Question 1:
Larger image
The value of the correlation coefficient, r, can be any value within this range.
r<1
r≥1
-1 ≤ r ≤ 1
Any positive value from 0 to infinity depending upon the relationship.
Question 2:
The Green Belt working on your project found out the strong relationship between
dependent and independent variable. He calculated the value of correlation
coefficient as +1.025. What will be your response to this?
Ask him to recheck if the coefficient is positive or negative.
Congratulate him on finding out the real issue.
Ask him to review his training course material on correlation and regression
Check with him, what is the dependent and what is the independent variable?
Question 3:
In your Six Sigma project you are establishing relationship between the temperature
and the bonding strength. Based on your technical knowledge you guessed that the
bonding strength reduces with the increase in temperature.
In this study what is the dependent variable?
Temperature
Bonding Strength
None of these
Both of these
Question 4:
In your Six Sigma project you are establishing relationship between the temperature
(X) and the bonding strength (Y). You established the regression line as: Y = - 5.6 -
3.4X
What is the slope of this line?
- 3.4
3.4
(-3.4) / (-5.6)
(-5.6) / (-3.4)
Question 5:
If the value of the correlation coefficient is positive, then the points on the scatter
diagram cluster
from lower left to upper right
from upper left to lower right
horizontally in straight line
vertically in straight line
Question 6:
Which of the following shows the strongest correlation?
Correlation coefficient = 0.7
Correlation coefficient = - 0.8
Coefficient of Determination = 0.7
Coefficient of Determination = 0.5
Question 7:
During your Six Sigma project, you are informed by your team member that the
Coefficient of Determination between the temperature and the bonding strength is "-
0.9". What will be your conclusion based on this information?
With increase in temperature the bonding strength reduces.
With increase in temperature the bonding strength reduces increases.
Temperature and bonding strength do not have any relationship
Your team member needs to attend the basic statistics training
Question 8:
In the regression equation Y=a+bX , what is "a" ?
Error factor
Slope
Intercept
Error constant
Question 9:
If the Coefficient of Determination is 0.80, then the Coefficient of Correlation would
be?
0.64
0.89
0.064
6.4
Question 10:
If the correlation coefficient is 0.9, the percentage of variation in the response
variable explained by the variation in the explanatory variable is
90 %
0.90 %
9%
81%
Question 11:
In regression analysis, if the dependent variable is measured in "meters", then the
independent variable
must also be measured in meters.
can be any unit as long as it is the length unit
must not be measured in meters.
can be any unit.
Question 12:
In multiple linear regression when input variables are correlated, it is called ............
Error of measurement
Heterogeneity
Multicollinearity
Homogeneity
Question 13:
The difference between MANOVA and ANOVA is that MANOVA has the ability to
handle ..........
several dependent variables
several independent variables
Non parametric variables
large sample sizes
Question 14:
If in the regression equation, the slope is calculated to be equal to zero
Shows perfect positive correlation
Shows perfect negative correlation
The output is not affected by the input values
None of these
