Question

If you find a Pearson's correlation of zero between two continuous variables, this means:

A. There is no relationship between the two variables

B. There is a strong relationship between the two variables

C. There may be a non-linear relationship between the two variables

D. Two of these answers are correct

Answer #1

Answer: Pearson's coefficient of correly measure the degree of linear relationship between two variable. The range of correlation coefficient is -1 to 1.

r=-1 means there is negative correlation between variables.

r=0 means there is no relationship or non linear relationship between the variable.

r=1 means there is perfect positive correlation between two variables.

So the option A and C are correct.

A. There is no relationship between the two variable

C. There may be a non-linear relationship between the two variables

Introduced in Chapter 10, Pearson's r measures the linear _____
between two _____ level variables.
a. correction, interval
b. correlation, nominal
c. correction, nominal
d. correlation, interval

A) Two variables have a high covariance. This means the two
variables have a strong relationship. T/F
B) For a variable x, the sample mean is 8 and the sample
standard deviation is 2. One of the observations is 15. Is this
observation an outlier?
Group of answer choices
Yes, the z-score is greater than 3
No, the z-score is between -3 and 3
Yes, the z-score is between -3 and 3
No, the z-score is less than -3
C)...

Which statement explains why correlation could be 0 even if a
strong relationship between two variables existed?
Group of answer choices
Since the correlation is 0, there is no strong relationship
between the two variables; and a scatterplot would be
misleading.
Correlation can be 0 even if there is a strong linear
relationship between the variables.
Correlation only measures the strength of the relationship
between two variables when the units of the two variables are the
same.
Correlation does not...

A value of -1 for the coefficient of correlation between two
variables means that the two variables are ________________.
a)somewhat strongly related
b)weakly related
c)perfectly related
d)very weakly related
e)not related at all
2) If the correlation coefficient between variables X
and Y is roughly zero, then ______.
a)Y is independent of X
b)Y is dependent on X
c)there is a linear correlation between Y and
X
d)Y is not necessarily independent of X
e)Y is caused by X.
3)...

A Correlation Coefficient is a measurement of
the relationship between two variables. A positive correlation
means that as one variable increases, the second variable increases
too. A negative correlation means that as one variable increases,
the second variable decreases, or as one variable decreases, the
second variable increases. Positive and negative correlations
exists in nature, science, business, as well as a variety of other
fields. Please watch the following video for a graphical
explanation of the correlation coefficient:
For Discussion...

A negative correlation between variables X and Y means that
____.
A. the correlation between variables X and Y is very weak
B. scores on variable X has little predicting power on the
corresponding scores on variable Y
C. higher scores on variable X correspond to lower scores on
variable Y and vice versa
D. Higher scores on variable X correspond to higher scores on
variable Y while lower scores on variable X correspond to lower
scores on variable Y...

When you are presented with a Pearson’s correlation
coefficient between two variables for which an increase in one
predicts a decrease in the other, and vice versa, the Pearson’s
number will be
zero; the Pearson number is only meaningful if the
variables move in the same direction as one another
close to -1 if the correlation is strong, negative but
near zero if the correlation is weak
close to -1 if the correlation is strong, close to +1
if the...

A coefficient of correlation of -0.9 indicates the relationship
between the two variables is
(a) weak and negative
(b) strong and positive
(c) strong and negative

Correlation is a visual method for determining the relationship
between two variables... including linear, curve linear, strong,
weak, positive, negative, and no relationships. The correlation
coefficient is a mathematical reflection of that relationship.
Regression analysis is the same thing as the correlation
coefficient. True or False

Suppose the correlation coefficient between two variables is
found to be 0.83. Which of the following statements are true?
small values of one variable are associated with large values of
the other variable
the relationship between the variables is weak
a scatter plot of the points would show an upward trend
low values of one variable tend to be paired with low values of
the other variable
there is a strong positive curvilinear relationship between the
variables
there is a...

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