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The tensile strength of a synthetic fiber is affected by drying time (x1), drying temperature (x2), and the percentage of cotton in the fiber (x3). The following table shows the data. y 213 220 216 234 X₁ 2.0 2.3 2.3 2.5 X₂ 145 140 140 146 X3 13 15 15 18

The tensile strength of a synthetic fiber is affected by drying time (x1), drying temperature (x2), and the percentage of cotton in the fiber (x3). The following table shows the data. y 213 220 216 234 X₁ 2.0 2.3 2.3 2.5 X₂ 145 140 140 146 X3 13 15 15 18

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The tensile strength of a synthetic fiber is affected by drying time (x1), drying temperature (x2), and the percentage of cotton in the fiber (x3). The following table shows the data. y 213 220 216 234 230 235 238 230 236 231 243 X₁ 2.0 2.3 2.3 2.5 3.0 3.4 3.4 3.4 4.0 4.0 4.1 Find: a) mathematical model b) estimate the variance X₂ 145 140 140 146 138 135 135 135 141 141 145 X3 13 15 15 18 20 19 19 19 16 16 17 c) confidence interval for beta 2 and alpha 0.05 d) test the significance of the regression.
Transcribed Image Text:The tensile strength of a synthetic fiber is affected by drying time (x1), drying temperature (x2), and the percentage of cotton in the fiber (x3). The following table shows the data. y 213 220 216 234 230 235 238 230 236 231 243 X₁ 2.0 2.3 2.3 2.5 3.0 3.4 3.4 3.4 4.0 4.0 4.1 Find: a) mathematical model b) estimate the variance X₂ 145 140 140 146 138 135 135 135 141 141 145 X3 13 15 15 18 20 19 19 19 16 16 17 c) confidence interval for beta 2 and alpha 0.05 d) test the significance of the regression.
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