McqMate
Chapters
| 1. |
Which is a method of measuring correlation?________ |
| A. | Graphic correlation |
| B. | Scatter diagrams |
| C. | None of these |
| D. | Both of these |
| Answer» D. Both of these | |
| 2. |
A scatter diagram is________ |
| A. | A statistical test |
| B. | Linear |
| C. | Curvilinear |
| D. | A graph showing x and y values |
| Answer» D. A graph showing x and y values | |
| 3. |
If there exists any relation between the sets of variables, it is called__________ |
| A. | Regression |
| B. | Skewness |
| C. | Correlation |
| D. | All of these |
| Answer» C. Correlation | |
| 4. |
Perfect correlation is one Perfect correlation is one in which_________ |
| A. | Area of a circle is in definite constant relationship with radius |
| B. | When area of the circle is ½ radius |
| C. | None of these |
| D. | All of these |
| Answer» C. None of these | |
| 5. |
Which of the following measurement scales is required for the valid calculation of Karl Pearson’s correlation coefficient?__________ |
| A. | Ordinal |
| B. | Interval |
| C. | Ratio |
| D. | Nominal |
| Answer» A. Ordinal | |
| 6. |
Which of the following point is not related with the utility of correlation?________ |
| A. | Relation between two variables |
| B. | Help in decision making |
| C. | Useful in research work |
| D. | All of these |
| Answer» D. All of these | |
| 7. |
Which of the following is not cause of the correlation?____________ |
| A. | Direct relationship |
| B. | Correlation due to any other common cause |
| C. | Mutual Reaction |
| D. | None of these |
| Answer» D. None of these | |
| 8. |
Which of the following is the highest range of r?__________ |
| A. | 0 and 1 |
| B. | -1 and 0 |
| C. | -1 and 1 |
| D. | None of these |
| Answer» C. -1 and 1 | |
| 9. |
When the correlation coefficient between x and y is positive, then as variable x decreases, variable y Remains the same________ |
| A. | Increases |
| B. | Decreases |
| C. | Changes linearly |
| D. | none |
| Answer» B. Decreases | |
| 10. |
Which of the following is most likely to be an inverse relationship?__________ |
| A. | Between income and expenditure on education |
| B. | Between price increase and demand for a certain product |
| C. | Between average number of hours studied per day and the performance of the students in the examination |
| D. | Between advertising expenditure and sales of a product. |
| Answer» B. Between price increase and demand for a certain product | |
| 11. |
Which of the following measurement scales is required for the valid calculation of spearman correlation coefficient?_____________ |
| A. | Ordinal |
| B. | Interval |
| C. | Nominal |
| D. | Ratio |
| Answer» B. Interval | |
| 12. |
The ratio of the average deviations is called__________ |
| A. | Regression |
| B. | Correlation |
| C. | Skewness |
| D. | All of these |
| Answer» A. Regression | |
| 13. |
What will be the range of r when we find that the dependent variable increases as the independent variable increases?__________ |
| A. | 0 to -0.05 |
| B. | 1 to 2 |
| C. | 0 .1 to 1 |
| D. | None of these |
| Answer» C. 0 .1 to 1 | |
| 14. |
Which of the following is true if the estimating equation has to be a perfect estimator of the dependent variable?______________ |
| A. | The coefficient of determination is -1 |
| B. | All the data points are on the regression line. |
| C. | The standard error of the estimate is zero |
| D. | B and C |
| Answer» D. B and C | |
| 15. |
When a multiple correlation coefficient R 1.23 =1 , then R 2.13 is________ |
| A. | 1 |
| B. | -1 |
| C. | 0 |
| D. | None of these |
| Answer» A. 1 | |
| 16. |
When a multiple correlation coefficient r 1.2=1, then it shows __________ |
| A. | Reasonably good relationship |
| B. | Lack of linear relationship |
| C. | Perfect relationship |
| D. | None of these |
| Answer» C. Perfect relationship | |
| 17. |
When the two regression line coincide, then r is_________ |
| A. | 1 |
| B. | -1 |
| C. | 0 |
| D. | None of these |
| Answer» C. 0 | |
| 18. |
Statistics branches include__________ |
| A. | Applied Statistics |
| B. | Mathematical Statistics |
| C. | Industry Statistics |
| D. | Both A and B |
| Answer» D. Both A and B | |
| 19. |
The variables whose calculation is done according to the weight, height and length and weight are known as__________ |
| A. | Flowchart Variables |
| B. | Discrete Variables |
| C. | Continuous Variables |
