Question
. Wrinkle recovery angle and tensile strength are the two most important characteristics for evaluating the performance of crosslinked cotton fabric. An increase in the
. Wrinkle recovery angle and tensile strength are the two most important characteristics for evaluating the performance of crosslinked cotton fabric. An increase in the degree of crosslinking, as determined by ester carboxyl band absorbance, improves the wrinkle resistance of the fabric (at the expense of reducing mechanical strength). The accompanying data onx= absorbanceandy= wrinkleresistance angle was read from a graph in the paper "Predicting the Performance of Durable Press Finished Cotton Fabric with Infrared Spectroscopy".
x 0.115 0.126 0.183 0.246 0.282 0.344 0.355 0.452 0.491 0.554 0.651
y 334 342 355 363 365 372 381 392 400 412 420
Here is regression output from Minitab:
Predictor Coef SE Coef T P
Constant 321.878 2.483 129.64 0.000
absorb 156.711 6.464 24.24 0.000
S = 3.60498R-Sq = 98.5%R-Sq(adj) = 98.3%
SOURCE DF SS MS F P
Regression 1 7639.0 7639.0 587.81 0.000
Residual Error 9 117.0 13.0
Total 10 7756.0
a. What wrinkle resistance angle would you predict for a fabric specimen having an absorbance of0.295? (Round your answer to two decimal places.)
b. What would be the estimate of the expected wrinkle resistance angle when absorbance is0.295? (Round your answer to two decimal places.)
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