Question

37. A correlation coefficient of r = -0.98 between two quantitative variables A and B indicates that | |||||||||||

A. As A increases, B tends to increase. | |||||||||||

B. Changes in A cause changes in B. | |||||||||||

C. As A increases, B tends to decrease. | |||||||||||

D. There is a very weak association between A and B, and change in A will not affect B. |

**Please show work using excel functions!**

Answer #1

37. The correlation co-efficient between A and B is - 0.98.

We can see that the absolute value of correlation is 0.98, which is close to 1 i.e. the correlation is very high. It indicates that A and B are strongly associated i.e. the linear relationship between A and B is very strong.

Also, note that, the sign of the correlation co-efficient is negative, which indicates increase in A causes decrease in B and vice-versa.

Hence, Option (C) is the correct choice.

4. You have calculated a correlation coefficient r = -0.98 for a
set of data. What does this tell you about the relationship between
the variables? which of the given option is correct
a) Strong, direct correlation
b) Weak, direct correlation
c) Strong, inverse correlation
d) Weak, inverse correlation

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 measures the degree to which two variables are
related to one another.
Here are the definitions of the three possibilities:
Positive correlations: In this type of
correlation, both variables increase or decrease at the same time.
A correlation coefficient close to +1.00 indicates a strong
positive correlation.
Negative correlations: This type of
correlation indicates that as the amount of one variable increases,
the other decreases (and vice versa). A correlation coefficient
close to -1.00 indicates a strong negative correlation....

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...

Suppose we have the correlation coefficient for the relationship
between two variables, A and B. Determine whether each of the
following statement is true or false.
(a) The variables A and B are categorical.
(b) The correlation coefficient tells us whether A or B is the
explanatory variable.
(c) If the correlation coefficient is positive, then lower values
of variable A tend to correspond to lower values of variable
B.
(d) If the correlation between A and B is r...

1)Adding an outlier in a scatterplot will do which of the
following to the correlation coefficient? Explain
a) Increase the correlation coefficient
b) Decrease the correlation coefficient
c) Change the correlation coefficient from positive to
negative
d) Change the correlation coefficient from negative to
positive
e) All options above are possible
2) When the correlation coefficient is close to +1, it
indicates. Please explain
a) changes in one variable cause changes in the other, but we
don't know which one...

Describe the relationship between two variables when the
correlation coefficient r is near 0.

Consider a correlation coefficient of .095 between variables A
and B. The correlation coefficient was calculated from a sample of
1100 respondents and is statistically significant, p < .0001.
Consider a correlation coefficient of .891 between variables C and
D. The correlation coefficient was calculated from a sample of 15
observations and is statistically nonsignificant, p > .10.
So, when should marketing analysts consider a correlation strong
enough to even consider given the issue raised above?

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 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...

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