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Consider the following set of data. (15, 12), (34, 45), (62, 31), (78, 18), (106, 64),...

Consider the following set of data.

(15, 12), (34, 45), (62, 31), (78, 18), (106, 64), (122, 12)

(a) Calculate the covariance of the set of data. (Give your answer correct to two decimal places.)


(b) Calculate the standard deviation of the six x-values and the standard deviation of the six y-values. (Give your answers correct to three decimal places.)

sx =
sy =


(c) Calculate r, the coefficient of linear correlation, for the data in part (a). (Give your answer correct to two decimal places.)

math   Statistics-And-Probability   
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Answer #1

The correlation coefficient is a statistical measure that calculates the strength of the relationship between the relative movements of the two variables. The range of values for the correlation coefficient bounded by 1.0 on an absolute value basis or between -1.0 to 1.0.

In probability theory and statistics, covariance is a measure of the joint variability of two random variables.

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