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Quality of Bordeaux wine. Refer to the Economic Journal (May 2008) study of the factors that yield a quality Bordeaux wine, Exercise 27. In addition to grape-picking method (manual or automated) and soil type (clay, gravel, or sand), slope orientation (east, south, west, southeast, or southwest) was also used to model wine quality (y).
(a) Write a complete model for E(y) as a function of the three qualitative independent variables.
(b) Interpret the value of β0 in the model.
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Order Paper Now(c) In terms of the β’s, what is the mean quality of wine produced from grapes picked manually from clay soil with an east slope orientation?
(d) In terms of the β’s, what is the difference between the mean quality of wine produced from grapes picked manually and grapes picked with an automated method when the soil type is sand with a southwest slope orientation?
 (e) For any slope orientation, assume that the difference between the mean quality of wine produced from grapes picked manually and grapes picked with an automated method is the same for clay, gravel, or sand soil. Under this assumption, which β’s in the model will equal 0?
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