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Question

i could not edit my question , however ,in part (ii) the answer is based on the answer of (i)
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QUESTION 3 Table 2 contains data that was collect in a semiconductor (wire bonded to a frame) manufacturing plant The reported variables are the wire length, x and pull strength, y (force required to break the bond) Table 2: Wire Bond Pull strength Data Pull Strength, y Wire Length, x Observation (Newton) (meter) Number 9.95 24.45 16.86 14.38 24.35 27.50 41.95 (i) Develop a second order splines function of the data points in Table 2 for 8 S x S 12 (11 Marks) (ii) Estimate the pull strength if the wire length is 11.5 meter. (2 Marks)

Explanation / Answer

Regression Analysis: pull strength versus meter

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
Regression 1 357.6 357.58 5.81 0.061
meter 1 357.6 357.58 5.81 0.061
Error 5 307.7 61.53
Total 6 665.2

Model Summary

S R-sq R-sq(adj) R-sq(pred)
7.84418 53.75% 44.50% 0.92%

Coefficients

Term Coef SE Coef T-Value P-Value VIF
Constant 7.79 6.89 1.13 0.310
meter 1.692 0.702 2.41 0.061 1.00

Regression Equation

pull strength = 7.79 + 1.692 meter

for 8<x<12

————— 6/11/2017 7:58:57 AM ————————————————————

Regression Analysis: pull strength versus meter

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
Regression 1 70.62 70.62 3.24 0.214
meter 1 70.62 70.62 3.24 0.214
Error 2 43.61 21.81
Total 3 114.23

Model Summary

S R-sq R-sq(adj) R-sq(pred)
4.66974 61.82% 42.73% 0.00%

Coefficients

Term Coef SE Coef T-Value P-Value VIF
Constant -8.3 16.3 -0.51 0.660
meter 2.84 1.58 1.80 0.214 1.00

Regression Equation

pull strength = -8.3 + 2.84 meter

   length =11.5

pull strength=24.36n

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