(d) Identify and interpret a 95% confidence interval for the mean demand and prediction in- terval for an individual demand when x4 = .20, x3 = 6.5, adver = C.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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(d) Identify and interpret a 95% confidence interval for the mean demand and prediction in-
terval for an individual demand when x4 = .20, x3 = 6.5, adver = C.
Transcribed Image Text:(d) Identify and interpret a 95% confidence interval for the mean demand and prediction in- terval for an individual demand when x4 = .20, x3 = 6.5, adver = C.
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A
3.80
3.85
3.90
3.90
3.70
3.75
3.75
3.80
3.70
3.80
3.70
3.80
3.80
3.75
3.70
3.55
3.60
3.65
3.70
3.75
3.80
3.70
B
3.65
4.00
4.10
4.00
4.10
4.20
4.10
4.10
4.20
4.30
4.10
3.75
3.75
3.65
3.90
3.65
4.10
4.25
3.65
3.75
3.85
4.25
с
5.25
6.00
6.50
6.25
7.00
6.90
6.80
6.80
7.10
7.00
6.80
6.50
6.25
6.00
6.50
7.00
6.80
6.80
6.50
5.75
5.80
6.80
D
-0.15
0.15
0.20
0.10
0.40
0.45
0.35
0.30
0.50
0.50
0.40
-0.05
-0.05
-0.10
0.20
0.10
0.50
0.60
-0.05
0.00
0.05
0.55
E
7.10 B
8.00 C
7.89 A
8.15 C
9.10 C
8.86 A
8.90 B
8.87 B
9.26 B
9.00 A
8.75 B
7.95 B
7.65 C
7.27 A
8.00 A
8.50 A
8.75 A
9.21 B
8.27 C
7.67 B
7.93 C
9.26 C
F
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0
1
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0
1
0
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0
1
0
0
0
1
1
1
1
0
0
0
0
0
H
1
0
0
0
0
0
1
1
1
0
1
1
0
0
0
0
0
1
0
1
0
0
0
1
0
10
1
0
0
0
0
0
0
0
10
1
0
0
0
0
0
1
0
1
1
M
N
P
Q
R
y
demand for the large bottle of Fresh in the sales period(Demand)
#1 = the price of product 1
x2 = the price of product 2
x3 = the advertising expenditure for Fresh
*4 = the price difference in the sales period
Adver = types of advertising campaigns
S
Campaign A consists entirely of television commercials, campaign B consists of a balanced
mixture of television and radio commercials, and campaign C consists of a balanced mixture of
television, radio, newspaper, an dmagazine ads. To ultimately increase the demand for Fresh,
Enterprise Industries' marketing department is comparing the effectiveness of three different
advertising campaigns. To compare the effectiveness of advertising campaigns A, B, and C, we
define two dummy variables. Specifically, DB is 1 if campaign B is used and 0 otherwise, Dc is
1 if campaign C is used and 0 otherwise. Our proposed model is
y = Bo + B₁x4 + B₂x3 + B3x3 + B4X4X3 + B5DB + B6Dc
O
O
Transcribed Image Text:10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 A 3.80 3.85 3.90 3.90 3.70 3.75 3.75 3.80 3.70 3.80 3.70 3.80 3.80 3.75 3.70 3.55 3.60 3.65 3.70 3.75 3.80 3.70 B 3.65 4.00 4.10 4.00 4.10 4.20 4.10 4.10 4.20 4.30 4.10 3.75 3.75 3.65 3.90 3.65 4.10 4.25 3.65 3.75 3.85 4.25 с 5.25 6.00 6.50 6.25 7.00 6.90 6.80 6.80 7.10 7.00 6.80 6.50 6.25 6.00 6.50 7.00 6.80 6.80 6.50 5.75 5.80 6.80 D -0.15 0.15 0.20 0.10 0.40 0.45 0.35 0.30 0.50 0.50 0.40 -0.05 -0.05 -0.10 0.20 0.10 0.50 0.60 -0.05 0.00 0.05 0.55 E 7.10 B 8.00 C 7.89 A 8.15 C 9.10 C 8.86 A 8.90 B 8.87 B 9.26 B 9.00 A 8.75 B 7.95 B 7.65 C 7.27 A 8.00 A 8.50 A 8.75 A 9.21 B 8.27 C 7.67 B 7.93 C 9.26 C F G 0 0 1 0 0 1 0 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0 H 1 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 1 0 0 0 1 0 10 1 0 0 0 0 0 0 0 10 1 0 0 0 0 0 1 0 1 1 M N P Q R y demand for the large bottle of Fresh in the sales period(Demand) #1 = the price of product 1 x2 = the price of product 2 x3 = the advertising expenditure for Fresh *4 = the price difference in the sales period Adver = types of advertising campaigns S Campaign A consists entirely of television commercials, campaign B consists of a balanced mixture of television and radio commercials, and campaign C consists of a balanced mixture of television, radio, newspaper, an dmagazine ads. To ultimately increase the demand for Fresh, Enterprise Industries' marketing department is comparing the effectiveness of three different advertising campaigns. To compare the effectiveness of advertising campaigns A, B, and C, we define two dummy variables. Specifically, DB is 1 if campaign B is used and 0 otherwise, Dc is 1 if campaign C is used and 0 otherwise. Our proposed model is y = Bo + B₁x4 + B₂x3 + B3x3 + B4X4X3 + B5DB + B6Dc O O
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