Determine which of the following statements about the correlation coefficient ar

Question

Determine which of the following statements about the correlation coefficient are true? (can have multiple answers)

a. If the correlation coefficient is negative, this means there is no correlation between the variables.

b. In order to have a strong linear correlation between two variables the correlation coefficient must be near 0

c. If the correlation coefficient is 1, then the slop must be 1 as well.

d. The correlation measures the strength of linear association between two numerical variables.

e. If the correlation between two varriables is close to 0.01, then there is a very weak linear relation between them.

f. It is possible for the for the correlation coefficient to be -1.5

g. It is possible for variables to have r=0 but still have a strong association

Explanation / Answer

Answer to the question :

a. False. It means that correlation is negative , it doesn't mean that the there is no correlation between the 2 variables

b. False. It must be -1 to 1

c. False. So, not necassarily, even if the slope is lets say 2.5 you can have a perfect correlation of 1

d. True. Correlation given strength of linear assoc between 2 indep. variables

e. True. .01 is a weak correlation

f. False. Correlation must be between -1 and 1

g. True. You can have y = x^2 relation. It is a perfect strong asssociation but a correlation of 0 , when you have x ranging from -2 to 2 in steps of 1

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