Question

How would you interpret a correlation coefficient of A) 0.84 between two variables? B) -0.02? C) -0.54? What is the coefficient of determination and how do we use it?

Answer #1

correlation coefficient of .84 shows a strong degree of relationship betweent the variable, this show the degree of relation ship between dependent and independt variable means change in 1 point change in independent will cause changes in .84 in depentdent variable

A correlation coefficient of -.02 show the negative but very insignificant degree of association between the variables

A correlation coefficient of -.54 show the strong degree of negative correlation but very significant negative degree of association between the variables

The coefficient of determination is used to measure the proportion of variance of a predicted outcome and it is used to meausre that model is fit to use. it varies With in a range of value of 0 to 1, it is calculated as the square of the correlation coefficient between the sample and predicted data

If correlation coefficient between A and B is -0.12 and
correlation coefficient between B and C is 0.34, what is the best
way to describe the correlation coefficient between A and C? (you
do NOT need to find the actual answers, but
describe what would be the direction and why).

Which of the following is a measure of association between two
variables?
a.
covariance
b.
correlation coefficient
c.
coefficient of determination
d.
options a), b) and c) are all correct
e.
options a), b) and c) are all incorrect

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?

Examining two variables, suppose that you calculate the
correlation coefficient to be equal to 0.14. How would you best
describe this correlation?
A. Weak positive correlation
B. Strong negative correlation
C. Strong positive correlation
D. Weak negative correlation

Use the rank correlation coefficient to test for a
correlation between the two variables.
Ten trucks were ranked according to their comfort levels and their
prices.
Find the rank correlation coefficient and test the claim of
correlation between comfort and price. Use a significance level of
0.05.
rs= ?
critical values = ?

How might squaring a correlation coefficient be useful to
understanding the relationship between two variables?

A correlation coefficient of - .09 between variables X and Y
would be interpreted as indicating ______ between the
variables.
a. weak-positive?
b. strong positive?
c. weak negative?
d.strong negative?

Use the rank correlation coefficient to test for a
correlation between the two variables.
Ten luxury cars were ranked according to their comfort levels and
their prices.
Make: A B C D E F G H I J K
Comfort: 5 8 9 10 4 3 2 1 7 6
Price: 1 7 3 5 4 2 10 9 6 8
Find the rank correlation coefficient and test the claim of
correlation between comfort and price. Use a significance level...

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

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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