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The coefficient of correlation 'r' between x and y when cov ( x,y) = -16.5, var (x) = 2.89 and var (y) = 100 is *?
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The coefficient of correlation 'r' between x and y when cov ( x,y) = -...
Coefficient of Correlation 'r' Calculation



  • Given cov(x,y) = -16.5, var(x) = 2.89 and var(y) = 100

  • The formula for coefficient of correlation is r = cov(x,y) / (SD(x) * SD(y))

  • SD(x) = sqrt(var(x)) and SD(y) = sqrt(var(y))

  • Substituting the given values, we get r = -16.5 / (1.7 * 10)

  • Simplifying the above expression, we get r = -0.97



Interpretation



  • The value of r ranges from -1 to +1

  • A value of -1 indicates a perfect negative correlation

  • A value of +1 indicates a perfect positive correlation

  • A value of 0 indicates no correlation

  • In this case, the value of r is -0.97

  • This indicates a strong negative correlation between x and y

  • As the value of x increases, the value of y decreases

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The coefficient of correlation 'r' between x and y when cov ( x,y) = -16.5, var (x) = 2.89 and var (y) = 100 is *?
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The coefficient of correlation 'r' between x and y when cov ( x,y) = -16.5, var (x) = 2.89 and var (y) = 100 is *? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The coefficient of correlation 'r' between x and y when cov ( x,y) = -16.5, var (x) = 2.89 and var (y) = 100 is *? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The coefficient of correlation 'r' between x and y when cov ( x,y) = -16.5, var (x) = 2.89 and var (y) = 100 is *?.
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