| D. | Measuring Variables |
| Answer» C. Continuous Variables | |
| 20. |
The number of accidents in a city during 2010 is___________ |
| A. | Discrete variable |
| B. | Continuous variable |
| C. | Qualitative variable |
| D. | Constant |
| Answer» B. Continuous variable | |
| 21. |
The correlation coefficient is used to determine________ |
| A. | A specific value of the y-variable given a specific value of the x-variable |
| B. | A specific value of the x-variable given a specific value of the y-variable |
| C. | The strength of the relationship between the x and y variables |
| D. | None of these |
| Answer» C. The strength of the relationship between the x and y variables | |
| 22. |
If there is a very strong correlation between two variables then the correlation coefficient must be _______ |
| A. | any value larger than 1 |
| B. | much smaller than 0, if the correlation is negative |
| C. | much larger than 0, regardless of whether the correlation is negative or positive |
| D. | None of these alternatives is correct. |
| Answer» B. much smaller than 0, if the correlation is negative | |
| 23. |
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. |
| Answer» B. the regression model | |
| 24. |
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__________ |
| A. | each beer consumed increases blood alcohol by 1.27% |
| B. | on average it takes 1.8 beers to increase blood alcohol content by 1% |
| C. | each beer consumed increases blood alcohol by an average of amount of 1.8% |
| D. | each beer consumed increases blood alcohol by exactly 0.018 |
| Answer» C. each beer consumed increases blood alcohol by an average of amount of 1.8% | |
| 25. |
SSE can never be _____________ |
| A. | larger than SST |
| B. | smaller than SST |
| C. | equal to 1 |
| D. | equal to zero |
| Answer» A. larger than SST | |
| 26. |
Regression modeling is a statistical framework for developing a mathematical equation that describes how __________ |
| A. | one explanatory and one or more response variables are related |
| B. | several explanatory and several response variables response are related |
| C. | one response and one or more explanatory variables are related |
| D. | All of these are correct. |
| Answer» C. one response and one or more explanatory variables are related | |
| 27. |
In regression analysis, the variable that is being predicted is the __________ |
| A. | response, or dependent, variable |
| B. | independent variable |
| C. | intervening variable |
| D. | is usually x |
| Answer» A. response, or dependent, variable | |
| 28. |
Regression analysis was applied to return rates of sparrowhawk colonies. Regression analysis was used to study the relationship between return rate (x: % of birds that return to the colony in a given year) and immigration rate (y: % of new adults that join the colony per year). The following regression equation was obtained) ! = 31.9 – 0.34x Based on the above estimated regression equation, if the return rate were to decrease by 10% the rate of immigration to the colony would________________ |
| A. | increase by 34% |
| B. | increase by 3.4% |
| C. | decrease by 0.34% |
| D. | decrease by 3.4% |
| Answer» B. increase by 3.4% | |
| 29. |
In least squares regression, which of the following is not a required assumption about the error term ε? ___________ |
| A. | The expected value of the error term is one. |
| B. | The variance of the error term is the same for all values of x. |
| C. | The values of the error term are independent. |
| D. | The error term is normally distributed) |
| Answer» A. The expected value of the error term is one. | |
| 30. |
Larger values of r 2 (R2 ) imply that the observations are more closely grouped about the __________ |
| A. | average value of the independent variables |
| B. | average value of the dependent variable |
| C. | least squares line |
| D. | origin |
| Answer» C. least squares line | |
| 31. |
In a regression analysis if r 2 = 1, then ___________ |
| A. | SSE must also be equal to one |
| B. | SSE must be equal to zero |
| C. | SSE can be any positive value |
| D. | SSE must be negative |
| Answer» B. SSE must be equal to zero | |
| 32. |
The coefficient of correlation____________ |
| A. | is the square of the coefficient of determination |
| B. | is the square root of the coefficient of determination |
| C. | is the same as r-square |
| D. | can never be negative |
