Question 1

Suppose a researcher wants to explain attitudes towards a respondent's city of residence in terms of duration of residence in the city.The attitude is measured on an 11-point scale and the duration of residence is measured in terms of the number of years the respondent has lived in the city.In a pretest of 12 respondents,the calculated t value for the correlation coefficient based on the data given is 8.414.The critical value of t for a two-tailed test and α = 0.05 is 2.228.r = .9361.What is the null hypothesis for this scenario? What do the results mean in terms of the null hypothesis and the correlation coefficient,r?

Accepted Answer

The null hypothesis of no relationship b...

Question 2

The vertical distance from a point to the regression line is the squared error,e2.

Accepted Answer

A) True 
 B)False

Question 3

The general form of the multiple regression model is estimated by which equation?

Accepted Answer

A)  Ŷ i = a + bXi
B)  Ŷ i =β0 + β1 Xi + ei
C)  Ŷ =a + b1 X1 + b2 X2 + b3X3 + ...+ bkXk
D)  Ŷ = a + b1X1 + b2X2E) A) and D)
F) A) and C)

Question 4

If a variable explains a significant proportion of the residual variation,it should be considered for inclusion in the regression equation.

Accepted Answer

A) True 
 B)False

Question 5

The partial correlation coefficient is a measure of the correlation between Y and X when the linear effects of the other independent variables have been removed from X but not from Y.

Accepted Answer

A) True 
 B)False

Question 6

The equation for r is represented as ________.

Accepted Answer

A)  COVxy/ Sx2Sy2
B)  SxSy/COV
C)  COVxy/ SxSy
D)  Sx2Sy2/COVE) A) and B)
F) A) and C) C

Question 7

The ________ denotes the change in the predicted value,Ŷ,per unit change in X1 when the other independent variables,X2 to Xk, are held constant.

Accepted Answer

A)  partial regression coefficient
B)  partial correlation coefficient
C)  part correlation coefficient
D)  part regression coefficientE) B) and D)
F) A) and D)

Question 8

Which statement is not true about regression analysis?

Accepted Answer

A)  The terms dependent or criterion variables,and independent or predictor variables in regression analysis do not imply that the criterion variable is dependent on the independent variables in a causal sense.
B)  Regression analysis can be used to determine if color preference is related to product size and price.
C)  Regression can be used to predict the values of the dependent variable.
D)  Regression analysis is a powerful and flexible procedure for analyzing associative relationships between a metric dependent variable and one or more independent variables.E) B) and C)
F) None of the above

Question 9

The product moment correlation helps us determine the strength of the association between two metric variables.Regression analysis helps us determine which variables cause a change in other variables.

Accepted Answer

A) True 
 B)False

Question 10

The product moment correlation,r2,is an index used to determine whether a linear,or straight-line,relationship exists between X and Y.It indicates the degree to which the variation in one variable,X,is related to the variation in another variable,Y.

Accepted Answer

A) True 
 B)False

Question 11

The relationship between X and Y is spurious if ________.

Accepted Answer

A)  Y increases exponentially with increases in X
B)  the correlation between X and Y disappears when the effect of Z is controlled
C)  Y decreases exponentially with decreases in X
D)  both A and C are correctE) B) and C)
F) A) and D)

Question 12

The partial correlation coefficient is generally viewed as more important than the part correlation coefficient.

Accepted Answer

A) True 
 B)False  True

Question 13

The product moment correlation,r,is the most widely used statistic summarizing the strength of association between two metric (interval or ordinal scaled)variable,say X and Y.

Accepted Answer

A) True 
 B)False  False

Question 14

In what ways can regression analysis be used?

Accepted Answer

1.Determine whether the independent vari...

Question 15

Partial correlations have an order associated with them.The order indicates how many variables are being adjusted or controlled.The simple correlation coefficient,r,has a ________,as it does not control for any additional variables when measuring the association between two variables.The coefficient rsy.z is a ________ partial correlation coefficient,as it controls for the effect of one additional variable,Z.

Accepted Answer

A)  zero-order;first-order
B)  zero-order;second-order
C)  first-order;second-order
D)  first-order;third-orderE) C) and D)
F) None of the above

Question 16

The ________ is a statistic summarizing the strength of association between two metric variables.

Accepted Answer

A)  multiple regression analysis
B)  partial correlation coefficient
C)  ANOVA
D)  product moment correlationE) B) and C)
F) None of the above

Question 17

________ is a regression procedure in which the predictor variables enter or leave the regression equation one at a time.

Accepted Answer

A)  Multiple regression
B)  Bivariate regression
C)  Dummy variable regression
D)  Stepwise regressionE) A) and B)
F) A) and C)

Question 18

Which of the following situations is best addressed by regression?

Accepted Answer

A)  Is there an association between market share and the size of the sales force?
B)  Is there an association between market share and size of the sales force after adjusting for the effect of sales promotion?
C)  Determine how much of the variation in the dependent variable (store sales) can be explained by the independent variables (price and level of advertisement) .
D)  Are consumers' perceptions of quality related to their perceptions of prices when the effect of brand image is controlled?E) A) and B)
F) B) and C)

Question 19

The bivariate regression model that accounts for the probabilistic or stochastic nature of the relationship between X and Y is ________.

Accepted Answer

A)  Ŷ = a + b1X1 + b2X2
B)  Y = β0 + β1 Xi
C)  Yi =β0 + β1 Xi + ei
D)  Ŷ i = a + bXiE) All of the above
F) A) and B)

Question 20

When considering nonmetric correlation,as a rule of thumb,________ is to be preferred when a large number of cases fall into a relatively small number of categories (thereby leading to a large number of ties) .

