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# True false 3 a simple linear regression model is an

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Unformatted text preview: Choice Questions 21. When using simple linear regression, we would like to use confidence intervals for the _____ and prediction intervals for the _____ at a given value of x. A. individual y-value, mean y-value B. Mean y-value, individual y-value C. Slope, mean slope D. y-intercept, mean y-intercept 22. The point estimate of the variance in a regression model is A. SSE B. b0 C. MSE D. b1 23. In a simple linear regression analysis, the correlation coefficient (a) and the slope (b) _____ have the same sign. A. always B. sometimes C. never 24. All of the following are assumptions of the error terms in the simple linear regression model except A. Errors are normally distributed. B. Error terms have a mean of zero. C. Error terms have a constant variance. D. Error terms are dependent on each other. 25. _____ measures the strength of the linear relationship between the dependent and the independent variable. A. Correlation coefficient B. Distance value C. Y Intercept D. Residual 1-1144 Chapter 01 - An Introduction to Business Statistics 26. The least squares regression line minimizes the sum of the A. Differences between actual and predicted Y values B. Absolute deviations between actual and predicted Y values C. Absolute deviations between actual and predicted X values D. Squared differences between actual and predicted Y values E. Squared differences between actual and predicted X values 27. Which of the following is a violation of one of the major assumptions of the simple regression model? A. The error terms are independent of each other. B. Histogram of the residuals form a bell-shaped, symmetrical curve. C. The error terms show no pattern. D. As the value of x increases, the value of the error term also increases. 28. For the same value X (independent variable), the confidence interval for the average value of Y (dependent variable) is __________________ the prediction interval for the individual value of Y. A. Larger than B. Smaller than C. Same as D. Sometimes larger than sometimes smaller than 29. The ___________ the r2, and the __________ the s (standard error), the stronger the relationship between the dependent variable and the independent variable. A. Higher, lower B. Lower, higher C. Lower, lower D. Higher, higher 30. In simple regression analysis, the standard error is ___________ greater than the standard deviation of y values. A. Always B. Sometimes C. Never 1-1145 Chapter 01 - An Introduction to Business Statistics 31. In simple regression analysis the quantity that gives the amount by which Y (dependent variable) changes for a unit change in X (independent variable) is called the A. Coefficient of determination B. Slope of the regression line C. Y intercept of the regression line D. Correlation coefficient E. Standard error 32. In simple regression analysis, the quantity squares. A. Total B. Explained C. Unexplained D. Error E. Standard Error is called the __________ sum of 33. A simple regression analysis with 20 observations would yield ________ degrees of freedom error and _________ degrees of freedom total. A. 1, 20 B. 18, 19 C. 19, 20 D. 1, 19 E. 18, 20 34. The correlation coefficient may assume any value between A. 0 and 1 B. -∞ and ∞ C. 0 and 8 D. -1, and 1 E. -1, and 0 1-1146 Chapter 01 - An Introduction to Business Statistics 35. The following results were obtained as a part of simple regression analysis: r2= .9162 F statistic from the F table = 3.59 Calculated value of F from the ANOVA table = 81.87 = .05 p-value = .000 The null hypothesis of no linear relationship between the dependent variable and the independent variable A. is rejected B. cannot be tested with the given information C. is not rejected D. is not an appropriate null hypothesis for this situation 36. In simple regression analysis, if the correlation coefficient is a positive value, then A. The Y intercept must also be a positive value. B. The coefficient of determination can be either positive or negative, depending on the value of the slope. C. The least squares regression equation could either have a positive or a negative slope. D. The slope of the regression line must also be positive. E. The standard error of estimate can either have a positive or a negative value. 37. In a simple regression analysis for a given data set, if the null hypothesis β = 0 is rejected, then the null hypothesis ρ = 0 is also rejected. This statement is ___________ true. A. Always B. Never C. Sometimes 1-1147 Chapter 01 - An Introduction to Business Statistics 38. The following results were obtained from a simple regression analysis: = 37.2895 - (1.2024)X r = .6744 sb = .2934 For each unit change in X (independent variable), the estimated change in Y (dependent variable) is equal to: A. -1.2024 B. .6774 C. 37.2895 D. .2934 2 39. The following results were obtained from a simple regression analysis: = 37.2895 - (1.2024)X r = .6744 sb = .2934 When X (independent variable) is equal to zero, the estimated value of Y (dependent variable) is equal to: A. -1.2024 B. .6774 C. 37.2895 D. .2934 2 40. The following results...
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