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Six Sigma ICBB Exam Practice Questions (P. 5)

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Question #41
Which statement(s) are incorrect for the Regression Analysis shown here? (Note: There are 2 correct answers).

  1. A
    The air-fuel ratio explains most of the TurbineOutput variation
  2. B
    The Regression explains over 98% of the process variation
  3. C
    This Multiple Linear Regression has three statistically significant independent variables
  4. D
    If the air-fuel ratio increases by 1, the TurbineOutput more than triples
  5. E
    The SteamExitTemp explains the most variation of the TurbineOutput

Correct Answer:
DE

Question #42
Which statement(s) are most correct for the Regression Analysis shown here?

  1. A
    The Regression explains 50.8% of the process variation
  2. B
    The air-fuel ratio explains most of the TurbineOutput variation
  3. C
    This Simple Linear Regression explains 98+% of the process variation
  4. D
    This Multiple Linear Regression has four statistically significant independent variables

Correct Answer:
B

Question #43
A valid mathematical Regression represents all of the characteristics shown except ___________________________.
  1. A
    The residuals when plotted follow a Normal Distribution
  2. B
    The sum of the residuals is zero
  3. C
    All of the standardized residuals will be within ±3 Standard Deviations
  4. D
    Most standardized residuals are within ±2 Standard Deviations

Correct Answer:
C

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.
  1. A
    Negative
  2. B
    Positive
  3. C
    Monomial
  4. D
    Single alignment

Correct Answer:
B

Question #45
A valid Multiple Linear Regression (MLR) is characterized by all of these except _______________________.
  1. A
    It is an assumption that the X’s (inputs) are not correlated to each other
  2. B
    The X’s (inputs) are assumed to be independent of each other
  3. C
    MLR is conducted based on a deliberate form of experimentation
  4. D
    The Residuals from MLR analysis have to be Normally Distributed

Correct Answer:
C

Question #46
Which statement is NOT correct about the Fitted Line Plot shown here?

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

Correct Answer:
D

Question #47
When doing Hypothesis Testing on Non-normal data Belts will use a ________________ to compare more than two sample proportions to each other.
  1. A
    Z score Table
  2. B
    Sakami Table
  3. C
    Mean-to-Mode Analysis
  4. D
    Contingency Table

Correct Answer:
C

Question #48
It would be more likely than not for a Belt conducting a Regression Analysis to find that the _______________________.
  1. A
    r2 value is smaller than the absolute value of r
  2. B
    Correlation Coefficient equals r2
  3. C
    Coefficient of Determination is less than r2
  4. D
    Correlation Coefficient equals r divided by 2

Correct Answer:
A

Question #49
When a Belt properly analyzes the results of an experiment he must examine the Residuals in expectation of finding all of the following except _________.
  1. A
    Some Residuals higher than others
  2. B
    Some Residuals lower than others
  3. C
    All Residuals within 2 Standard Deviations of the Mean
  4. D
    Residuals will represent a Linear Regression

Correct Answer:
D

Question #50
Which statement(s) are correct about the Regression shown here? (Note: There are 2 correct answers).


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

Correct Answer:
DE

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