A co-efficient of correlation having a value of +0.87 implies that -

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UGC NET Paper 2: Commerce 29 Sep 2022 Shift 2
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  1. Co-efficient of correlation is strong and positive.
  2. Co-efficient of determination is extremely weak.
  3. The relationship between two variables is weak, but positive.
  4. The relationship between two variables is strong.

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Option 1 : Co-efficient of correlation is strong and positive.
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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The correct answer is Co-efficient of correlation is strong and positive.

Key PointsIf the coefficient of correlation is having a value of more than +0.75, the relationship between the variables will be strong. 

In simple linear regression analysis, the coefficient of correlation (or correlation coefficient) is a statistic which indicates an association between the independent variable and the dependent variable. The coefficient of correlation is represented by "r" and it has a range of -1.00 to +1.00.Additional InformationA correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables. In other words, it reflects how similar the measurements of two or more variables are across a dataset.

Correlation coefficient value Correlation type Meaning
1 Perfect positive correlation When one variable changes, the other variables change in the same direction.
0 Zero correlation There is no relationship between the variables.
-1 Perfect negative correlation When one variable changes, the other variables change in the opposite direction.

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