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Unit 6B Test Review

Total questions: 85

Worksheet time: 4hrs 48mins

Name
Class
Date
1.
The graph above shows a line of best fit for data collected on the distance bicyclists have remaining in relation to the amount of time they have been riding.  What is the equation of the line of best fit?
a)
y = -25x + 170
b)
y = 25x + 170
c)
y = -(5/8) x + 170
d)
y = (5/8) x + 170
2.
The graph above shows a line of best fit for data collected on the amount earned by waiters and waitresses last week in relation to the number of tables they served.  What is the equation of the line of best fit?
a)
y = (5/3) x + 375
b)
y = (1/3) x + 475
c)
y = (5/3) x + 475
d)
y = (1/3) x + 375
3.
A small theme park is trying to determine the number of guests they should expect on a weekend, based on the temperature outside.  Based on the trend line, about how many guests should be expected if the temperature is around 80°?
a)
8,300
b)
8
c)
7,300
d)
9,300
4.
A group of students did an experiment to see how drinking cups of coffee right before bed affected sleep.  The results are shown below in the scatter plot with a line of best fit.  Use the given line of best fit to approximate the rate of change relative to the scatter plot.
a)
(7/5) hours/cup
b)
(5/7) hours/cup
c)
- (7/5) hours/cup
d)
- (5/7) hours/cup
5.
Looking at the graph, what is the correlation between the x and y variables?
a)
y increases as x increases
b)
y is constant
c)
y decreases as x descreases
d)
y decreases as x increases
6.
Looking at the graph showing a line of best fit, what is the correlation shown?
a)
Length of life is constant
b)
Length of life increases as amount of sunlight increases
c)
Length of life increases as amount of sunlight decreases
d)
Length of life decreases as amount of sunlight increases
7.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
8.
What is the correlation?
a)
Negative correlation
b)
No correlation
c)
Positive correlation
d)
All of the above
9.
As the age of the car increases, its value decreases. Which scatterplot represents this relationship?
a)
A
b)
B
c)
C
d)
D
10.
What is a scatter plot?
a)
A graph that shows the relationship of two data sets.
b)
A graph drawn using rectangular bars to show how large each value is.
c)
A graph that shows information that is connected in some way.
d)
A graph that shows data changing over time.
11.
You are analyzing a scatter plot that has a negative correlation. What is true of the of the x and y values?
a)
As x increases, y decreases
b)
As x increases, y increases
c)
As x decreases, y decreases
12.
What is the correlation between length of running start and distance of jump?
a)
positive:  the further you run the further you jump
b)
negative: the less you run the less distance of your jump
c)
positive: the further your running start the less your distance
13.
Which of the following lines represents the line of best fit for the scatter plot?
a)
A
b)
B
c)
C
d)
D
14.

What the y-intercept for the line of best fit for the scatter plot?

a)

35

b)

50

c)

30

d)

20

15.

_________________ correlation is when one set of data increases and the other set of data also increases.

a)

Positive

b)

Negative

c)

No

16.

_________________ correlation is when one set of data increases and the other set of data decreases.

a)

Positive

b)

Negative

c)

No

17.

Which sentence describes the relationship shown on this scatter plot?

a)

As the temperature decreases, the visitors increase.

b)

As the temperature increases, the number of visitors increases.

c)

As the visitors increase, the temperature decreases.

d)

