( Best 225+ ) Business Statistics MCQ

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

A. the x-variable

B. the independent variable

C. the predictor variable

D. the explanatory variable

112. If the coefficient of determination is a positive value, then the regression equation:

A. must have a positive slope

B. must have a negative slope

C. could have either a positive or a negative slope

D. must have a positive y intercept

113. 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.

114. 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

115. 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

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

A. Coefficient of Correlation

B. Coefficient of Determination

C. Standard error of estimate

D. All of the above

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

A. Coefficient of Correlation

B. Coefficient of Skewness

C. Coefficient of Determination

D. Standard error

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

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

119. 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:

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

120. Relationship between correlation coefficient and coefficient of determination is that:

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