A valid mathematical Regression represents all of the characteristics shown except ___________________________.
A. The residuals when plotted follow a Normal Distribution
B. The sum of the residuals is zero
C. All of the standardized residuals will be within ? Standard Deviations
D. Most standardized residuals are within ? Standard Deviations
When a Belt conducts a Linear Correlation Analysis and finds that as an X increases the Y also increase then he has proven a ______________ correlation.
A. Negative
B. Positive
C. Monomial
D. Single alignment
A valid Multiple Linear Regression (MLR) is characterized by all of these except _______________________.
A. It is an assumption that the X's (inputs) are not correlated to each other
B. The X's (inputs) are assumed to be independent of each other
C. MLR is conducted based on a deliberate form of experimentation
D. The Residuals from MLR analysis have to be Normally Distributed
Which statement(s) are most correct for the Regression Analysis shown here?
A. The Regression explains 50.8% of the process variation
B. The air-fuel ratio explains most of the TurbineOutput variation
C. This Simple Linear Regression explains 98+% of the process variation
D. This Multiple Linear Regression has four statistically significant independent variables
Which statement(s) are incorrect for the Regression Analysis shown here? (Note: There are 2 correct answers).
A. The air-fuel ratio explains most of the TurbineOutput variation
B. The Regression explains over 98% of the process variation
C. This Multiple Linear Regression has three statistically significant independent variables
D. If the air-fuel ratio increases by 1, the TurbineOutput more than triples
E. The SteamExitTemp explains the most variation of the TurbineOutput
Which statement(s) are correct about the DOE Factorial plot output here? (Note: There are 3 correct answers).
A. Two factors were operated at 3 levels each
B. The highest tool age was achieved with metal hardness at high level while keeping the cutting speed at the low level
C. The design indicated above is a 32 factorial design
D. The cutting speed and cutting angle are at the low level for the least tool age achieved
E. All factors had 2 levels in the experiment
Screening experiments are the proper choice when a Belt is faced with the situation of highly Fractional Factorial Designs.
A. True
B. False
Fractional Factorial designs are used to reduce the ____________ because the number of runs has been lowered.
A. Time and cost of experiments
B. Number of people involved
C. Number of data measurement points
D. Output summary
Fractional Factorial Designs are used to analyze factors to model the output as a function of inputs if Hypothesis Testing in the Analyze Phase was inadequate to sufficiently narrow the factors that significantly impact the output(s).
A. True
B. False
A Factorial Experiment based on a Level 2 Design with 6 factors would require 16 runs to fully assess the interactions.
A. True
B. False
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