# Linear Regression quiz (5)

Linear Regression quiz (5)

The manufacturer wants to know if the density is affected by the cycle time with an error type 1 of 5%

Cycle time (min). (2.13, 1.99,2.11,2.16,2.11,1.89)

Density (2.34,2.59,2.40,2.85,2.04,2.22)

1. Determine the slope of the line

2. Determine the Y intersection

3. Determine the correlation coefficients

4. Conclusion based on the r value,

§ Strong linear relations ship with a positive slope

§ Strong linear relationship with negative slope

§ No linear relationship

§ None

5. Determine the experimental value of F

6. Determine the critical value of F

7. Conclusion based Anova

§ Strong linear relations ship with a positive slope

§ Strong linear relationship with negative slope

§ No linear relationship

§ None

Case 9 Design of Experiment (two K factorial Design)

§ Prepare a two K Factorial Design, Each member of the team needs to collect samples to

§ prepare a 2 by 2 matrix related to the same output variable and determine if the selected independent variables are affecting the depending

Variable

§ Use alpha of the 10% for T test

§ Explain the results a use a program

Case 10: Statistical Process Control (Control Charts Part1)

§ Prepare an X bar and R bar chart

§ Collect samples to prepare five observation each from a process. Determine if the process is in control or not

§ Explain the results a use a program and data tendencies that can be inferred in the report

§ Explain the results as pictures

Case 11: Statistical Process Control (Process Capability)

§ Collect sample to prepare five observation each from a process. Determine if the process is in control or not

§ Explain the results and data tendencies that can be inferred in the report

Case 12: Statistical Process Control (Process Capability)

Conduct a Process Capability Ratio analysis

§ Collect samples to prepare 10 samples from two process

§ Determine which process is more consistent and if both of them are running within specification using Cpk

§ Explain the result and use the program

The manufacturer wants to know if the density is affected by the cycle time with an error type 1 of 5%

Cycle time (min). (2.13, 1.99,2.11,2.16,2.11,1.89)

Density (2.34,2.59,2.40,2.85,2.04,2.22)

1. Determine the slope of the line

2. Determine the Y intersection

3. Determine the correlation coefficients

4. Conclusion based on the r value,

§ Strong linear relations ship with a positive slope

§ Strong linear relationship with negative slope

§ No linear relationship

§ None

5. Determine the experimental value of F

6. Determine the critical value of F

7. Conclusion based Anova

§ Strong linear relations ship with a positive slope

§ Strong linear relationship with negative slope

§ No linear relationship

§ None

Case 9 Design of Experiment (two K factorial Design)

§ Prepare a two K Factorial Design, Each member of the team needs to collect samples to

§ prepare a 2 by 2 matrix related to the same output variable and determine if the selected independent variables are affecting the depending

Variable

§ Use alpha of the 10% for T test

§ Explain the results a use a program

Case 10: Statistical Process Control (Control Charts Part1)

§ Prepare an X bar and R bar chart

§ Collect samples to prepare five observation each from a process. Determine if the process is in control or not

§ Explain the results a use a program and data tendencies that can be inferred in the report

§ Explain the results as pictures

Case 11: Statistical Process Control (Process Capability)

§ Collect sample to prepare five observation each from a process. Determine if the process is in control or not

§ Explain the results and data tendencies that can be inferred in the report

Case 12: Statistical Process Control (Process Capability)

Conduct a Process Capability Ratio analysis

§ Collect samples to prepare 10 samples from two process

§ Determine which process is more consistent and if both of them are running within specification using Cpk

§ Explain the result and use the program

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