Probability and Statistics Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection stationdepends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conductedan experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected.Number of Defective Parts2015105LineSpeed02020303040405050Number ofDefectiveParts Found231021(a) Develop a scatter diagram with the line speed as the independent variable.252015141814112030Line Speed (feet per minute)4050602520150●:102030 40Line Speed (feet per minute)50(c) Use the least squares method to develop the estimated regression equation.ŷ =60(d) Predict the number of defective parts found for a line speed of 45 feet per minute.0102030Line Speed (feet per minute)40(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?o There appears to be a positive relationship between line speed (feet per minute) and the number of defective parts.o There appears to be no noticeable relationship between line speed (feet per minute) and the number of defective parts.o There appears to be a negative relationship between line speed (feet per minute) and the number of defective parts.5060G0102030Line Speed (feet per minute)4050604

The regression equation is defined by,

Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. 15 10 Line Speed 3 20 0 20 30 30 40 40 50 50 Number of Defective Parts Found 23 21 20 15 14 (a) Develop a scatter diagram with the line speed as the independent variable. : 18 14 11 10 20 30 40 Line Speed (feet per minute) 50 60 10- 3 0 30 10 20 30 Line Speed (feet per minutes (c) Use the least squares method to develop the estimated regression equation. 9-[ 13 (d) Predict the number of defective parts found for a line speed of 45 feet per minute. 10 34 0 (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? There appears to be a positive relationship between line speed (feet per minute) and the number of defective parts. There appears to be no noticeable relationship between line speed (feet per minute) and the number of defective parts. There appears to be a negative relationship between line speed (feet per minute) and the number of defective parts. 10 20 30 40 Line Speed (feet per minute) 60 @ 20 13 10- 34 0 10 20 30 40 Line Speed (feet per minute) 30 @

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.5: More Area Relationships In The Circle

Problem 30E: At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at...