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In: Statistics and Probability

QUESTION 8 Use the Manufacturing database from “Excel Databases.xls” on Blackboard. Use Excel to develop a...

QUESTION 8

  1. Use the Manufacturing database from “Excel Databases.xls” on Blackboard. Use Excel to develop a multiple regression model to predict Cost of Materials by Number of Employees, Number of Production Workers, Value Added by Manufacture, New Capital Expenditures, and End-of-Year Inventories. Use Excel to perform a backward elimination regression analysis at a 5% level of significance. What is the test statistic of the independent variable that is dropped from the linear model in the first step. Write your answer as a number and round to 2 decimal places.

https://drive.google.com/file/d/19TI3HId0greXS0nkmDuoITv1IMPF_TUK/view?usp=sharing

Please answer tonight, I need help with this and my last questions got closed.

Solutions

Expert Solution

A multiple regression model to predict Cost of Materials by Number of Employees, Number of Production Workers, Value Added by Manufacture, New Capital Expenditures, and End-of-Year Inventories.

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.839739844
R Square 0.705163006
Adjusted R Square 0.694161626
Standard Error 13587.81459
Observations 140
ANOVA
df SS MS F Significance F
Regression 5 59171362320 1.18E+10 64.0976843 7.34406E-34
Residual 134 24740246509 1.85E+08
Total 139 83911608829
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept -921.8128594 1576.212143 -0.58483 0.55964687 -4039.285837 2195.660118 -4039.285837 2195.660118
No. Emp. -279.160853 45.42582026 -6.14542 8.53111E-09 -369.0052104 -189.3164956 -369.0052104 -189.3164956
No. Prod. Wkrs. 336.1246881 50.9337021 6.599259 8.80871E-10 235.3867001 436.8626761 235.3867001 436.8626761
Value Added by Mfg. 1.338788815 0.26095153 5.130412 9.92166E-07 0.822672156 1.854905473 0.822672156 1.854905473
New Cap. Exp. 1.264888119 1.42112829 0.890059 0.375029357 -1.54585602 4.075632257 -1.54585602 4.075632257
End Yr. Inven. 0.777053472 0.433971543 1.790563 0.075621193 -0.081266625 1.635373569 -0.081266625 1.635373569

A backward elimination regression analysis at a 5% level of significance.

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.786739964
R Square 0.61895977
Adjusted R Square 0.610554471
Standard Error 15332.99468
Observations 140
ANOVA
df SS MS F Significance F
Regression 3 51937910124 17312636708 73.63923123 2.37064E-28
Residual 136 31973698705 235100725.8
Total 139 83911608829
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept -1296.437754 1766.919907 -0.733727515 0.464377817 -4790.629258 2197.75375 -4790.629258 2197.75375
No. Prod. Wkrs. 40.5598283 19.9748762 2.030542162 0.044250749 1.058296608 80.06136 1.058296608 80.06136
Value Added by Mfg. 0.654798086 0.207463658 3.156206217 0.001968557 0.244526094 1.065070078 0.244526094 1.065070078
New Cap. Exp. 3.71342516 1.497100481 2.48041144 0.014343744 0.75281797 6.674032351 0.75281797 6.674032351

The test statistic of the independent variable that is dropped from the linear model in the first step.

The test statistic t has the same sign as the correlation coefficient r is used to drop independent variable(No. Emp.) from the linear model in the first step with the significant F value(1.2849E-27).


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