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Suppose that an appliance manufacturer is pre-testing a new make of fridge on atest market of 10 respondents. Each of the respondent is asked to

Suppose that an appliance manufacturer is pre-testing a new make of fridge on atest market of 10 respondents. Each of the respondent is asked to rate the newfridge on three attributes: durability (X1), performance (X2), and style (X3), all ona 1 (terrible) to 10 (superb) scale. In addition, each respondent is asked whetheror not they would buy the fridge if it appeared on the market. The followingmodel estimates a linear discriminant model using X2 and X3. Which one of thefollowing is the discriminant function?

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> x2x3=1da (Decision~X2+X3 , data=hairexample) > formula=Decision~X2+X3 > data=hairexample > x2x3 Call : 1da (Decision ~ X2 + X3, data = hairexample) Prior probabilities of groups: 0. 5 0.5 Group means: X2 X3 0 4.4 3.8 1 6.8 4.0Coefficients of linear discriminants: LD1 X2 0. 534627819 X3 -0. 001246219 > coefficients (formula, data , 2) LD1 Constant -2.989055533 X2 0. 534627819 X3 -0. 001246219 O A. Z1=4.4 X2 - 3.8 X 3 O B. 21 =0.535 X2 - 0.001 X3 O c. Z1=0.535 X2 - 0.001 X3 -2.989 O D. Z1= 0.535 X, -0.001 X -2.989

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