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QUESTION 40
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
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

QUESTION 41
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 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

QUESTION 43
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 ±3 Standard Deviations
D. Most standardized residuals are within ±2 Standard Deviations

QUESTION 44
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

QUESTION 45
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 is NOT correct about the Fitted Line Plot shown here?

A. The independent variable is the reactant
B. If the reactant was 6 units, with 95 % confidence we would expect a minimum yield of 100 units
C. With at least 95% confidence, we can expect less than 10 units of Yield when the reactant is at a value of 1
D. A reactant value between 2 and 4 units yields around 20 to 40
E. When the reactant increases, the expected yield would increase

QUESTION 47
When doing Hypothesis Testing on Non-normal data Belts will use a ________________ to compare more than two sample proportions to each other.
A. Z score Table
B. Sakami Table
C. Mean-to-Mode Analysis
D. Contingency Table
It would be more likely than not for a Belt conducting a Regression Analysis to find that the _______________________.
A. r2 value is smaller than the absolute value of r
B. Correlation Coefficient equals r2
C. Coefficient of Determination is less than r2
D. Correlation Coefficient equals r divided by 2

When a Belt properly analyzes the results of an experiment he must examine the Residuals in expectation of finding all of the following except _________.
A. Some Residuals higher than others
B. Some Residuals lower than others
C. All Residuals within 2 Standard Deviations of the Mean
D. Residuals will represent a Linear Regression

Which statement(s) are correct about the Regression shown here? (Note: There are 2 correct answers).

A. The dependent variable is the outside temperature
B. The relationship between outside temperature and number of customers per hour is a Linear Regression
C. The dashed lines indicate with 95% confidence where all of the process data should fall between
D. The dashed lines indicate with 95% confidence the estimate for the Quadratic Regression Line
E. The predicted number of customers per hour is close to 5 if the outside temperature is 10 deg C

QUESTION 51
Which of these might contribute to similar distributions having Unequal Variance?
A. Extreme tails
B. Outliers
C. Multiple Modes
D. All of the above

QUESTION 52
A Belt working in a supply chain environment has to make a decision to change suppliers of critical raw materials for a new product upgrade. The purchasing manager is depending on the Belt’s effort requiring that the average cost of an internal critical raw material component be less than or equal to \$4,200 in order to stay within budget. Using a sample of 35 first article components, a Mean of the new product upgrade price of \$4,060, and a Standard Deviation of \$98 was estimated. Select the answer that best states the Practical Problem.
A. If the average cost per component is \$4,200 or less, then the purchase manager will introduce the new product upgrade with new components.
B. If the average cost per component is greater than \$4,200, then the purchase manager will introduce the new product upgrade with new components.
C. Only if the average cost per product upgrade is \$4,060, will the purchase manager introduce new product upgrades with new components.
D. If the average cost per new product upgrade is less than \$180, then the purchase manager will introduce the new product upgrade with new components.

QUESTION 53
A Belt working in a supply chain environment has to make a decision to change suppliers of critical raw materials for a new product upgrade. The purchasing manager is depending on the Belt’s effort requiring that the average cost of an internal critical raw material component be less than or equal to \$4,200 in order to stay within budget. Using a sample of 35 first article components, a Mean of the new product upgrade price of \$4,060, and a Standard Deviation of \$98 was estimated. The Alternative Hypothesis in the above example is?
A. The Standard Deviation is equal to \$300.
B. The Mean is less than \$4,320.
C. The Mean is equal to \$4,060.
D. The Mean is less than \$4,200.
E. The Mean is greater than \$ 4,200.