MATH MAT232:
Statistical Literacy
Week 5 – Assignment
2023
,Assignment: Week 5 - Assignment
1. For the following pair of variables, state whether you believe the two variables are correlated. If
you believe they are correlated, state whether the correlation is positive or negative. Explain your
reasoning.
The age of the pilot and the altitude of the
aircraft Choose the correct answer below.
A. Positive correlation because older pilots tend to fly at higher altitudes
B. The variables are not correlated.
C. Negative correlation because younger pilots tend to fly at higher altitudes
2. For the following pair of variables, state whether you believe the two variables are correlated. If
you believe they are correlated, state whether the correlation is positive or negative. Explain your
reasoning.
The IQ scores and hat sizes of randomly selected
adults Choose the correct answer below.
A. The variables are not correlated
B. Positive correlation because adults with larger hats tend to have higher IQs
C. Negative correlation because adults with larger hats tend to have higher IQs
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, 3/4/2021 Week 5 - Assignment-
3. Consider the following table showing speed limits and death rates from automobile accidents in
selected countries. Complete parts a and b.
1
Click the icon to view the table.
a. Construct a scatter diagram of the data. Choose the correct graph below.
A. B. C.
6 6 6
Speed limit
Death
Death
3 3 3
rate
rate
(mph)
0
50 65 0 0
80 50 65 50 65 80
80 Speed limit (mph)
Speed limit (mph)
Death rate
b. Calculate the correlation coefficient of the data. Briefly characterize the correlation in words (for
example, moderate positive correlation, weak negative correlation).
r= 0.59 (Round to two decimal places as needed.)
Characterize the correlation in words.
There is
moderate correlation.
a
positive
1: Data Table
Death rate Speed limit
Country (per 100 (miles per hour)
million vehicle-
miles)
1 3.1 54
2 3.4 54
3 3.5 54
4 3.6 69
5 4.2 54
6 4.4 59
7 4.8 54
8 5.0 64
9 5.2 59
10 6.2 74
2/14
Statistical Literacy
Week 5 – Assignment
2023
,Assignment: Week 5 - Assignment
1. For the following pair of variables, state whether you believe the two variables are correlated. If
you believe they are correlated, state whether the correlation is positive or negative. Explain your
reasoning.
The age of the pilot and the altitude of the
aircraft Choose the correct answer below.
A. Positive correlation because older pilots tend to fly at higher altitudes
B. The variables are not correlated.
C. Negative correlation because younger pilots tend to fly at higher altitudes
2. For the following pair of variables, state whether you believe the two variables are correlated. If
you believe they are correlated, state whether the correlation is positive or negative. Explain your
reasoning.
The IQ scores and hat sizes of randomly selected
adults Choose the correct answer below.
A. The variables are not correlated
B. Positive correlation because adults with larger hats tend to have higher IQs
C. Negative correlation because adults with larger hats tend to have higher IQs
1/14
, 3/4/2021 Week 5 - Assignment-
3. Consider the following table showing speed limits and death rates from automobile accidents in
selected countries. Complete parts a and b.
1
Click the icon to view the table.
a. Construct a scatter diagram of the data. Choose the correct graph below.
A. B. C.
6 6 6
Speed limit
Death
Death
3 3 3
rate
rate
(mph)
0
50 65 0 0
80 50 65 50 65 80
80 Speed limit (mph)
Speed limit (mph)
Death rate
b. Calculate the correlation coefficient of the data. Briefly characterize the correlation in words (for
example, moderate positive correlation, weak negative correlation).
r= 0.59 (Round to two decimal places as needed.)
Characterize the correlation in words.
There is
moderate correlation.
a
positive
1: Data Table
Death rate Speed limit
Country (per 100 (miles per hour)
million vehicle-
miles)
1 3.1 54
2 3.4 54
3 3.5 54
4 3.6 69
5 4.2 54
6 4.4 59
7 4.8 54
8 5.0 64
9 5.2 59
10 6.2 74
2/14
