Improve Phase Test

1. Question

If the correlation coefficient of two variables is zero, the two variables are independent?

True

Correct Incorrect Correct answer

False

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2. Question

Correlation implies causation?

True

Correct Incorrect Correct answer

False

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3. Question

R2 measures the proportion of variability in the data which can be explained by the model?

True

Correct Incorrect Correct answer

False

Correct Incorrect Correct answer

4. Question

In a multiple linear regression analysis, the p-values of the insignificant predictors are the ones that are smaller than the alpha level?

True

Correct Incorrect Correct answer

False

Correct Incorrect Correct answer

5. Question

When eliminating insignificant variables from a multiple linear regression model, we should remove all insignificant variables at the same time?

True

Correct Incorrect Correct answer

False

Correct Incorrect Correct answer

6. Question

Multicollinearity is the situation when two or more independent variables in a multiple regression model are correlated with each other?

True

Correct Incorrect Correct answer

False

Correct Incorrect Correct answer

7. Question

Replication in DOE increases the total degrees of freedom?

True

Correct Incorrect Correct answer

False

Correct Incorrect Correct answer

8. Question

Fractional factorial experiments require fewer resources and runs than full factorial experiments?

True

Correct Incorrect Correct answer

False

Correct Incorrect Correct answer

9. Question

Which of the following situations does NOT indicate that the simple linear regression model is statistically significant?

F-statistic of ANOVA is greater than the critical statistic

Correct Incorrect Correct answer

F-statistic of ANOVA is smaller than the critical statistic

Correct Incorrect Correct answer

p-value of the F-test of ANOVA is lower than the alpha level

Correct Incorrect Correct answer

correlation coefficient between the dependent and independent variable is close to 1

Correct Incorrect Correct answer

10. Question

What is the total degrees of freedom of a simple linear regression model built using 25 data points?

25

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24

Correct Incorrect Correct answer

1

Correct Incorrect Correct answer

0

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11. Question

Which of the following assumptions is NOT required to ensure the reliability of the linear regression model?

The errors are normally distributed with mean equal to zero

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The errors are independent

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The errors have a constant variance

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The underlying population relationship is non-linear

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12. Question

In a two-level full factorial DOE with four factors, how many runs should there be?

4

Correct Incorrect Correct answer

8

Correct Incorrect Correct answer

16

Correct Incorrect Correct answer

2

Correct Incorrect Correct answer

13. Question

In an orthogonal design, the sum of products for each run should equal zero?

True

Correct Incorrect Correct answer

False

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14. Question

What is the resolution of a 23-1 DOE?

Resolution III

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Resolution IV

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Resolution V

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15. Question

Pearson’s correlation coefficient measures both linear and non-linear relationship between two variables?

True

Correct Incorrect Correct answer

False

Correct Incorrect Correct answer

16. Question

In a resolution III design, the main effects are confounded with?

2 way interaction

Correct Incorrect Correct answer

3 way interactions

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4 way interactions

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17. Question

A correlation coefficient of 0.00 means there is absolutely no relationship?

True

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False

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18. Question

Which of the following correlation coefficients best represents a strong positive linear relationship?

r= 0.99

Correct Incorrect Correct answer

r = -0.99

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r = 0.61

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r = -0.89

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19. Question

Which of the following correlation coefficients best represents a strong inverse linear relationship?

r= 0.99

Correct Incorrect Correct answer

r = -0.99

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r = 0.61

Correct Incorrect Correct answer

r = -0.59

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20. Question

Which of the following correlation coefficients best represents a moderate positive linear relationship?

r= 0.99

Correct Incorrect Correct answer

r = -0.99

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r = 0.61

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r = -0.59

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21. Question

Which of the following correlation coefficients best represents the absence of a linear relationship?

r= 0.99

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r = -0.99

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r = 0.61

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r = 1.0

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22. Question

Which of the following correlation coefficients do not represent a perfect linear relationship?

r = -1.0

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r = 0.00

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r = 1.0

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23. Question

Which of the following is a way in which you might deal with multicollinearity?

Increase the sample size

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Decrease the sample size

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Remove the variable with high VIF

Correct Incorrect Correct answer

Remove the variable with low VIF

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24. Question

Would increasing the sample size be an effective way to deal multicollinearity?

Yes

Correct Incorrect Correct answer

No

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25. Question

If VIF ≥ 10, there is no multicollinearity?

True

Correct Incorrect Correct answer

False

Correct Incorrect Correct answer

26. Question

If VIF = 1, there is no multicollinearity?

True

Correct Incorrect Correct answer

False

Correct Incorrect Correct answer

27. Question

Experiments are passive studies in which historical data are used to conduct analysis?

True

Correct Incorrect Correct answer

False

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28. Question

In DOE the principle of parsimony suggests that the goal of DOE is to use the minimum amount of data to discover the maximum amount of information?

True

Correct Incorrect Correct answer

False

Correct Incorrect Correct answer

29. Question

When two input factors are aliases of each other, the effects they each have on the response cannot be separated?

True

Correct Incorrect Correct answer

False

Correct Incorrect Correct answer

30. Question

A Resolution III DOE confounds its main effect with?

Three-Way Interactions

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Two-Way Interactions

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Four-Way Interactions

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31. Question

A Resolution IV DOE confounds its main effect with?

Three-Way Interactions

Correct Incorrect Correct answer

Two-Way Interactions

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Four-Way Interactions

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32. Question

A Resolution V DOE confounds its main effect with?

Three-Way Interactions

Correct Incorrect Correct answer

Two-Way Interactions

Correct Incorrect Correct answer

Four-Way Interactions

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33. Question

R2 is also referred to as the coefficient of determination?

