Nonparamatric Statistics Sample Assignment

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Nonparamatric Statistics Sample Assignment

Questions: - How strong is the correlation between crude oil prices and prices of gasoline at the pump? In an effort to estimate this association, an oil company analyst gathered the data shown over a period of several months. She lets crude oil prices be represented by the market value of a barrel of West Texas intermediate crude and gasoline prices be the estimated average price of regular unleaded gasoline in a certain city. She computes a Spearman’s rank correlation for these data.

Curde Oil              Gasoline
$14.60                  $3.25
10.50                    3.26
12.30                    3.28
15.10                    3.26
18.35                    3.32
22.60                    3.44
28.90                    3.56
31.40                    3.60
26.75                    3.54

Solutions: -
Here, n = 9. When the analyst ranks the values within each group and computes the values of d and d2, she obtains the following.
Curde Oil          Gasoline        d            d2
$14.60                  $3.25        +2            4
10.50                    3.26        -1.5       2.25
12.30                    3.28           -2            4
15.10                    3.26       +1.5      2.25
18.35                    3.32            0            0
22.60                    3.44            0            0
28.90                    3.56            0            0
31.40                    3.60            0            0
26.75                    3.54            0            0
_____________________∑d2 = 12.5

Non Parametric

A high positive correlation is computed between the price of a barrel of West Texas intermediate crude and a gallon of regular unleaded gasoline.

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