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    Regression & Residual Analysis

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    An experiment was carried out to assess the impact of the variables x1 = force(gm), X2 = power (mW), x3 = temperature (C) and x4 = time (msec) on y = ball bond shear strength (gm). The results are given in the problem 5 Excel data file.
    a. Perform a complete analysis.
    b. Perform a complete residual analysis.
    c. Check for collinearity problems.

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    Statistics
    An experiment was carried out to assess the impact of the variables x1 = force(gm), X2 = power (mW), x3 = temperature (C) and x4 = time (msec) on y = ball bond shear strength (gm). The results are given in the problem 5 Excel data file.
    Answers
    a. Perform a complete analysis.
    The estimated regression equation is given by,
    Strength = -28.99 + 0.2117 * Force + 0.4983 * Power + 0.0811 * Temp + 0.326 * Time
    The regression coefficients can be interpreted as follows:
    For a unit increase in Force, strength increases by 0.2117 units.
    For a unit increase in Power, strength increases by 0.4983 units.
    For a unit increase in Temperature, strength increases by 0.0811 units.
    For a unit increase in Time, strength increases by 0.326 units.
    The significance of regression coefficients are tested using student's t test.
    Here the only explanatory variable that is significant is the Power, since the p-value is significant. That is, Power has a significant effect on Strength. All other explanatory variables are insignificant, since the corresponding ...

    Solution Summary

    The solution provides step by step method for the calculation of regression analysis. Formula for the calculation and Interpretations of the results are also included.

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