Q2 The following data is the pull strength of a wire bond in a semiconductor manufacturing process, wire length, and die height. Observation number Pull strength (Y) Wire length (X1) Die Height (X2) 1 9.95 2 50 24.45 110 3 31.75 11 120 4 35.00 10 550 5 25.02 295 6. 16.86 4 200 7 14. 375 8. 9.60 52 24.35 9. 100 10 27.50 8 300 a i) Fit a regression line using pull strength as Y and wire length as X. Use calculator to find the a and b to do so. ii) Find the coefficient of correlation in this regression model. Interpret its meaning. iii) Find the coefficient of determination in this regression model. Interpret its meaning. b) Now the rescarcher wanted to include one more variable, Die Height, in the regression model. Thus he obtaincd the following Excel output using both wire length and die height as independent variables: SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square 0.994525658 0.989081284 Standard Error 1.043637866 Observations 10 ANOVA of MS Significonce F Regression 2 690.65018 Residual 7.624259961 Total 698.27444 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 4.544350574 0.774648328 Wire length (X1) 2.215835576 0.101913929 Die Height (XQ) 0.014685417 0.002211316
Q2 The following data is the pull strength of a wire bond in a semiconductor manufacturing process, wire length, and die height. Observation number Pull strength (Y) Wire length (X1) Die Height (X2) 1 9.95 2 50 24.45 110 3 31.75 11 120 4 35.00 10 550 5 25.02 295 6. 16.86 4 200 7 14. 375 8. 9.60 52 24.35 9. 100 10 27.50 8 300 a i) Fit a regression line using pull strength as Y and wire length as X. Use calculator to find the a and b to do so. ii) Find the coefficient of correlation in this regression model. Interpret its meaning. iii) Find the coefficient of determination in this regression model. Interpret its meaning. b) Now the rescarcher wanted to include one more variable, Die Height, in the regression model. Thus he obtaincd the following Excel output using both wire length and die height as independent variables: SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square 0.994525658 0.989081284 Standard Error 1.043637866 Observations 10 ANOVA of MS Significonce F Regression 2 690.65018 Residual 7.624259961 Total 698.27444 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 4.544350574 0.774648328 Wire length (X1) 2.215835576 0.101913929 Die Height (XQ) 0.014685417 0.002211316
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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