True

Correct Incorrect Correct answer

False

Correct Incorrect Correct answer

34. Question

_________ is used to model the linear relationship between one output and two or more inputs?

Multiple Linear Regression

Correct Incorrect Correct answer

Simple Linear Regression

Correct Incorrect Correct answer

Correlation Coefficient

Correct Incorrect Correct answer

Residual Analysis

Correct Incorrect Correct answer

35. Question

_______ are the vertical differences between actual values and the predicted values or the “fitted line” created by a regression model?

Residuals

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Outliers

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X's

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Fitted Values

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36. Question

When the variance inflation factor of an independent variable is larger than ______ there is large multicollinearity for this variable in the model?

10

Correct Incorrect Correct answer

5

Correct Incorrect Correct answer

1

Correct Incorrect Correct answer

0

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37. Question

______ is the measure or quantifiable degree of confounding?

Resolution

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VIF

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RPN

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Alias

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38. Question

What is the primary purpose of linear correlation analysis?

To measure the strength of the linear association between two variables

Correct Incorrect Correct answer

To get an average indication

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To calculate 's'

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39. Question

Multiple linear regression is best described by which?

One X, One Y

Correct Incorrect Correct answer

Two X's, Two Y's

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Two or more X's, One Y

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Two or more X's, Two or more Y's

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40. Question

What is the coefficient in this regression formula: Length = 3.5 + 1.29 mass

3.5

Correct Incorrect Correct answer

-3.5

Correct Incorrect Correct answer

1.29

Correct Incorrect Correct answer

-1.29

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41. Question

Regression analysis does not rely on this assumption about the residuals

to be normally distributed

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to be independent of each other (no patterns and time ordered)

Correct Incorrect Correct answer

non-constant variance

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42. Question

When are correlation and linear regression not used?

to understand the strength and direction of a relationship

Correct Incorrect Correct answer

to understand what happens to the value of X when the value of Y is increasing by one unit

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to establish a prediction equation that will enable us to predict Y for any level of X

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43. Question

Which of the following statements is NOT correct?

the Pearson correlation coefficient "r" will always fall between -1.0 and 1.0

Correct Incorrect Correct answer

a correlation of -0.9 indicates a strong positive relationship

Correct Incorrect Correct answer

a correlation of 0.9 indicates a strong positive relationship

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44. Question

When is the degree of association Moderate?

0.9 <= r 80%

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0.7 <= r <= 0.9, R^2 = 50% to 80%

Correct Incorrect Correct answer

r= < 0.3, R^2 =25%

Correct Incorrect Correct answer

45. Question

How is the transformation of non-normal data into normal data done?

Using Cox plot

Correct Incorrect Correct answer

Using a mathematical function to transform data

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46. Question

What does a variance inflation factor (VIF) of 5 indicate?

No multicollinearity

Correct Incorrect Correct answer

Medium multicollinearity

Correct Incorrect Correct answer

Large multicollinearity

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47. Question

One factor at a time (OFAT) is a type of DOE

True

Correct Incorrect Correct answer

False

Correct Incorrect Correct answer

48. Question

Your multiple regression model returned 3 variables that were significant, and the model looks good based on all other measures. Of the 3 variables, which one has the most influence on your “Y?

The one with the lowest coefficient

Correct Incorrect Correct answer

The one with the highest coefficient

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The one with a positive coefficient

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The one with the negative coefficient

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49. Question

An interaction effect is the average change in the response variable resulting from changes in the levels of one factor?

True

Correct Incorrect Correct answer

False

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50. Question

Interaction effect is the average change in the response resulting from the change in the interaction of multiple factors?

True

Correct Incorrect Correct answer

False

Correct Incorrect Correct answer

51. Question

Fractional factorials are less able to determine effects because of fewer degrees of freedom available to evaluate higher order interactions?

True

Correct Incorrect Correct answer

False

Correct Incorrect Correct answer

52. Question

Factor levels are the selected settings of a factor we are testing in the experiment

True

Correct Incorrect Correct answer

False

Correct Incorrect Correct answer

53. Question

_______ are the number of times running an individual treatment is repeated in a DOE?

Duplicates

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Folds

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Replicates

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Center Points

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54. Question

An experiment design is ________ if the main effect of one factor can be evaluated independent of other factors.

Confounded

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Aliased

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Orthogonal

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55. Question

_______is the quantification or degree of confounding in a DOE?

Alias

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Orthogonality

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Resolution

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Corner Points

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56. Question

The following descriptions is best matched with which DOE term; The Y or Dependent Variable or Process output measurement?

Effect

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Response

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Factors

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Levels

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57. Question

The following descriptions is best matched with which DOE term; The change in the average response across two levels of a factor or between experimental conditions?

Effect

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Response

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Factors

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Levels

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58. Question

The following descriptions is best matched with which DOE term; The X’s or Inputs or Independent variables?

Effect

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Response

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Factors

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Levels

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59. Question

The following descriptions is best matched with which DOE term; Factor settings usually high and low, or + and -, or 1 and -1

Effect

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Response

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Factors

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Levels

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60. Question

Which of the following is a key advantage of DOE over passive learning?

DOE is One Factor at a Time (OFAT)

Correct Incorrect Correct answer

DOE consumes more resources and time

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DOE is active learning through planned study

Correct Incorrect Correct answer

DOE is uses unplanned data collection to draw conclusions

Correct Incorrect Correct answer

61. Question

Statistical process control can be used in different phases of six sigma projects, such as before and after implementation of improvements?

True

Correct Incorrect Correct answer

False

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