The tensile strength of a certain synthetic fiber is

Chapter , Problem 48

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The tensile strength of a certain synthetic fiber is thought to be related to x1, the percentage of cotton in the fiber, and x2, the drying time of the fiber. A test of 10 pieces of fiber produced under different conditions yielded the following results. Y = Tensile x 1 = Percentage x 2 = Drying Strength of Cotton Time 213 13 2.1 220 15 2.3 216 14 2.2 225 18 2.5 235 19 3.2 218 20 2.4 239 22 3.4 243 17 4.1 233 16 4.0 240 18 4.3 (a) Fit a multiple regression equation. (b) Determine a 90 percent confidence interval for the mean tensile strength of a synthetic fiber having 21 percent cotton whose drying time is 3.6.

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