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MCQs

Total Questions : 61 | Page 3 of 7 pages
Question 21. In regression analysis, the variable that is being predicted is the
  1.    response, or dependent, variable
  2.    independent variable
  3.    intervening variable
  4.    is usually x
 Discuss Question
Answer: Option A. -> response, or dependent, variable


Question 22. In least squares regression, which of the following is not a required assumption about the error
term ε?
  1.    The expected value of the error term is one
  2.    The variance of the error term is the same for all values of x.
  3.    The values of the error term are independent
  4.    The error term is normally distributed.
 Discuss Question
Answer: Option A. -> The expected value of the error term is one


Question 23. Larger values of r^2 (R^2
) imply that the observations are more closely grouped about the
  1.    average value of the independent variables
  2.    average value of the independent variables
  3.    least squares line
  4.    origin
 Discuss Question
Answer: Option C. -> least squares line


Question 24. In a regression analysis if r^2 = 1, then
  1.    SSE must also be equal to one
  2.    SSE must be equal to zero
  3.    SSE can be any positive value
  4.    SSE must be negative
 Discuss Question
Answer: Option B. -> SSE must be equal to zero


Question 25. The coefficient of correlation
  1.    is the square of the coefficient of determination
  2.    is the square root of the coefficient of determination
  3.    is the same as r-square
  4.    can never be negative
 Discuss Question
Answer: Option B. -> is the square root of the coefficient of determination


Question 26. In regression analysis, the variable that is used to explain the change in the outcome of an
experiment, or some natural process, is called
  1.    the x-variable
  2.    the independent variable
  3.    the predictor variable
  4.    the explanatory variable
  5.    all of the above
 Discuss Question
Answer: Option E. -> all of the above


Question 27. In the case of an algebraic model for a straight line, if a value for the x variable is specified, then
  1.    the exact value of the response variable can be computed
  2.    the computed response to the independent value will always give a minimal residual
  3.    the computed value of y will always be the best estimate of the mean response
  4.    none of these alternatives is correct.
 Discuss Question
Answer: Option A. -> the exact value of the response variable can be computed


Question 28. In a regression and correlation analysis if r
2 = 1, then
  1.    SSE = SST
  2.    SSE = 1
  3.    SSR = SSE
  4.    SSR = SST
 Discuss Question
Answer: Option D. -> SSR = SST


Question 29. If the coefficient of determination is a positive value, then the regression equation 
  1.    must have a positive slope
  2.    must have a negative slope
  3.    could have either a positive or a negative slope
  4.    must have a positive y intercept
 Discuss Question
Answer: Option C. -> could have either a positive or a negative slope


Question 30. If two variables, x and y, have a very strong linear relationship, then 
  1.    there is evidence that x causes a change in y
  2.    there is evidence that y causes a change in x
  3.    there might not be any causal relationship between x and y
  4.    None of these alternatives is correct.
 Discuss Question
Answer: Option C. -> there might not be any causal relationship between x and y


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