What is B0,B1, B2,B3

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What is B0,B1, B2,B3

Do consumers react favorably to products with ambiguous colors or names? Marketing
researchers investigated this phenomenon in the Journal of Consumer Research (June
2005). As a "reward" for participating in an unrelated experiment, 100 consumers were
told they could have some jelly beans available in several cups on a table. Some
consumers were offered jelly beans with common descriptive flavor names (e.g., water-
melon green), while the others were offered jelly beans with ambiguous flavor names
(e.g., monster green). Also, some of the consumers took the jelly beans and immediately
left (low cognitive load condition), while others were peppered with additional questions
designed to distract them while they were taking their jelly beans (high cognitive load
condition). The researchers modeled the number (y) of jelly beans taken by each
consumer as a function of two qualitative variables: Flavor Name (common or
ambiguous) and Cognitive Load (low or high). The sample mean, y , for each of the four
combinations of the qualitative variables is shown in the accompanying table.
AMBIGUOUS
COMMON
Low
18.0
7.8
Load
High
6.1
6.3
Load
Source: Miller, E. G., & Kahn, B. E. "Shades of meaning: The effect of color and flavor
names on consumer choice," Journal of Consumer Research, Vol. 32, June 2005 (Table 1).
An interaction model for E(y) as a function of Flavor Name and Cognitive Load is studied
E(y) = f0+ B1x1+ B2x2 + B3x1x2,
%3D
where
if ambiguous
1
if high
1
X1 =
0.
x2 =
0.
and
if common
if low
Use the information in the table to estimate the B 's in the interaction model.
1. Po =
18.0
2. P1 = 7.8
%3D
3. B2 = 6.1
4. B3 =6.3
Transcribed Image Text:Do consumers react favorably to products with ambiguous colors or names? Marketing researchers investigated this phenomenon in the Journal of Consumer Research (June 2005). As a "reward" for participating in an unrelated experiment, 100 consumers were told they could have some jelly beans available in several cups on a table. Some consumers were offered jelly beans with common descriptive flavor names (e.g., water- melon green), while the others were offered jelly beans with ambiguous flavor names (e.g., monster green). Also, some of the consumers took the jelly beans and immediately left (low cognitive load condition), while others were peppered with additional questions designed to distract them while they were taking their jelly beans (high cognitive load condition). The researchers modeled the number (y) of jelly beans taken by each consumer as a function of two qualitative variables: Flavor Name (common or ambiguous) and Cognitive Load (low or high). The sample mean, y , for each of the four combinations of the qualitative variables is shown in the accompanying table. AMBIGUOUS COMMON Low 18.0 7.8 Load High 6.1 6.3 Load Source: Miller, E. G., & Kahn, B. E. "Shades of meaning: The effect of color and flavor names on consumer choice," Journal of Consumer Research, Vol. 32, June 2005 (Table 1). An interaction model for E(y) as a function of Flavor Name and Cognitive Load is studied E(y) = f0+ B1x1+ B2x2 + B3x1x2, %3D where if ambiguous 1 if high 1 X1 = 0. x2 = 0. and if common if low Use the information in the table to estimate the B 's in the interaction model. 1. Po = 18.0 2. P1 = 7.8 %3D 3. B2 = 6.1 4. B3 =6.3
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