3.8 In a study designed to determine price sensitivity of the sales of Brand X, the following data were collected: Price per Unit (P) ($) Sales (S) ($ mil.) 5.1 1.25 5.0 1.30 5.0 1.35 4.8 1.40 4.2 1.50 4.0 1.55 (a) Reconstruct the data by mean correction; (b) Represent the data in subject space, i.e.,

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3.8 In a study designed to determine price sensitivity of the sales of Brand X, the following
data were collected:
Sales (S)
($ mil.)
Price per Unit (P)
($)
5.1
1.25
5.0
1.30
5.0
1.35
4.8
1.40
4.2
1.50
4.0
1.55
(a) Reconstruct the data by mean correction; (b) Represent the data in subject space, i.e.,
find the vectors s and p; (c) Compute the lengths of s and p: (d) Compute the sum of cross
products (SCP) for the variables S and P; (e) Compute the correlation between S and P;
and (f) Repeat steps (a) through (e) using matrix operation in PROC IML of SAS.
Transcribed Image Text:3.8 In a study designed to determine price sensitivity of the sales of Brand X, the following data were collected: Sales (S) ($ mil.) Price per Unit (P) ($) 5.1 1.25 5.0 1.30 5.0 1.35 4.8 1.40 4.2 1.50 4.0 1.55 (a) Reconstruct the data by mean correction; (b) Represent the data in subject space, i.e., find the vectors s and p; (c) Compute the lengths of s and p: (d) Compute the sum of cross products (SCP) for the variables S and P; (e) Compute the correlation between S and P; and (f) Repeat steps (a) through (e) using matrix operation in PROC IML of SAS.
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