4. Sophia - Introduction to Statistics (3) - Unit 4
1. Robert is wondering if there is an association between A.)6 hours
the number of hours he studies and the number of
semester credits he is enrolled in. The information is
shown in the scatterplot below.
If Robert is enrolled in five semester credits, how many
hours did he study?
A.)6 hours
B.)9 hours
C.)4 hours
D.)3 hours
2. Glen Sarin is a photographer who is wondering if there C.)750 photographs
is an association between the number of photographs
she takes and percent cloud coverage. Her record is
shown in the scatterplot.
How many photographs did she take when the cloud
coverage was 4% or less?
A.)150 photographs
B.)
1,050 photographs
C.)750 photographs
D.)900 photographs
3. Mr. Carl Burl, an artist, has recorded the number of D.)16 visitors
visitors who visited his exhibit in the first 8 hours of
opening day. He has made a scatterplot to depict the
relationship between the number of hours and the
number of visitors.
How many visitors came to his exhibition in the first 3
hours?
A.)7 visitors
B.)6 visitors
, 4. Sophia - Introduction to Statistics (3) - Unit 4
C.)22 visitors
D.)16 visitors
4. The following scatterplot shows the 20 top-selling cars A.)
with their weight on the horizontal axis and their miles negative; moderately
per gallon (mpg) on the vertical axis. strong
The overall direction of this data is __________. The
strength of the association is __________.
A.)
negative; moderately strong
B.)
positive; moderately strong
C.)negative; weak
D.)positive; weak
5. The following scatterplot shows the 20 top-selling cars C.)negative; strong
with their weight on the horizontal axis and their miles
per gallon (mpg) on the vertical axis.
The overall direction of this data is __________. The
strength of the association is __________.
A.)negative; weak
B.)positive; weak
C.)negative; strong
D.)positive; strong
6. The following scatterplot relates the life expectancy of E.)The strength of the as-
animals to their heart rate. sociation is strong.
Ignoring humans (which are labeled "Man" in the scat- F.)The overall direction of
terplot), which two conclusions can be made from the data is negative.
scatterplot?
A.)The overall direction of the data is positive.
B.)The strength of the association is weak.
, 4. Sophia - Introduction to Statistics (3) - Unit 4
C.)
The overall direction of the data is nonlinear.
D.)The strength of the association is moderate.
E.)The strength of the association is strong.
F.)The overall direction of data is negative.
7. Simone, a veterinary student, recently discovered the C.)
following scatterplot produced by the Department of Explanatory variable: Ani-
Agriculture. mal weightResponse vari-
Which answer correctly indicates the explanatory vari- able: Food cost
able and the response variable?
A.)
Explanatory variable: Food costResponse variable: An-
imal weight
B.)
Explanatory variable: Number of animalsResponse
variable: Food cost
C.)
Explanatory variable: Animal weightResponse vari-
able: Food cost
D.)
Explanatory variable: Type of animalResponse vari-
able: Animal weight
8. Tasha found the following scatterplot that shows four A.)
different compact cars at different speeds, from 20 to Explanatory variable:
70 mph. MPHResponse variable:
Which answer choice correctly indicates the explana- MPG
tory variable and the response variable?
A.)
Explanatory variable: MPHResponse variable: MPG
B.)
, 4. Sophia - Introduction to Statistics (3) - Unit 4
Explanatory variable: MPHResponse variable: Cars
C.)
Explanatory variable: MPGResponse variable: MPH
D.)
Explanatory variable: CarsResponse variable: MPG
9. Shawna reads a study about exercise that includes the B) Explanatory variable:
following scatterplot. WeightResponse variable:
Which answer choice correctly indicates the explana- Calories burned per
tory variable and the response variable? minute
A.)
Explanatory variable: WeightResponse variable: Exer-
cise
B) Explanatory variable: WeightResponse variable:
Calories burned per minute
C.)
Explanatory variable: Calories burned per minuteRe-
sponse variable: Weight
D.)
Explanatory variable: ExerciseResponse variable: Calo-
ries burned per minute
10. Select the statement about the correlation coefficient D.)The correlation coeffi-
(r) that is TRUE. cient is always between -1
A.)The correlation coefficient cannot be calculated by and +1.
hand. A statistical software must be used.
B.)
The correlation coefficient r = 0.75 shows a very strong
positive relationship between two variables.
C.)The stronger the strength of association, the lower
the value of the correlation coefficient.
