Two different tests are designed to measure employee productivity and dexterity.Several employees are randomly selected and tested with these results. $234925532859214221472553265530633467\begin{array} { c | c } \text { Productivity } & \text { Dexterity } \\\hline23 & 49 \\25 & 53 \\28 & 59 \\21 & 42 \\21 & 47 \\25 & 53 \\26 & 55 \\30 & 63 \\34 & 67\end{array}$ 36 75 Compute Spearman's rank correlation.Assume that rank ties will have little influence on your result.

A) 0.159
B) 0.471
C) -0.280
D) 0.997
E) 0.115

Question

Two different tests are designed to measure employee productivity and dexterity.Several employees are randomly selected and tested with these results.

234925532859214221472553265530633467\begin{array} { c | c } \text { Productivity } & \text { Dexterity } \\\hline23 & 49 \\25 & 53 \\28 & 59 \\21 & 42 \\21 & 47 \\25 & 53 \\26 & 55 \\30 & 63 \\34 & 67\end{array}

36 75 Compute Spearman's rank correlation.Assume that rank ties will have little influence on your result.

A) 0.159
B) 0.471
C) -0.280
D) 0.997
E) 0.115

Nikki Holloway · Accepted Answer

Final Answer : D, Explanation :  Spearman's rank correlation coefficient is a measure of the strength and direction of the association between two ranked variables. It is calculated by ranking each set of data, then using the formula to determine the correlation based on the differences in ranks. Given the data, the ranks for both productivity and dexterity increase together consistently, indicating a very strong positive correlation. The correct answer is therefore the one closest to 1, which is 0.997.

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