Question 1

The percent of total variation of the dependent variable Y explained by the set of independent variables X is measured by

Accepted Answer

A)  Coefficient of Correlation
B)  Coefficient of Skewness
C)  Coefficient of Determination
D)  Standard Error or Estimate C

Question 2

The strength (degree) of the correlation between a set of independent variables X and a dependent variable Y is measured by

Accepted Answer

A)  Coefficient of Correlation
B)  Coefficient of Determination
C)  Standard error of estimate
D)  All of the above D

Question 3

In regression analysis, if the independent variable is measured in kilograms, the dependent variable:

Accepted Answer

A)  must also be in kilograms
B)  must be in some unit of weight
C)  cannot be in kilograms
D)  can be any units D

Question 4

A coefficient of correlation is computed to be -0.95 means that:

Accepted Answer

A)  The relationship between two variables is weak
B)  The relationship between two variables is strong and positive
C)  The relationship between two variables is strong and but negative
D)  Correlation coefficient cannot have this value

Question 5

The coefficient of correlation between the regression coefficients is:

Accepted Answer

A)  Arithmetic Mean
B)  Geometric Mean
C)  Average
D)  none

Question 6

Relationship between correlation coefficient and coefficient of determination is that:

Accepted Answer

A)  both are unrelated
B)  The coefficient of determination is the coefficient of correlation squared
C)  The coefficient of determination is the square root of the coefficient of correlation
D)  both are equal

Question 7

Past data has shown that the regression line relating the final exam score and the midterm exam score for students who take statistics from a certain professor is: final exam = 50 + 0.5 × midterm One interpretation of the slope is

Accepted Answer

A)  a student who scored 0 on the midterm would be predicted to score 50 on the final exam.
B)  a student who scored 0 on the final exam would be predicted to score 50 on the midterm exam.
C)  a student who scored 10 points higher than another student on the midterm would be
D)  predicted to score 5 points higher than the other student on the final exam. students only receive half as much credit (.5)  for a correct

Question 8

The value of a correlation is reported by a researcher to be r = −0.5. Which of the following statements is correct?

Accepted Answer

A)  The x-variable explains 25% of the variability in the y-variable.
B)  The x-variable explains −25% of the variability in the y-variable.
C)  The x-variable explains 50% of the variability in the y-variable.
D)  The x-variable explains −50% of the variability in the y-variable.

Question 9

One use of a regression line is

Accepted Answer

A)  to determine if any x-values are outliers.
B)  to determine if any y-values are outliers.
C)  to determine if a change in x causes a change in y.
D)  to estimate the change in y for a one-unit change in x.

Question 10

The regression coefficients re independent of change of origin but:

Accepted Answer

A)  Not of Scale
B)  Also of Scale
C)  No Change in scale
D)  none

Question 11

In regression, the equation that describes how the response variable (y) is related to the explanatory variable (x) is:

Accepted Answer

A)  the correlation model
B)  the regression model
C)  used to compute the correlation coefficient
D)  None of these alternatives is correct.

Question 12

If there is a very strong correlation between two variables then the correlation coefficient must be:

Accepted Answer

A)  any value larger than 1
B)  much smaller than 0, if the correlation is negative
C)  much larger than 0, regardless of whether the correlation is negative or positive
D)  None of these alternatives is correct

Question 13

Relationship between correlation coefficient and coefficient of determination is that

Accepted Answer

A)  both are unrelated
B)  The coefficient of determination is the coefficient of correlation squared
C)  The coefficient of determination is the square root of the coefficient of correlation
D)  both are equal

Question 14

If one of the regression coefficient is greater than unity, the other must be:

Accepted Answer

A)  More than Unity
B)  Less than Unity
C)  Unity
D)  none

Question 15

Let the coefficient of determination computed to be 0.39 in a problem involving one independent variable and one dependent variable. This result means that:

Accepted Answer

A)  The relationship between two variables is negative
B)  The correlation coefficient is 0.39 also
C)  39% of the total variation is explained by the independent variable
D)  39% of the total variation is explained by the dependent variable

Question 16

The strength (degree) of the correlation between a set of independent variables X and a dependent variable Y is measured by

Accepted Answer

A)  Coefficient of Correlation
B)  Coefficient of Determination
C)  Standard error of estimate
D)  All of the above

Question 17

The correlation coefficient is used to determine:

Accepted Answer

A)  A specific value of the y-variable given a specific value of the x-variable
B)  A specific value of the x-variable given a specific value of the y-variable
C)  The strength of the relationship between the x and y variables
D)  None of these

Question 18

In regression analysis, the variable that is used to explain the change in the outcome of an experiment, or some natural process, is called:

Accepted Answer

A)  the x-variable
B)  the independent variable
C)  the predictor variable
D)  the explanatory variable

Question 19

The percent of total variation of the dependent variable Y explained by the set of independent variables X is measured by:

Accepted Answer

A)  Coefficient of Correlation
B)  Coefficient of Skewness
C)  Coefficient of Determination
D)  Standard error

Exam 4: Regression and Correlation Analysis

The percent of total variation of the dependent variable Y explained by the set of independent variables X is measured by

The strength (degree) of the correlation between a set of independent variables X and a dependent variable Y is measured by

In regression analysis, if the independent variable is measured in kilograms, the dependent variable:

A coefficient of correlation is computed to be -0.95 means that:

The coefficient of correlation between the regression coefficients is:

Relationship between correlation coefficient and coefficient of determination is that:

Past data has shown that the regression line relating the final exam score and the midterm exam score for students who take statistics from a certain professor is: final exam = 50 + 0.5 × midterm One interpretation of the slope is

The value of a correlation is reported by a researcher to be r = −0.5. Which of the following statements is correct?

One use of a regression line is

The regression coefficients re independent of change of origin but:

In regression, the equation that describes how the response variable (y) is related to the explanatory variable (x) is:

If there is a very strong correlation between two variables then the correlation coefficient must be:

Relationship between correlation coefficient and coefficient of determination is that

If one of the regression coefficient is greater than unity, the other must be:

Let the coefficient of determination computed to be 0.39 in a problem involving one independent variable and one dependent variable. This result means that:

The strength (degree) of the correlation between a set of independent variables X and a dependent variable Y is measured by

The correlation coefficient is used to determine:

In regression analysis, the variable that is used to explain the change in the outcome of an experiment, or some natural process, is called:

The percent of total variation of the dependent variable Y explained by the set of independent variables X is measured by: