The production of a chemical compound requires a duration period of 5.5 hours +/- 5 hours speed of 130 rmp +/- 20 rmp to obtain an acceptable product.

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Quiz 6 (Multiple Linear Regression)

 

This is a new paper use for the program

 

 

 

 

 

The production of a chemical compound requires a duration period of 5.5 hours +/- 5 hours speed of 130 rmp +/- 20 rmp to obtain an acceptable product. If we want to know with a 95%confidence level, if these variables affect the production yield, then a multiple linear regression analysis.

 

three columns curing with 5.20,5.30,5.20,5.70,5.60, second column Rpm with 120.00,150.00,110.00,130,00,124,0 and yield 0.90,0.80,0.92, 0.89, 0.87 in the same order

 

 

 

 

    1. Determine the slope of the line for the Curing time

 

    1. Determine the slope of the line for the Rpm

 

    1. Determine the Y intersection

 

    1. Determine the determination coefficient

 

    1. Based on the R2 value what conclusion

 

    1. Determine the Experimental Value of F

 

    1. Determine the critical value of F

 

    1. Based on the ANOVA what conclusion

 

 

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Quiz 7 (design of experimental single factor )

 

The production manager thinks that the humidity is affecting the production rate as it increases. Using an alpha of 5% determine if humidity affects the rate of production













Humidity


40%


50%


60%


70%









100 111 95 105


106 109 82 104


99 104 101 99


103 102 94 110

 

 

 

1.Determine the sum of square for total variation

 

2. Determine the sum of square for the treatment

 

3.Determine the sum of square for the experimental errors

 

4.Determine the experimental F

 

5.Determine the critical value of f

 

6.Based on the ANOVA what conclusion

 

______________________________________________________________________

 

Quiz 8 (desing of experiments (two factor desing)

 

Determine if there is a significant impact on the production rate from the temperature and shift of the process. Use a type 1 error of 5%

 

Shift 1; column 1: 70,125,125. Column two 80,130, 118,. Column three 90,132,124. And shift 2 column 1: 137,140. Column two 141,138, and column three 142,136. This is the order

 

 

 

Temperature

 

70 80 90

 

Shift 1 125 130 132

 

125 118 124

 

137 141 142

 

Shift 2 140 138 136

 

 

 

1. Determine the sum of square for total variation

 

2. Determine the sum of square for the treatment

 

3. Determine the sum of square for the block

 

4. Determine the sum of square for the intersection of block and treatment

 

5. Determine the sum of square for the experimental errors

 

6. Determine the experimental F temperature

 

7. Determine the experimental F Shifts

 

8. Determine the experimental F temperature and Shifts

 

9. Determine the Critical Value of F Temperature

 

10. Determine the critical Value of F Shifts

 

11. Determine the critical value of F Temperature and shifts

 

12. Based on that ANOVA what the conclusion should be taken for temperature

 

Significant impact for the temperature and shifts

 

Significant impact for the temperature

 

No significant of the temperature

 

None of the above

 

13. Based on that ANOVA what the conclusion should be taken for shifts

 

Significant impact for the temperature and shifts

 

Significant impact for the temperature

 

No significant of the temperature

 

None of the above

 

14. Based on that ANOVA what the conclusion should be taken for both

 

Significant impact for the temperature and shifts

 

Significant impact for the temperature

 

No significant of the temperature

 

None of the above




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