The pull strength of a wire bond is an importantcharacteristic. The data gives i
ID: 2914545 • Letter: T
Question
The pull strength of a wire bond is an importantcharacteristic. The data gives information on pull strength(y), die height (x1), post height (x2), loopheight (x3), wire length (x4), bond width onthe die (x5), and bond width on the post(x6).
a) Analyze this data to find whichlinear model is the best fit for this data (give details on how youdecided which model is best.
b) Report the amount of variationexplained by the model you chose in part a).
c) Report your estimate ofs2
d) Find a 97% Confidence interval for eachof the bj’s in your model, and interpret.
e) Holding all else fixed, how does aunit change in x4 change the average value of y?
f) For a specimen withx1 = 5.5, x2 = 19.3, x3 = 30.2,x4 = 90, x5 = 2, and x6 =1.85 findthe predicted value of y (hint: you may not need all of thesevalues since you may not include all of these variables in youmodel).
pullStrength dieHeight postHeight loopHeight wireLength bondDie bondPost 8 5.2 19.6 29.6 94.9 2.1 2.3 8.3 5.2 19.8 32.4 89.7 2.1 1.8 8.5 5.8 19.6 31 96.2 2 2 8.8 6.4 19.4 32.4 95.6 2.2 2.1 9 5.8 18.6 28.6 86.5 2 1.8 9.3 5.2 18.8 30.6 84.5 2.1 2.1 9.3 5.6 20.4 32.4 88.8 2.2 1.9 9.5 6 19 32.6 85.7 2.1 1.9 9.8 5.2 20.8 32.2 93.6 2.3 2.1 10 5.8 19.9 31.8 86 2.1 1.8 10.3 6.4 18 32.6 87.1 2 1.6 10.5 6 20.6 33.4 93.1 2.1 2.1 10.8 6.2 20.2 31.8 83.4 2.2 2.1 11 6.2 20.2 32.4 94.5 2.1 1.9 11.3 6.2 19.2 31.4 83.4 1.9 1.8 11.5 5.6 17 33.2 85.2 2.1 2.1 11.8 6 19.8 35.4 84.1 2 1.8 12.3 5.8 18.8 34 86.9 2.1 1.8 12.5 5.6 18.6 34.2 83 1.9 2Explanation / Answer
By using statistical package we get the followingoutput. We observe that Is their any multicollinearity persent in thedata.By checking correlation matrix, their is no dependencewith the independent variables. And also observe scatter matrix polt to know that how they arescatter with the variables. The linear model for this variables pull Strength =3.14 + 0.644 die height - 0.010 post height + 0.505 loop height- 0.120 wire length - 2.46 bond width die + 1.50 BDpost Here the amount of variation that can be explained by the datais 71.1% estimate os S2 = 0.7994 Holding all else fixed, how does a unit change inx4 change the average value of y That is the coefficent of x4 is -0.120 and lastly the prediction value for the new observationsis 8.810 Holding all else fixed, how does a unit change inx4 change the average value of y That is the coefficent of x4 is -0.120 and lastly the prediction value for the new observationsis 8.810
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