Question

A potato chip manufacturer wants to produce bags that open easily, without tearing the inner lining of the bag. In an attempt to reduce tears, the manufacturer adjusts the width of a bag's seal, either increasing or decreasing seal width by some number of millimeters. The manufacturer produces 19 different bags and measures the degree to which each bag tears (in millimeters). A statistician at the company then estimates the following regression equation. Question 4 [30 Points] -b+m Change in Width of Seal Length of Tear Partial regression results are shown below. 10.98 17.83 28.81 Regression Residual Total 17 18 Regression Standard Error 0.23 0.15 Coefficients 0.75 0.50 Intercept Write the equation of the regression line. [3 points] a. b. Calculate the standard error around this regression line, Sxy. [4 points] Despite our best guess of the regression line (listed in part a), the true regression line may actually be somewhat different. Why? [4 points] c. d. Suppose α + β * Change in width of Seal represents the true regression Length of Tear line. Conduct a t-test to determine whether the slope of the true regression line (B) differs from Use a significance level of 5%. Be sure to state your hypotheses, test statistic, degrees of freedom, critical value(s), and conclusions. [10 points]

Answer 1

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