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3. A response Y is a fujlction of three independent variables 331,322, and 273 that are related as follows: Y = 5.0 + 51371 +

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3. A response Y is a fujlction of three independent variables 331,322, and 273 that are related as follows: Y = 5.0 + 51371 + @332 + 133%- + E- (a) Fit this model to the n = 7 data points shown in the accompanying table. 221 332- $3 -3 5 -1 I H l CAD H (b) Predict Y when 1171 = 1, 332 = 3, 2:3 2 1. Compare the result with the observed data in row 5 of the table. Why are these vaiues not equal? (c) Do the data present sufcient evidence to indicate that 1133- contributes information for the prediction "of Y? Test the hypothesis Ho : ,83 = 0, Using 0: = 0.05.)

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