Accepted Answer

A)  Spearman's rho
B)  Kendall's tau
C)  chi-square
D)  Pearson product moment correlationE) All of the above
F) C) and D)

Exam 17: Correlation and Regression

Correct Answer
verified
The null hypothesis of no relationship b...
View Answer

The vertical distance from a point to the regression line is the squared error,e²^.

Correct Answer
verified

The general form of the multiple regression model is estimated by which equation?

Correct Answer
verified

If a variable explains a significant proportion of the residual variation,it should be considered for inclusion in the regression equation.

Correct Answer
verified

The partial correlation coefficient is a measure of the correlation between Y and X when the linear effects of the other independent variables have been removed from X but not from Y.

Correct Answer
verified

The equation for r is represented as ________.

Correct Answer
verified
C

The ________ denotes the change in the predicted value,Ŷ,per unit change in X₁ when the other independent variables,X₂ to X_k_, are held constant.

Correct Answer
verified

Which statement is not true about regression analysis?

Correct Answer
verified

The product moment correlation helps us determine the strength of the association between two metric variables.Regression analysis helps us determine which variables cause a change in other variables.

Correct Answer
verified

The product moment correlation,r²,is an index used to determine whether a linear,or straight-line,relationship exists between X and Y.It indicates the degree to which the variation in one variable,X,is related to the variation in another variable,Y.

Correct Answer
verified

The relationship between X and Y is spurious if ________.

Correct Answer
verified

The partial correlation coefficient is generally viewed as more important than the part correlation coefficient.

Correct Answer
verified
True

The product moment correlation,r,is the most widely used statistic summarizing the strength of association between two metric (interval or ordinal scaled)variable,say X and Y.

Correct Answer
verified
False

In what ways can regression analysis be used?

Correct Answer
verified
1.Determine whether the independent vari...
View Answer

Correct Answer
verified

The ________ is a statistic summarizing the strength of association between two metric variables.

Correct Answer
verified

________ is a regression procedure in which the predictor variables enter or leave the regression equation one at a time.

Correct Answer
verified

Which of the following situations is best addressed by regression?

Correct Answer
verified

The bivariate regression model that accounts for the probabilistic or stochastic nature of the relationship between X and Y is ________.

Correct Answer
verified

When considering nonmetric correlation,as a rule of thumb,________ is to be preferred when a large number of cases fall into a relatively small number of categories (thereby leading to a large number of ties) .

Correct Answer
verified

Exam 17: Correlation and Regression

Correct AnswerverifiedThe null hypothesis of no relationship b...View AnswerShow Answer

The vertical distance from a point to the regression line is the squared error,e2.

Correct AnswerverifiedShow Answer

The general form of the multiple regression model is estimated by which equation?

Correct AnswerverifiedShow Answer

If a variable explains a significant proportion of the residual variation,it should be considered for inclusion in the regression equation.

Correct AnswerverifiedShow Answer

The partial correlation coefficient is a measure of the correlation between Y and X when the linear effects of the other independent variables have been removed from X but not from Y.

Correct AnswerverifiedShow Answer

The equation for r is represented as ________.

Correct AnswerverifiedC

The ________ denotes the change in the predicted value,Ŷ,per unit change in X1 when the other independent variables,X2 to Xk, are held constant.

Correct AnswerverifiedShow Answer

Which statement is not true about regression analysis?

Correct AnswerverifiedShow Answer

The product moment correlation helps us determine the strength of the association between two metric variables.Regression analysis helps us determine which variables cause a change in other variables.

Correct AnswerverifiedShow Answer

The product moment correlation,r2,is an index used to determine whether a linear,or straight-line,relationship exists between X and Y.It indicates the degree to which the variation in one variable,X,is related to the variation in another variable,Y.

Correct AnswerverifiedShow Answer

The relationship between X and Y is spurious if ________.

Correct AnswerverifiedShow Answer

The partial correlation coefficient is generally viewed as more important than the part correlation coefficient.

Correct AnswerverifiedTrue

The product moment correlation,r,is the most widely used statistic summarizing the strength of association between two metric (interval or ordinal scaled)variable,say X and Y.

Correct AnswerverifiedFalse

In what ways can regression analysis be used?

Correct Answerverified1.Determine whether the independent vari...View AnswerShow Answer

Correct AnswerverifiedShow Answer

The ________ is a statistic summarizing the strength of association between two metric variables.

Correct AnswerverifiedShow Answer

________ is a regression procedure in which the predictor variables enter or leave the regression equation one at a time.

Correct AnswerverifiedShow Answer

Which of the following situations is best addressed by regression?

Correct AnswerverifiedShow Answer

The bivariate regression model that accounts for the probabilistic or stochastic nature of the relationship between X and Y is ________.

Correct AnswerverifiedShow Answer

When considering nonmetric correlation,as a rule of thumb,________ is to be preferred when a large number of cases fall into a relatively small number of categories (thereby leading to a large number of ties) .

Correct AnswerverifiedShow Answer

Correct Answer
verified
The null hypothesis of no relationship b...
View Answer

The vertical distance from a point to the regression line is the squared error,e²^.

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified
C

The ________ denotes the change in the predicted value,Ŷ,per unit change in X₁ when the other independent variables,X₂ to X_k_, are held constant.

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

The product moment correlation,r²,is an index used to determine whether a linear,or straight-line,relationship exists between X and Y.It indicates the degree to which the variation in one variable,X,is related to the variation in another variable,Y.

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified
True

Correct Answer
verified
False

Correct Answer
verified
1.Determine whether the independent vari...
View Answer

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified