Calculating Moments of a Distribution and Analyzing Results Quiz

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4 Questions

Find the rank correlation coefficient for the given data: x 48 60 72 62 56 40 39 52 30 y 62 78 65 70 38 54 60 32 31

-0.488

From the data x 1 4 2 3 5 and y 3 1 2 5 4, find the regression line equations and the coefficient of correlation.

Regression line equations: x = 2.6 + 0.8y, y = 2.2 + 0.6x; Coefficient of correlation: 0.6

Determine the mean of x and y, and the correlation coefficient between x and y from the regression equations x = 19.13 – 0.87y, y = 11.64 – 0.50x.

Mean of x: 10.98, Mean of y: 5.78, Correlation coefficient: -1

Calculate the estimation of x when y = 70 from the data X 65 66 67 67 68 69 70 72 Y 67 68 65 68 72 72 69 71.

x = 68.375

This quiz involves computing the first four moments about the mean of a distribution based on given data of workers' wages. It also requires finding the mean, variance, skewness, and kurtosis of the distribution, and analyzing the results obtained. Test your understanding of moments and statistical measures!

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