No correlation

18.
Which sentence describes the relationship shown on this scatter plot?
a)
The more time spent training, the longer it takes to run 100 m.  
b)
As the time spent training increases, the time to run 100 m decreases. 
c)
As the time spent training decreases, the time to run 100 m decreases. 
19.
The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?
a)
The more books students read, the lower their English grade.
b)
The more books students read, the higher their English grade.
c)
The fewer books students read, the higher their English grade. 
d)
No relationship exists between the number of books students read and their English grades. 
20.
the slope is -5/7, what does that mean?
a)
gain 5 hour of sleep for 7 cups of coffee
b)
lose 5 hours of sleep for 7 cups of coffee
c)
lose 7 cups of coffee for 5 hours of sleep
d)
lose 5 cups of coffee for 7 hours of sleep
21.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
22.
The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month.  Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles? 
a)
A. 50 min
b)
B. 80 min
c)
C. 45 min
d)
D. 60 min
23.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
24.
What type of correlation (association)?
The outside temperature and the amount of layers you wear. 
a)
Positive correlation
b)
Negative correlation
c)
No correlation
d)
All of the above
25.
The number of siblings you have and your weight. 
a)
Positive correlation
b)
Negative correlation
c)
No correlation
d)
All of the above
26.
Based on the graph, if Joe earned $400, how many hours did he work?
a)
25 hours
b)
35 hours
c)
45 hours
d)
15 hours
27.
As x increases, y increases
a)
correlation coefficient
b)
causation
c)
positive correlation
d)
negative correlation
28.
What is the correlation between length of running start and distance of jump?
a)
positive:  the further you run the further you jump
b)
negative: the less you run the less distance of your jump
c)
positive: the further your running start the less your distance
29.
Which scatter plot shows a linear relationship between x and y?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
30.
What is the correlation?
a)
Negative correlation
b)
No correlation
c)
Positive correlation
d)
All of the above
31.
If a scatterplot has no association then...
a)
...it has no ordered pairs
b)
...it has ordered pairs that have a negative pattern
c)
...its ordered pairs have no predictable pattern
d)
...if it makes a lion on a graph (roar!)
32.
In a scatterplot, an outlier...
a)
...is something we didn't learn 8th grade
b)
...is a puppet with a long nose named Pinocchio
c)
...is a point that is far outside the main cluster of points/ordered pairs
d)
...is a really naughty point who doesn't tell the truth when outside
33.
The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?
a)
The more books students read, the lower their English grade.
b)
The more books students read, the higher their English grade.
c)
The fewer books students read, the higher their English grade. 
d)
No relationship exists between the number of books students read and their English grades. 
34.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
35.
Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam? 
a)
65
b)
92
c)
70
d)
76
36.
What type of association does this scatter plot represent?
a)
positive linear association
b)
negative association
c)
no association
d)
nonlinear association
37.
About how many male math teachers were there in 2006?
a)
15
b)
30
c)
35
d)
45
38.
What represents the x axis?
a)
ABC Company
b)
Hours Worked
c)
Amount Earned in Dollars
d)
Hours in Car
39.
A trucking company keeps track of the number of miles each of its drivers logs each week.  Describe the correlation between the number of miles a driver logs and the drivers age.
a)
There is a positive correlation.
b)
There is a negative correlation.
c)
There is no correlation.
d)
There is a parallel correlation
40.
a)
14 cm
b)
5.6 cm
c)
10 cm
d)
17.5 cm
41.

Number of steps taken per day and number of kilometers walked per day. r=.92r=.92  

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

42.

Temperature of a rubber band and distance the rubber band can stretch. r=.84r=.84  

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

43.

Car weight and distance traveled using a full tank of gas.  r=−.86r=-.86  

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

44.

Average fat intake per citizen of a country and average cancer rate of a country.  r=.73r=.73  

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

45.

Score on science exam and number of words written on the essay question.  r=.28r=.28  

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

46.

Average time spent listening to music per day and average time spent watching TV per day.  r=−.17r=-.17  

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

47.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

48.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = -0.9

b)

B) r = 1

c)

C) r = 0.9

d)

D) r = -1

49.

As x increases, y decreases.

a)

A) no correlation

b)

B) negative correlation

c)

C) correlation coefficient

d)

D) positive correlation

50.

As x increases, y increases

a)

A) correlation coefficient

b)

B) causation

c)

C) positive correlation

d)

D) negative correlation

51.

Which example shows CAUSATION? (Which one CAUSED the other to happen.)

a)

High social media usage and reduced grades.

b)

Car ran out of gas and being stranded on the side of the road.

c)

Recess time and number of friends.

52.

Which example shows CAUSATION? (Which one CAUSED the other to happen.)

a)

Rainfall and time spent reading.

b)

Eating more butter and increased divorce rates.

c)

It started raining and the baseball game was delayed.

53.

Which example shows CAUSATION? (Which one CAUSED the other to happen.)

a)

Being happy and being a better student.

b)

An insect ate poison and it died.

54.

Which example shows CORRELATION? (The events show correlation, but one thing does NOT cause the other thing to happen.)

a)

I put water in the freezer and now I have ice.

b)

The alarm clock went off and I woke up.

c)

Temperature and the amount of people at the beach.

55.

Which example shows a CORRELATION? (The events show correlation, but one thing does NOT cause the other thing to happen.)

a)

It rained and the ground is wet.

b)

Ice cream sales increase as temperature increases.

56.

Data is analyzed comparing hours studied and grades. It is determined that the correlation coefficient is 0.92. What does this mean?

a)

There is a strong positive correlation between studying and grades.

b)

There is a strong negative correlation between studying and grades.

c)

There is a weak positive correlation between studying and grades.

d)

There is a weak negative correlation between studying and grades.

57.

Data is collected comparing sales of cars and the age of the salesperson. After analyzing the data, it is determined that the correlation coefficient is 0.19. What does this mean?

a)

There is no correlation between sales and age.

b)

There is a strong positive correlation between sales and age.

c)

There is a strong negative correlation between sales and age.

d)

There is a weak negative correlation between sales and age.

58.

