A large sample ol data Is collected In order to study the relationship between t

Question

A large sample ol data Is collected In order to study the relationship between the two variables X and Y to Investigate whether X can be used to predict the value of Y. It Is found that r =.75. Which one of the following statements Is true? A X and Y are perfectly^near correlated and Y increases as X increases. B X and Y are perfectly linear correlated and Y decreases as X increases. C X and Y are moderately linear correlated and Y Increases as X Increases. O X and Y are moderately linear correlated and Y decreases as X increases.

Explanation / Answer

X is a independent variable and Y is a dependent variable . The correlation coeffiecient between x and y is r= -0.75

It implies there is a negative moderate correlation between the variable X and Y . If x increses by 1 unit then y decreases by 1 unit since they are negative correlated. The strength of the correlation is moderate since magnitude of the r value is 0.75 which is moderate value.

Option A cannot be true since r value = -0.75 .For perfectly correlation, correlation coefficient r= 1

Option B cannot be true for the same reason

option C cannot be true since The given r value is negative .if x increases the value value of y will decreases

Option D is the correct statement since it is moderately correlated and x increases and y decrease

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