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