Data is collected comparing minutes of exercise each day and blood pressure. It is determined that the correlation coefficient is -0.87. What does this mean?

a)

There is a strong negative correlation between exercise and blood pressure.

b)

There is a weak negative correlation between exercise and blood pressure.

c)

There is a strong positive correlation between exercise and blood pressure.

d)

There is no correlation between exercise and blood pressure.

59.
Describe the relationship between the variables.
a)
no correlation
b)
strong positive correlation
c)
strong negative correlation
d)
weak positive correlation
60.

Estimate the correlation coefficient

a)

r= -0.9

b)

r= 0.9

c)

r=-0.5

d)

r=0.5

61.
Describe the relationship between the variables.
a)
Weak positive correlation
b)
Weak negative correlation
c)
Strong positive correlation
d)
Strong negative correlation
62.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
63.
r=0.3
a)
Strong positive 
b)
Weak positive
c)
Strong negative
d)
Weak negative 
64.
Estimate the correlation coefficient for this scatterplot. 
a)
r = -0.9
b)
r = 1
c)
r = 0.9
d)
r = -1
65.
Estimate the correlation coefficient for this scatterplot.
a)
r = 1.2
b)
r = 0.89
c)
r = 0
d)
r = -0.89
66.
Which sentence describes the relationship shown on this scatterplot?
a)
As the temperature decreases, the visitors increase. 
b)
As the temperature increases, the number of visitors increases. 
c)
As the visitors increase, the temperature decreases. 
d)
No correlation
67.
A perfect negative correlation has a correlation coefficient of ____. 
a)
1
b)
-1
c)
0
68.
If there is NO correlation, the correlation coefficient is ____. 
a)
1
b)
-1
c)
0
69.

Which of the following is the WEAKEST negative correlation?

a)

-0.73

b)

- 0.34

c)

- 0.92

d)

- 0.57

70.
Attendance & grades have a r-value of
 ( - 0.89)...this indicates a ______ correlation.
a)
Strong positive 
b)
Weak positive 
c)
Strong negative 
d)
Weak negative 
71.
Out of those surveyed, what is the probability that the student is a boy who can't bike to school (in simplest form)?
a)
4/30
b)
7/30
c)
2/15
d)
14/30
72.
Identify the join relative frequency of boys that have blond hair.
a)
.4
b)
0.1
c)
0.44
d)
0.2
73.
What percentage of the students were boys?
a)
20%
b)
25%
c)
40%
d)
50%
74.
What percentage of the days that it rained, did they forecast no rain?
a)
About 20%
b)
About 18%
c)
About 14%
d)
About 12%
75.
Of the mechanical engineers, what is the probability that math is their favorite subject?
a)
1.91
b)
52%
c)
17%
d)
35%
76.
How many chemical engineers chose Science as their favorite subject?
a)
80
b)
91
c)
171
d)
262
77.
According to the table, what is the relative frequency of students ages 10 - 13 who eat breakfast?
a)
About 33%
b)
About 50%
c)
About 40%
d)
About 44%
78.
According to the two-way table, a person who plays an instrument is most likely to:
a)
Not play an instrument
b)
Not play a team sport
c)
Play a team sport
d)
All of the above
79.
What percentage of males drive sports cars?
a)
35%
b)
16.25%
c)
65%
d)
25%
80.
A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.
a)
y = 1.5x + 12
b)
y = 12x + 1.5
c)
y = 0.67x - 8
d)
y = -8x + 0.67
81.
A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.
a)
y = 61.93x - 1.79
b)
y = -1.79x + 61.93
c)
y = 0.016x + 0.03
d)
y = 0.03x + 0.016
82.
The chart below tracts starting salaries for health care workers since the year 2000. Using linear regression, find the equation of best fit. Round decimals to 3 places.
a)
y = 839.721x + 27541.812
b)
y = 27541.812x - 839.721
c)
y = 27541.812x + 839.721
d)
y = 839.721x - 27541.812
83.

Find the equation of the line of best fit for the given data

a)

y = 163.41x+1.49

b)

y =- 163.41x+ 4.19

c)

y =- 4.19x+163.41

d)

y = 4.19x -163.41

84.

Write the linear regression equation for the following data points. Round to the nearest hundredth.

a)

 y=−0.83x+0.61y=-0.83x+0.61

b)

 y=−0.83x+0.63y=-0.83x+0.63

c)

 y=0.83x+−0.8y=0.83x+-0.8

d)

 a2+b2=c2a^2+b^2=c^2

85.
Shelia collected data on ticket sales for the homecoming dance.  If she plots the data on the scatterplot shown above, which equation best models the table?
a)
y = 4.22x + 20.98
b)
y = 4.22x - 20.98
c)
y = -4.22x + 20.98
d)
y = -4.22x - 20.98