1. Robert is wondering if there is an association between A.)6 hours
the number of hours he studies and the number of
semester credits he is enrolled in. The information is
shown in the scatterplot below.
If Robert is enrolled in five semester credits, how many
hours did he study?
A.)6 hours
B.)9 hours
C.)4 hours
D.)3 hours
2. Glen Sarin is a photographer who is wondering if there C.)750 photographs
is an association between the number of photographs
she takes and percent cloud coverage. Her record is
shown in the scatterplot.
How many photographs did she take when the cloud
coverage was 4% or less?
A.)150 photographs
B.)
1,050 photographs
C.)750 photographs
D.)900 photographs
3. Mr. Carl Burl, an artist, has recorded the number of D.)16 visitors
visitors who visited his exhibit in the first 8 hours of
opening day. He has made a scatterplot to depict the
relationship between the number of hours and the
number of visitors.
How many visitors came to his exhibition in the first 3
hours?
A.)7 visitors
B.)6 visitors
, 4. Sophia - Introduction to Statistics (3) - Unit 4
C.)22 visitors
D.)16 visitors
4. The following scatterplot shows the 20 top-selling cars A.)
with their weight on the horizontal axis and their miles negative; moderately
per gallon (mpg) on the vertical axis. strong
The overall direction of this data is __________. The
strength of the association is __________.
A.)
negative; moderately strong
B.)
positive; moderately strong
C.)negative; weak
D.)positive; weak
5. The following scatterplot shows the 20 top-selling cars C.)negative; strong
with their weight on the horizontal axis and their miles
per gallon (mpg) on the vertical axis.
The overall direction of this data is __________. The
strength of the association is __________.
A.)negative; weak
B.)positive; weak
C.)negative; strong
D.)positive; strong
6. The following scatterplot relates the life expectancy of E.)The strength of the as-
animals to their heart rate. sociation is strong.
Ignoring humans (which are labeled "Man" in the scat- F.)The overall direction of
terplot), which two conclusions can be made from the data is negative.
scatterplot?
A.)The overall direction of the data is positive.
B.)The strength of the association is weak.
, 4. Sophia - Introduction to Statistics (3) - Unit 4
C.)
The overall direction of the data is nonlinear.
D.)The strength of the association is moderate.
E.)The strength of the association is strong.
F.)The overall direction of data is negative.
7. Simone, a veterinary student, recently discovered the C.)
following scatterplot produced by the Department of Explanatory variable: Ani-
Agriculture. mal weightResponse vari-
Which answer correctly indicates the explanatory vari- able: Food cost
able and the response variable?
A.)
Explanatory variable: Food costResponse variable: An-
imal weight
B.)
Explanatory variable: Number of animalsResponse
variable: Food cost
C.)
Explanatory variable: Animal weightResponse vari-
able: Food cost
D.)
Explanatory variable: Type of animalResponse vari-
able: Animal weight
8. Tasha found the following scatterplot that shows four A.)
different compact cars at different speeds, from 20 to Explanatory variable:
70 mph. MPHResponse variable:
Which answer choice correctly indicates the explana- MPG
tory variable and the response variable?
A.)
Explanatory variable: MPHResponse variable: MPG
B.)
, 4. Sophia - Introduction to Statistics (3) - Unit 4
Explanatory variable: MPHResponse variable: Cars
C.)
Explanatory variable: MPGResponse variable: MPH
D.)
Explanatory variable: CarsResponse variable: MPG
9. Shawna reads a study about exercise that includes the B) Explanatory variable:
following scatterplot. WeightResponse variable:
Which answer choice correctly indicates the explana- Calories burned per
tory variable and the response variable? minute
A.)
Explanatory variable: WeightResponse variable: Exer-
cise
B) Explanatory variable: WeightResponse variable:
Calories burned per minute
C.)
Explanatory variable: Calories burned per minuteRe-
sponse variable: Weight
D.)
Explanatory variable: ExerciseResponse variable: Calo-
ries burned per minute
10. Select the statement about the correlation coefficient D.)The correlation coeffi-
(r) that is TRUE. cient is always between -1
A.)The correlation coefficient cannot be calculated by and +1.
hand. A statistical software must be used.
B.)
The correlation coefficient r = 0.75 shows a very strong
positive relationship between two variables.
C.)The stronger the strength of association, the lower
the value of the correlation coefficient.
