Consider the following statements :
1. Two independent variables are always uncorrelated.
2. The coefficient of correlation between two variables X and Y is positive. When X decreases then Y decreases.
Which of the above statements is/are correct ?

1 only

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2 only

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Both 1 and 2

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Neither 1 nor 2

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Solution

The correct option is C Both 1 and 2
Two independent variables have coefficient of correlation $0$ , So they are always uncorrelated.
Positive coefficient means they both move in same direction, so if $X$ decreases then $Y$ also decreases.
So, both the statements are correct.
Hence, C is correct.

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