DBC, a manufacturer of high end racing bicycles, is interested in determining the cost associated with the warranty costs on their bicycles. Three cost drivers are believed to be important in explaining the cost of this activity: the speed (ft/min.) of the manufacturing line, the number of defective products produced and the hours of inspection. To determine if this hypothesis is valid, the company's analysts examined the past 3 years of warranty cost data and ran a multiple regression analysis. The following output is obtained: Parameter Intercept Line Speed Number of defects Estimate 3,300 25 50 t-stat 80.00 5.31 2.58 Pr>t .0001 .0033 .0050

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter 6 - Problem 3
DBC, a manufacturer of high end racing bicycles, is interested in determining the cost
associated with the warranty costs on their bicycles. Three cost drivers are believed to be
important in explaining the cost of this activity: the speed (ft/min.) of the manufacturing
line, the number of defective products produced and the hours of inspection. To
determine if this hypothesis is valid, the company's analysts examined the past 3 years of
warranty cost data and ran a multiple regression analysis. The following output is
obtained:
Parameter
Intercept
Line Speed
Number of defects
Inspection hours
R² = 0.88
Observations 250
Questions:
1.
2.
3.
4.
Estimate
3,300
25
50
-15
t-stat
80.00
5.31
2.58
-1.96
Pr>t
.0001
.0033
.0050
.0250
Determine the estimated cost model for DBC's warranty repair cost.
If DBC expects to run their line at 30 ft/ min. and to have 65 defects per week and to
spend 40 hours on inspection, what is their anticipated warranty repair cost?
Is Line Speed positively or negatively correlated with warranty costs? What about
Number of Defects? Inspection hours?
What does R² indicate in this equation? Overall, what is your evaluation of the cost
model at predicting warranty repair activity?
Transcribed Image Text:Chapter 6 - Problem 3 DBC, a manufacturer of high end racing bicycles, is interested in determining the cost associated with the warranty costs on their bicycles. Three cost drivers are believed to be important in explaining the cost of this activity: the speed (ft/min.) of the manufacturing line, the number of defective products produced and the hours of inspection. To determine if this hypothesis is valid, the company's analysts examined the past 3 years of warranty cost data and ran a multiple regression analysis. The following output is obtained: Parameter Intercept Line Speed Number of defects Inspection hours R² = 0.88 Observations 250 Questions: 1. 2. 3. 4. Estimate 3,300 25 50 -15 t-stat 80.00 5.31 2.58 -1.96 Pr>t .0001 .0033 .0050 .0250 Determine the estimated cost model for DBC's warranty repair cost. If DBC expects to run their line at 30 ft/ min. and to have 65 defects per week and to spend 40 hours on inspection, what is their anticipated warranty repair cost? Is Line Speed positively or negatively correlated with warranty costs? What about Number of Defects? Inspection hours? What does R² indicate in this equation? Overall, what is your evaluation of the cost model at predicting warranty repair activity?
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