ment 5 CH16-17 Question 3 (of 12) 10.00 points (Round all intermediate calculati

Question

ment 5 CH16-17 Question 3 (of 12) 10.00 points (Round all intermediate calculations to at least 4 decimal places.) Alead inspector at ElectroTech, an electronics assembly shop, wants to convince management that it takes longer, on a per-component basis, to inspect large devices with many components than it does to inspect small devices because it is difficult to keep track of which components have already been inspected. To prove her point, she has collected data from the last 25 devices. The data are shown in the accompanying table. Number of Components Inspection Time (seconds) on Device 49 31 17 51 14 41 41 23 43 18 13 48 18 18 18 72 101 59 45 Click here for the Excel Data Elle

Explanation / Answer

a) Correct Answer: Option (A)

b-1) Linear model: 0.9106

Regression Analysis: Inspection Time versus Components

The regression equation is
Inspection Time = 18.85 + 2.053 Components

S = 6.41675 R-Sq = 91.1% R-Sq(adj) = 90.7%

Analysis of Variance

Source DF SS MS F P
Regression 1 9651.0 9650.98 234.39 0.000
Error 23 947.0 41.17
Total 24 10598.0

Quadratic model: 0.9572

Polynomial Regression Analysis: Inspection Time versus Components

The regression equation is
Inspection Time = - 0.540 + 4.034 Components - 0.04024 Components**2

S = 4.54185 R-Sq = 95.7% R-Sq(adj) = 95.3%

Analysis of Variance

Source DF SS MS F P
Regression 2 10144.2 5072.09 245.88 0.000
Error 22 453.8 20.63
Total 24 10598.0

Cubic Model: 0.9614

Polynomial Regression Analysis: Inspection Time versus Components

The regression equation is
Inspection Time = - 12.83 + 6.047 Components - 0.1337 Components**2
+ 0.001248 Components**3

S = 4.41552 R-Sq = 96.1% R-Sq(adj) = 95.6%

Analysis of Variance

Source DF SS MS F P
Regression 3 10188.6 3396.19 174.19 0.000
Error 21 409.4 19.50
Total 24 10598.0

b-2) Correct Ansewer : Cubic

Since r-square value of Cubic is higher than that of remaining Linear model, Quadratic model

c) Given G = 40

The regression equation is
Inspection Time = - 12.83 + 6.047(40) - 0.1337(40)**2 - 0.001248 (40)**3 =-64.742

Regression Analysis: Inspection Time versus Components

The regression equation is
Inspection Time = 18.85 + 2.053 Components

S = 6.41675 R-Sq = 91.1% R-Sq(adj) = 90.7%

Analysis of Variance

Source DF SS MS F P
Regression 1 9651.0 9650.98 234.39 0.000
Error 23 947.0 41.17
Total 24 10598.0

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