(a) The covariance of two variables has been calculated to be 150: What does the
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Question
(a) The covariance of two variables has been calculated to be 150: What does the statistic tell you about the relationship between the two variables? (b) You've now learned that the two sample standard deviations are 16 and 12. Calculate the coecient of correlation. What does the statistic tell you about the relationship between the two variables? (a) The covariance of two variables has been calculated to be 150. What does the statistic tell you about the relationship between the two variables? (b) You've now learned that the two sample standard deviations are 16 and 12. Calculate the coefficient of correlation. What does the statistic tell you about the relationship between the two variables?Explanation / Answer
a)
Covariance is related to the relationship between two variables. Here, covariance is - 150 which depicts negative relationship between two variables. In other words, when one variable moves in certain direction , other variable moves in opposite to direction of first variable.
b)
Correlation coefficeint = Covariance X,Y / Sx.Sy
= 150 / 16*12
= - 0.78
Hence, correlation coefficient is - 0.78 which is negative. value of correlation coefficient tends to fall between - 1 and 1. - 1 indicates strong negative correlation coefficient.
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