Question
In: Statistics and Probability
a) What does it mean if there is a correlation between two variables? b) What does...
a) What does it mean if there is a correlation between two variables?
b) What does "correlation doesn't always imply causation" mean?
Solutions
Expert Solution
A.) Correlation is a statistical technique which tells us how strongly the pair of variables are linearly related and change together. It does not tell us why and how behind the relationship but it just says the relationship exists.
B.)Causation takes a step further than correlation. It says any change in the value of one variable will cause a change in the value of another variable, which means one variable makes other to happen. It is also referred as cause and effect.
orchestra answered 2 years agoRelated Solutions
1. If there is no correlation between two variables, what is the value of the correlation...
1. If there is no correlation between two variables, what is
the value of the correlation coefficient?
to. -1
b. 0
c. 1
d. -0
2. In a scatter diagram, on which axis is the dependent
variable always recorded?
to. x axis
b. y axis
3. What is the dependent and independent variable?
• time
• quantities produced
Does a product-moment correlation of zero between two variables imply that the variables are not related?
Does a product-moment correlation of zero between two variables
imply that the variables are not related?
A perfect correlation between two variables would be represented by a coefficient of: a. .00 b....
A perfect correlation between two variables would be represented
by a coefficient of:
a. .00
b. 1.00
c. 2.00
d. 100.00
• What does it mean when we say that there is a relationship between two variables?...
• What does it mean when we say that there is a relationship
between two variables?
• What kinds of relationships can there be between two
variables?
• Give an example of two variables that are related. For
example, my daughter has an hourly salary. Her paycheck amount is
related to how many hours she worked.
• Give an example of two variables that are NOT related.
• Why might the regression equation you have found NOT be a good...
If the sample correlation between two random variables is small in magnitude (say 0.1), does that...
If the sample correlation between two random variables is small
in magnitude (say 0.1), does that necessarily imply that the test
for the significance of the correlation will have a large p-value
(> 0.05)?
What are the differences between results that demonstrate a correlation between two variables and results where a regression is run using two variables?
What are the differences between results that demonstrate a correlation between two variables and results where a regression is run using two variables? Think about your future clinical role and provide a clinical example of variables that you may want a correlation analysis run and explain. Think about your future clinical role and provide a clinical example of variables that you may want a regression analysis run and explain.
What is/are true about the correlation between the two variables? I. It measures the strength of...
What is/are true about the correlation between the two
variables?
I. It measures the strength of the linear relation between the
variables, as seen in the roundness/flatness of the scatterplot
between the two variables.
II. If the correlation equals 0, then there is no relation
between the two variables.
III. If the correlation is very high, then there is a strong
causal relation between the two variables.
a. l only
b. II only
c. I and III
d. I and...
Each of the following scenarios describes a correlation between two variables. State whether the correlation is...
Each of the following scenarios describes a correlation
between two variables. State whether the correlation is most likely
due to a coincidence, a common underlying cause, or a direct cause.
If there is an underlying cause, state what you think it is. If you
believe that one variable directly causes the other, suggest
possible physical causation.
1. Sales of winter boots are positively correlated with
the sale of sidewalk salt.
2. I’ve noticed that the more hours I work each...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between
the two variables at a significance level of α=0.10α=0.10. You have
the following bivariate data set.
x
y
85.9
65.4
73.2
49.4
62.2
36.9
86.4
52.3
76
52.8
70.8
34
77.6
59.4
70.1
47.2
80.2
65.8
83.9
46.2
80.1
47
68.8
50.8
85.5
82.9
74.3
69.9
72.7
42.8
87.1
65.6
70.4
59.3
85.2
64.5
63.3
31.9
92.6
80.4
87
62.2
77.3
63.8
93.9
64.4
What is the correlation coefficient...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between
the two variables at a significance level of α=0.005α=0.005. You
have the following bivariate data set.
x
y
39
52.7
29.7
82.5
32.1
72.4
39.4
98.3
31.1
51.4
43.1
51.8
35.5
43.8
29.5
90.8
38.4
100
36.8
7.4
34
67.5
28.3
97.2
32.2
82.2
29.9
28.9
What is the correlation coefficient for this data set?
r =
What is the p-value for this correlation coefficient?
p-value =
Your final...
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