strong, Positive, Linear, No Apparent Outliers

b)

Very Strong, Positive, Linear, No Apparent Outliers

c)

Weak, Positive, Linear, One Apparent Outlier

d)

Strong, Positive, Linear, One Apparent Outlier

30.

Describe the relationship between the variables.

a)

As the average number of vehicles per day increases, the hours of delay per year decreases.

b)

As the average number of vehicles per day increases, the hours of delay per year increases.

c)

As the average number of vehicles per day decreases, the Hours of delay per year increases.

d)

As the average number of vehicles per day decreases, the hours of delay per year decreases.

31.

A survey posted on a website had 5000 people respond. Over 75% of the people thought America was heading in the wrong direction and change was drastically needed.

Which is the best statement regarding the interpretation of these results?

a)

The results are reliable since a large number of people responded.

b)

The results are reliable since it is random who will see the survey.

c)

The results are not reliable since there is most likely non-response bias.

d)

The results are not reliable since there most likely is response bias.

e)

The results are not reliable since there most likely is voluntary response bias.

32.

A sample is taken so that 10% of all students are randomly chosen from a school and separately 20% of all teachers are randomly chosen. This sample is a

a)

Convenience sample

b)

Voluntary response sample

c)

Cluster sample

d)

Stratified sample

e)

Simple Random sample

33.

Which is an example of an Experimental study?

a)

Randomly assigning one group of volunteers to two groups where the members of one group will find an empty wallet and the other members will find a wallet with with $20.

b)

Recording the number of people who take the money from a wallet placed on a sidewalk

c)

Randomly choosing 100 people and asking each if they believe in the saying “Finders keepers”

d)

Researching police archives to see the percent of reported lost wallets that were returned.

34.

Mrs. Ellisarell teaches 125 students and she would like to randomly choose 20 for a survey.

Which below would be acceptable ways to conduct a random sample. Choose all that are acceptable.

a)

Label the students 1 to 125 and use a random digit table, reading across the lines from a random location, to select the first 20 values she finds in her range. She will skip repeats and unassigned values.

b)

Label the students 1 to 125 and use a random number generator to select 20 values. She will skip repeats

c)

She will write each name on separate papers, place them in a hat, and mix them up. The 20 papers she pulls from the hat will make her sample.

d)

Using her 5 class lists, she will choose 4 names from each class by choosing the first 4 students who enter the class the next day.

35.

In an experiment, which thing below does randomization NOT do?

a)

Distribute lurking variables

b)

Make treatment groups similar

c)

Prevent confounding

d)

Prevent bias in the assigning of treatments

e)

Reduce variability

36.

Blocking is used when

a)

we have too many people for one group.

b)

we want to add comparison.

c)

we are concerned about the Placebo effect.

d)

when there many lurking variables.

e)

when we want to isolate a specific lurking variable we are concerned about.

37.

A teacher wants to conduct an experiment to determine if the level of enthusiasm of the teacher impacts how students rate the teacher’s effectiveness. During the fall semester she teaches in a very subdued manner. During the spring session of the course, the teacher acts more enthusiastic by acting excited, moving around more, smiling more, and using voice inflections. She made sure that during each session the texts, assignments, tests, office hours, and lessons were the same.


After each session, the students completed a survey rating the teacher on a number of items including effectiveness. The students in the second session (with more enthusiasm) rated the teacher higher. The difference was determined to be statistically significant.

What are the treatments of the experiment?

a)

the students

b)

the teacher

c)

the class sessions

d)

the enthusiasm levels

e)

the student ratings of the teacher

38.

A teacher wants to conduct an experiment to determine if the level of enthusiasm of the teacher impacts how students rate the teacher’s effectiveness. During the fall semester she teaches in a very subdued manner. During the spring session of the course, the teacher acts more enthusiastic by acting excited, moving around more, smiling more, and using voice inflections. She made sure that during each session the texts, assignments, tests, office hours, and lessons were the same.


After each session, the students completed a survey rating the teacher on a number of items including effectiveness. The students in the second session (with more enthusiasm) rated the teacher higher. The difference was determined to be statistically significant.

What are the experimental units?

a)

the students

b)

the teacher

c)

the class sessions

d)

the enthusiasm levels

e)

the student ratings of the teacher

39.

After analyzing the data, a colleague suggested the time of year (fall vs spring) may have impacted how students felt and how they rated the teachers. We could say time of year and enthusiasm are what.

a)

biased

b)

randomized

c)

confounded

d)

controlled

e)

responsing

40.

Keeping things the same, other than the treatments, is a way to add _______________.

a)

bias

b)

replication

c)

comparison

d)

confounding

e)

control

41.

An experiment is to be conducted to see if using a multi-vitamin can help improve people’s

overall happiness. The researchers are concerned that health of the 100 subjects may make the results harder to interpret so they plan to deal with this lurking variable in the design of the study.

30 of the subjects have serious health issues while the rest are classified as healthy.


On a sheet of paper, create a layout of the treatments for this study.

Type OK when finished.

The answer can be found in the key on Schoology.

4 lines
42.

An experiment is to be conducted to see if using a multi-vitamin can help improve people’s

overall happiness. The researchers are concerned that health of the 100 subjects may make the results harder to interpret so they plan to deal with this lurking variable in the design of the study.

30 of the subjects have serious health issues while the rest are classified as healthy.


On a sheet of paper, diagram your general plan.

Type OK when finished.

The answer can be found in the key on Schoology.

4 lines
43.

An experiment is to be conducted to see if using a multi-vitamin can help improve people’s

overall happiness. The researchers are concerned that health of the 100 subjects may make the results harder to interpret so they plan to deal with this lurking variable in the design of the study.

30 of the subjects have serious health issues while the rest are classified as healthy.


On a sheet of paper, explain how you will randomize your subjects in the experiment.

Type Ok when finished.

The answer can be found in the key on Schoology.

4 lines