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A random sample of recent repair jobs was selected and estimated cost, actual cost were recorded. - Business Mathematics and Statistics

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प्रश्न

A random sample of recent repair jobs was selected and estimated cost, actual cost were recorded.

Estimated cost 30 45 80 25 50 97 47 40
Actual cost 27 48 73 29 63 87 39 45

Calculate the value of spearman’s correlation.

बेरीज

उत्तर

Estimated cost (X) Actual cost (Y) RX RY d = RX − RY d2
30 27 2 1 1 1
45 48 4 5 − 1 1
80 73 7 7 0 0
25 29 1 2 − 1 1
50 63 6 6 0 0
97 87 8 8 0 0
47 39 5 3 2 4
40 45 3 4 − 1 1
          ∑d2 = 8

Spearman’s Rank correlation coefficient

ρ = `1 - (6sum"d"^2)/("N"("N"^2 - 1))`

= `1 - (6(8))/(8(8^2 - 1))`

= `1 - 6/63`

= 1 − 0.095

ρ = 0.905

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पाठ 9: Correlation and Regression Analysis - Miscellaneous Problems [पृष्ठ २३०]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
पाठ 9 Correlation and Regression Analysis
Miscellaneous Problems | Q 5 | पृष्ठ २३०

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