(c) Use the least squares method to develop the estimated regression equation. シ= (d) Predict the number of defective parts found for a line speed of 45 feet per minute.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.4: Solving Quadratic Equations By Factoring
Problem 2GP
icon
Related questions
icon
Concept explainers
Question

Help with part C & D

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.
Number of
Line
Defective
Speed
Parts Found
20
24
20
22
30
18
30
15
40
14
40
16
50
15
50
12
(a) Develop a scatter diagram with the line speed as the independent variable.
25
25 T
25
:
20
20
15
15
10
10
10
20
30
40
50
60
10
20
30
40
50
60
10
20
30
40
50
60
Line Speed (feet per minute)
Line Speed (feet per minute)
Line Speed (feet per minute)
Number of Defective Parts
20
Number of Defective Parts
Number of Defective Parts
Transcribed Image Text: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. Number of Line Defective Speed Parts Found 20 24 20 22 30 18 30 15 40 14 40 16 50 15 50 12 (a) Develop a scatter diagram with the line speed as the independent variable. 25 25 T 25 : 20 20 15 15 10 10 10 20 30 40 50 60 10 20 30 40 50 60 10 20 30 40 50 60 Line Speed (feet per minute) Line Speed (feet per minute) Line Speed (feet per minute) Number of Defective Parts 20 Number of Defective Parts Number of Defective Parts
25 T
20
15
:
10
5
10
20
30
40
50
60
Line Speed (feet per minute)
(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.
(c) Use the least squares method to develop the estimated regression equation.
(d) Predict the number of defective parts found for a line speed of 45 feet per minute.
Number of Defective Parts
O O O
Transcribed Image Text:25 T 20 15 : 10 5 10 20 30 40 50 60 Line Speed (feet per minute) (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. (c) Use the least squares method to develop the estimated regression equation. (d) Predict the number of defective parts found for a line speed of 45 feet per minute. Number of Defective Parts O O O
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Points, Lines and Planes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University