| Answer» B. is the square root of the coefficient of determination | |
| 33. |
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. | all of the above (a-c) are correct |
| Answer» D. all of the above (a-c) are correct | |
| 34. |
In the case of an algebraic model for a straight line, if a value for the x variable is specified, then________ |
| A. | the exact value of the response variable can be computed |
| B. | the computed response to the independent value will always give a minimal residual |
| C. | the computed value of y will always be the best estimate of the mean response |
| D. | none of these alternatives is correct. |
| Answer» A. the exact value of the response variable can be computed | |
| 35. |
A regression analysis between sales (in $1000) and price (in dollars) resulted in the following equation: ! = 50,000 - 8X The above equation implies that an ________ |
| A. | increase of $1 in price is associated with a decrease of $8 in sales |
| B. | increase of $8 in price is associated with an increase of $8,000 in sales |
| C. | increase of $1 in price is associated with a decrease of $42,000 in sales |
| D. | increase of $1 in price is associated with a decrease of $8000 in sales |
| Answer» D. increase of $1 in price is associated with a decrease of $8000 in sales | |
| 36. |
In a regression and correlation analysis if r 2 = 1, then ___________ |
| A. | SSE = SST |
| B. | SSE = 1 |
| C. | SSR = SSE |
| D. | SSR = SST |
| Answer» D. SSR = SST | |
| 37. |
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 |
| Answer» C. could have either a positive or a negative slope | |
| 38. |
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. |
| Answer» C. there might not be any causal relationship between x and y | |
| 39. |
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 |
| Answer» B. can be either -1 or +1 | |
| 40. |
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 |
| Answer» D. can be any units | |
| 41. |
The data are the same as for question 4 above. 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 Suppose that the legal limit to drive is a blood alcohol content of 0.08. If Ricky consumed 5 beers the model would predict that he would be____________ |
| A. | 0.09 above the legal limit |
| B. | 0.0027 below the legal limit |
| C. | 0.0027 above the legal limit |
| D. | 0.0733 above the legal limit |
| Answer» B. 0.0027 below the legal limit | |
| 42. |
If the correlation coefficient is 0.8, the percentage of variation in the response variable explained by the variation in the explanatory variable is____________ |
| A. | 0.80% |
| B. | 80% |
| C. | 0.64% |
| D. | 64% |
| Answer» B. 80% | |
| 43. |
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 |
| Answer» D. can not be zero | |
| 44. |
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 |
| Answer» A. is 0.6561 | |
| 45. |
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. |
| Answer» B. is evidence for a cause-effect relationship between x and y | |
| 46. |
Regression analysis was applied between $ sales (y) and $ advertising (x) across all the branches of a major international corporation. The following regression function was obtained) ! = 5000 + 7.25x If the advertising budgets of two branches of the corporation differ by $30,000, then what will be the predicted difference in their sales? __________ |
| A. | $217,500 |
| B. | $222,500 |
| C. | $5000 |
| D. | $7.25 |
| Answer» A. $217,500 | |
| 47. |
Suppose the correlation coefficient between height (as measured in feet) versus weight (as measured in pounds) is 0.40. What is the correlation coefficient of height measured in inches versus weight measured in ounces? [12 inches = one foot; 16 ounces = one pound] _______ |
| A. | 0.40 |
| B. | 0.30 |
| C. | 0.533 |
| D. | cannot be determined from information given e. none of these |
| Answer» A. 0.40 | |
| 48. |
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 |
| Answer» A. the sign of the slope will change | |
| 49. |
Suppose that you have carried out a regression analysis where the total variance in the response is 133452 and the correlation coefficient was 0.85. The residual sums of squares is____________ |
| A. | 37032.92 |
| B. | 20017.8 |
| C. | 113434.2 |
| D. | 96419.07 |
| Answer» A. 37032.92 | |
| 50. |
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. | 1.5000 |
| Answer» B. 0.6000 | |
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