Question

A coffee company uses a dsta-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that the coffee company needed to improve its package-sealing process, an experiment was conducted to determine the factors in the bag-sealing equipment that might be afectirg the ease of opening the bag without tearing the inner liner of the bag. One factor that could aiect the rating of the ablity of the bag to resist tears was the plate gap on the bag sealing equipment. Data were collected on 10 bags in which the plate gap was varied. Complete parts (a) through (e) Click the icon to view the data table a. Construct a scatter plot. Choose the correct graph below ов. OC. b. Assuming a linear relationship, use the least-squares method to find the regression coefficients b, and D Data Table Round to four decimal places as needed.) e. Intarprat the meaning of the slopa, b in this protliam Chooso the corract answer balow O A For each increase of one in the tear rating. the plate gap is expected to increase by b, units OB. The approximate tear rating when the plate gap is Ounts is bt- C. The appronimate plate gap whan the tear rating isis b, units D. For each one-unit increase in the plate gap, the tear rating is expected to increase by b d. Predict the mean tear rating when the plate gap is equal to 0.83 027 Round to four decimal places as needed.) e. What should you tell management of the cofee company about the relationship between the plate gap and the tear rating? .99 A The tear rating is afected by the plate gap As the plate gap increases, the tear rating increases O B. The tear rating is not affected by the plste gap. OC. As the plate gap increases, the tear rating decreases. The tear ratng is affected by the plare cap D. As the tear rating inoreases, the plate gap decreases. The plate gap is affected by the tear rating. 0.82 Print Done

Answer 1

4.5 4. 3.5 2.5 1.5 0.5 E. 0.5 Plate Gap 0.5 Correct Answer: A

EXCEL output: SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.132348138 0.01751603 0.040277145 1.27317017 19 ANOVA Significance F 1 0.491283328 0.491283 0.303081 0.589118999 MS Regression Residual Total 17 27.55635878 1.620962 18 28.04764211 Coefficients Standard Error tstat P-value Lower 95% Upper 95% 0.8387610340.328239016 2.555336 0.020484 0.146237251 1.531284817 0.3120437540.566807953 0.550528 0.589119 -0.883816483 1.507903991 Intercept plate Gap b 0.8388 b0.3120

D. For each one-unit increase in the plate gap, the tear rating is expected to increase by b 0.8388+0.3120x -0.8388+0.3120(0) -0.8388 The predicted mean tear rating when the plate gap is equal to 0 is 0.8388 B. The tear rating is not affected by the plate gap