X₁ SALES of similar package last year X₂ = DAYS on holiday X3 = ACCOM type B'B, Hotel and Self cater X4 = NUMBER of people booked for Ŷ = FAMP ( 1 = buying family package and 0 = not buying a package) 4.2. The data was modelled with a logistic regression function and SAS provided the maximum likelihood estimates, some of which are the following: b₁ = -0.073 and b3 = 0.05 Find the odds ratio for b₁ and b3 and give an interpretation of each.

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4. A sales consultant realises that prospective buyers of holiday packages mostly want family
packages. In a small study of 150 similar packages, he recorded the last year's sales, considering
the duration of the holiday, number of people, and type of accommodation. A partial data set is
given below.
Table: Family package
Famp (target)
0
1
1
0
Sales
(in
R1000.00)
13
4
3
8
Duration in
days
15
20
10
10
1
Accomtype Number of
people
Bed 'n
Breakfast
Hotel
Selfcater
Hotel
7
5
10
12
The data of SALE was derived by using the following coding scheme
X₁ = SALES of similar package last year
X₂ = DAYS on holiday
X3 = ACCOM type B'B, Hotel and Selfcat
X4 = NUMBER of people booked for
Ŷ = FAMP (1 = buying family package and 0 = not buying a package)
4.2. The data was modelled with a logistic regression function and SAS provided the maximum
likelihood estimates, some of which are the following: b₁ = -0.073 and b3 = 0.05
Find the odds ratio for b₁ and b3 and give an interpretation of each.
Transcribed Image Text:4. A sales consultant realises that prospective buyers of holiday packages mostly want family packages. In a small study of 150 similar packages, he recorded the last year's sales, considering the duration of the holiday, number of people, and type of accommodation. A partial data set is given below. Table: Family package Famp (target) 0 1 1 0 Sales (in R1000.00) 13 4 3 8 Duration in days 15 20 10 10 1 Accomtype Number of people Bed 'n Breakfast Hotel Selfcater Hotel 7 5 10 12 The data of SALE was derived by using the following coding scheme X₁ = SALES of similar package last year X₂ = DAYS on holiday X3 = ACCOM type B'B, Hotel and Selfcat X4 = NUMBER of people booked for Ŷ = FAMP (1 = buying family package and 0 = not buying a package) 4.2. The data was modelled with a logistic regression function and SAS provided the maximum likelihood estimates, some of which are the following: b₁ = -0.073 and b3 = 0.05 Find the odds ratio for b₁ and b3 and give an interpretation of each.
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