#  x 10 3          #  x 10 2 

PS9 PROBLEM STATEMENT







Strength Tempering Temp












2.75 0.50

The following data shown was drawn from experimental tests concerning the relationship

4.00 1.00

between the time a part remains in the oven during tempering (time is constant)  

5.10 1.50

and the yield strength.   Conduct the appropriate statistical procedures to determine

6.50 2.00

the statically optimum shear strength and soak time.  

 

7.20 2.50

 






 

8.10 3.00

Complete the following assuming an alpha of .05:


 

8.63 3.50

 






 

9.23 4.00

1.  Determine the statically optimum shear strenght and soak time.
 

10.23 4.50

2.  Calculate the predicted strength for each given soak time.
 

10.50 5.00

3.  Determine the error




 

10.65 5.50

4.  Calculate the average yield Strength.


 

10.90 6.00

5.  Determine the difference in Average Strength and each predicted value  

11.00 7.00

6.  Determine the Residual Sum of Squares (show by calculation).
 

10.92 7.50

7.  Determine the Total Sum of Squares.


 

10.82 8.00

8.  Determine the Sum of Squares Regression


 

10.62 8.50

9.  Generate a scatter plot of the origninal data.


 

10.20 9.00

10. Plot the predicted values over the original data.

 

10.00 9.50

11. Write a report describing your findings.


 

10.50 10.00

 






 

11.00 10.50

VARIABLES      


 

11.25 11.00

 


 


 

11.75 11.50

TEMPERING TEMPERATURE IN MINUTES


 

10.70 12.00

YIELD STRENGTH IN
KSI    


 

10.25 12.50

                 
















Strength is in KSI, Temperature is in Degrees F.