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*Use any software in place of Matlab, or write out the logic. The time to comple

ID: 3177013 • Letter: #

Question

*Use any software in place of Matlab, or write out the logic.

The time to complete an assembly task is to be modeled as a linear function of the complexity of the task and the time an assembler has been continuously working. Complexity (x) is measured on a scale from 0 to 100, work time (y) is in hours prior to beginning the timed assembly, and completion time (Z) is in minutes. Use your result from Problem 1 and the following data to determine an equation of the regression plane that predicts the expected completion time.

Explanation / Answer

Result:

Regression Analysis

0.736

Adjusted R²

0.560

n

6

R

0.858

k

2

Std. Error

2.372

Dep. Var.

y

ANOVA table

Source

SS

df

MS

F

p-value

Regression

47.1138

2  

23.5569

4.19

.1355

Residual

16.8862

3  

5.6287

Total

64.0000

5  

Regression output

confidence interval

variables

coefficients

std. error

   t (df=3)

p-value

95% lower

95% upper

Intercept

30.2575

12.7935

2.365

.0989

-10.4572

70.9722

x

-0.6998

0.2880

-2.430

.0934

-1.6164

0.2168

z

7.1856

2.5963

2.768

.0697

-1.0771

15.4484

Estimated regression line

y=30.2575 - 0.6998*x + 7.1856*z

Regression Analysis

0.736

Adjusted R²

0.560

n

6

R

0.858

k

2

Std. Error

2.372

Dep. Var.

y

ANOVA table

Source

SS

df

MS

F

p-value

Regression

47.1138

2  

23.5569

4.19

.1355

Residual

16.8862

3  

5.6287

Total

64.0000

5  

Regression output

confidence interval

variables

coefficients

std. error

   t (df=3)

p-value

95% lower

95% upper

Intercept

30.2575

12.7935

2.365

.0989

-10.4572

70.9722

x

-0.6998

0.2880

-2.430

.0934

-1.6164

0.2168

z

7.1856

2.5963

2.768

.0697

-1.0771

15.4484