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MCQs

Total Questions : 61 | Page 5 of 7 pages
Question 41. You have carried out a regression analysis; but, after thinking about the relationship between
variables, you have decided you must swap the explanatory and the response variables. After
refitting the regression model to the data you expect that:
  1.    the value of the correlation coefficient will change
  2.    the value of SSE will change
  3.    the value of the coefficient of determination will change
  4.    the sign of the slope will change
 Discuss Question
Answer: Option B. -> the value of SSE will change


Question 42. Suppose you use regression to predict the height of a woman’s current boyfriend by using her own
height as the explanatory variable. Height was measured in feet from a sample of 100 women
undergraduates, and their boyfriends, at Dalhousie University. Now, suppose that the height of
both the women and the men are converted to centimeters. The impact of this conversion on the
slope is:
  1.    the sign of the slope will change
  2.    the magnitude of the slope will change
  3.    both a and b are correct
  4.    neither a nor b are correct
 Discuss Question
Answer: Option D. -> neither a nor b are correct


Question 43. A residual plot:
  1.    displays residuals of the explanatory variable versus residuals of the response variable
  2.    displays residuals of the explanatory variable versus the response variable.
  3.    displays explanatory variable versus residuals of the response variable
  4.    displays the explanatory variable versus the response variable.
 Discuss Question
Answer: Option C. -> displays explanatory variable versus residuals of the response variable


Question 44. When the error terms have a constant variance, a plot of the residuals versus the independent
variable x has a pattern that
  1.    fans out
  2.    funnels in
  3.    fans out, but then funnels in
  4.    forms a horizontal band pattern
 Discuss Question
Answer: Option D. -> forms a horizontal band pattern


Question 45. The relationship between number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study: != -0.0127 + 0.0180x The above equation implies that_________
  1.    each beer consumed increases blood alcohol by 1.27%
  2.    on average it takes 1.8 beers to increase blood alcohol content by 1%
  3.    each beer consumed increases blood alcohol by an average of amount of 1.8%
  4.    each beer consumed increases blood alcohol by exactly 0.018
 Discuss Question
Answer: Option C. -> each beer consumed increases blood alcohol by an average of amount of 1.8%


Question 46. Statistics branches include__________
  1.    Applied Statistics
  2.    Mathematical Statistics
  3.    Industry Statistics
  4.    Both A and B
 Discuss Question
Answer: Option D. -> Both A and B


Question 47. When the two regression line coincide, then r is_________
  1.    1
  2.    -1
  3.    0
  4.    None of these
 Discuss Question
Answer: Option C. -> 0


Question 48. When a multiple correlation coefficient R 1.23 =1 , then R 2.13 is________
  1.    1
  2.    -1
  3.    0
  4.    None of these
 Discuss Question
Answer: Option A. -> 1


Question 49. What will be the range of r when we find that the dependent variable increases as the independent variable increases?__________
  1.    0 to -0.05
  2.    1 to 2
  3.    0 .1 to 1
  4.    None of these
 Discuss Question
Answer: Option C. -> 0 .1 to 1


Question 50. Which of the following is the highest range of r?__________
  1.    0 and 1
  2.    -1 and 0
  3.    -1 and 1
  4.    None of these
 Discuss Question
Answer: Option C. -> -1 and 1


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