BA6933 WEEK7 QUIZ

  1. a multiple regression model has more than one   independent variable
  2.  a procedure used for finding the equation of a straight line which provides the best approximation for the relationship between the independent and dependent variables is the least squares method
  3. any predictions based on this picture would   have no error
  4. Assuming a linear relationship between X and Y, if the coefficient of correlation (r) equals -0.30:  the slope (b1) is negative
  5. Correlation analysis is used to determine   the strength of the relationship between the dependent and the independent variables
  6.  correlation measures the degress of association between two variables  true
  7. If all the points of a scatter diagram lie on the least squares regression line, then the coefficient of determination for these variables based on this data is  1
  8. If all the points of a scatter diagram lie on the line of regression, the value of the standard error of the estimate is  0
  9. if computed, the sign of b in the equation would be   negative (because declining slope)
  10. if the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the variation in the independent variable is   64%
  11. If the coefficient of correlation is a negative value, then the coefficient of determination  must be positive
  12. if the coefficient of determination is 0.81, the coefficient of correlation  is -/+ .9 (none of the above answers)
  13. If the coefficient of determination is a positive value, then the regression equation  could have either a positive or negative slope
  14. If the coefficient of determination is equal to 1, then the coefficient of correlation   can be either -1 or +1  
  15. if the coefficient of the correlation is a positive value, then the slope of regression line must also be   positive
  16. if the coefiificent of determination is 0.9, the percentage of variation in the dependent variaible explained by the variation in the independent variable is   90%
  17. if the coeifficient of correlation is 0.4, the percentage of variation in the dependent variable explained by the variation in the independent variable is   16%
  18. if the correlation coefficient (r) = 1.00, then there is no  unexplained variation
  19. if there is a very strong correlation between two variables, then the coefficient of correlation must be  either +/- 1
  20. if, as x increases, y is just as likely to decrease as increase, we say that there is _________ linear relationship between x and y  no
  21. if, as x increases, y tends to decrease, we say there _________ linear relationship between x and y  inverse
  22. if, as x increases, y tends to increase, we say there is _______ linear relationship between x and y  direct
  23. if, in the population regression equations, beta is negative, we say that there is ___________ linear relationship between x and y  inverse
  24. if, in the population regression equations, beta is positive, we say that there is ___________ linear relationship between x and y  direct
  25. in a regression analysis, the quatitiy that gives the amount by which y changes for a unit change is called the  slope of the regression line
  26. in a regression analysis, the variable that is being predicted is the   dependent variable
  27. in a simple linear regression problem, r and b1  must have the same sign
  28. in a simple linear regression, the sign of the coefficient of correlation is  always the same sign of the slope
  29. in a simple linear regression, when the coefficient of correlation between two variables is zero, the regression line goes through the origin  false
  30. in multiple regression analysis, there can be several   independent variable, but only one dependent variable
  31. in multiple regression anaylsis, the independent variables are sometimes referred to as  explanatory variables
  32. in performing the regression analysis involving two quantitative variables, we are assuming the  variation around the line of regression is the same for each x value
  33. in regression analysis, the independent variable is used to predict the   dependent variable
  34. in regression analysis, the response variable is the   dependent variable
  35. in regression analysis, the variable that is being predicted is the  dependent variable
  36. in regression and correlation analysis, the entitiy on which sets of measurements are taken is called the  unit of association
  37. in simple linear regression, when the coefficient of correlation between the two variables is zero, the regression line is   horizontal
  38. in the equation Y^ = a + bx, a is the   y-intercept of the regression line
  39. in the equation Y^ = a + bx, b is the  slope of the regression line
  40. in the regression and correlation analysis, the measure whose value are restricted to the range 0 to 1, inclusive, is the  coefficient of determination
  41. in the regression and correlation analysis, the meausre who value are restricted to the range -1 to +1, inclusive, is the  correlation coefficient
  42. in this particular problem, the researcher is trying to predict   quantity demanded based on price
  43. Larger values of r2 imply that the observations are more closely grouped about the   least squares line
  44. r^2 is the  coefficient of determination
  45. regression analysis is used for the purpose of prediction  true
  46. Testing for the existence of correlation is equivalent to   testing for the existence of the slope (b1)
  47. the closer the standard error of the estimate is to zero, the better the model fits then observed data   true
  48. the coefficient of correlation is the square root of the   coefficient of determination
  49. the coefficient of correlation is the square root of the   coefficient of determination
  50. the coefficient of determination (r^2) tell us   the proportion of total variation that is explained
  51. the difference between the total variation and the unexplained variation is equal to the   explained variation
  52.   the equation that describes how the dependent variable (y) is related to the independent variable (x) is called the   regression model
  53. the graph of the observations obtained as part of a regression or correlation analysis is called a  scatter diagram
  54. the graph of x, y pairs represented by dots is called  a scatter diagram
  55. the independent variables in regression analysis are sometimes referred to as  predictor variables
  56. the interpretation of the standard error of the estimate is analogous to that of the  standard deviation
  57. the method used to arrive at the best-fitting straight line in regression analysis is referred to as the   least squares method
  58. the principle of least squares states that the sum of the squared deviations between the actual y values and the values predicted by the regression line is  a minimum
  59. the quantity E(yi – y bar)^2 is called the   total sum of squares
  60. the quantity E(yi – y hat)^2 is called the  unexplained sum of squares
  61. the range of the coefficient of determination is -1 to +1  false, it’s 0 to 1
  62. the relationship among several variables may be described geometrically by some   a regression surface
  63. the slope (b1) represents the   change in y per unit change in x
  64. the slope of the line regression represented the unit change in x per unit change in y  FALSE
  65. the standard deviation of the observed y values around the average y is called the standard error of estimate   false
  66. the standard error of estimate, if computed, would be   0
  67. the standard error of the estimate is a measure of  the variation around the regression line
  68. the strength of the linear relationship between two variables may be measured by the  coefficient of correlation
  69. the value of r is always positive  false, can be -/+
  70. the value of r^2 for a particular situation is .49. What is the coefficient of correlation in this situation?  cannot be determined because we should know if it’s – or +
  71. the variable about which the invesitgator wishes to make predictions or estimation is called the  dependent variable
  72. the variable that can be manipulated by the investigator is called the  independent variable
  73. the variable used to predict another variable is called the   independent variable
  74. the width of the confidence interval estimate for the predicted value of y is dependent on  standard error of the estimate, value of x for which the prediction is being made, and sample size (all of the above)
  75. the y-intercept (bo) represents the   predicted value of y when x = 0
  76. the y-intercept (bo) represents the predicted value of y when x = 0   true
  77. when r = -1, it indicates a perfect relationship between x and y   true

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