Regression Objective Type Questions and Answers

Questions

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

A the correlation model

B the regression model

C used to compute the correlation coefficient

D None of these alternatives is correct

View Answer

Answer: the regression model

22 SSE can never be

A larger than SST

B smaller than SST

C equal to 1

D equal to zero

View Answer

Answer: larger than SST

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23 If two variables, x and y, have a very strong linear relationship, then

A there is evidence that x causes a change in y

B there is evidence that y causes a change in x

C there might not be any causal relationship between x and y

D None of these alternatives is correct

View Answer

Answer: there might not be any causal relationship between x and y

24 If the coefficient of determination is equal to 1, then the correlation coefficient

A must also be equal to 1

B can be either -1 or +1

C can be any value between -1 to +1

D must be -1

View Answer

Answer: can be either -1 or +1

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

A must also be in kilograms

B must be in some unit of weight

C cannot be in kilograms

D can be any units

View Answer

Answer: must also be in kilograms

26 In a regression analysis if SSE = 200 and SSR = 300, then the coefficient of determination is

A 0.6667

B 0.6000

C 0.4000

D All of the above

View Answer

Answer: 0.6000

27 If the correlation coefficient is a positive value, then the slope of the regression line

A must also be positive

B can be either negative or positive

C can be zero

D can not be zero

View Answer

Answer: must also be positive

28 If the coefficient of determination is 0.81, the correlation coefficient

A is 0.6561

B could be either + 0.9 or - 0.9

C must be positive

D must be negative

View Answer

Answer: could be either + 0.9 or - 0.9

29 A fitted least squares regression line

A may be used to predict a value of y if the corresponding x value is given

B is evidence for a cause-effect relationship between x and y

C can only be computed if a strong linear relationship exists between x and y

D None of these alternatives is correct

View Answer

Answer: may be used to predict a value of y if the corresponding x value is given

30 Assume the same variables as in question 28 above; height is measured in feet and weight is measured in pounds. Now, suppose that the units of both variables are converted to metric (meters and kilograms). The impact on the slope is:

A the sign of the slope will change

B the magnitude of the slope will change

C both a and b are correct

D neither a nor b are correct

View Answer

Answer: the magnitude of the slope will change

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