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# The simple coefficient of determination is the

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Unformatted text preview: nking Bloom's: Knowledge Difficulty: Easy Learning Objective: 1 Topic: Simple Linear Regression 1-1203 Chapter 01 - An Introduction to Business Statistics 18. A significant positive correlation between X and Y implies that changes in X cause Y to change. FALSE AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 6 Topic: Correlation 19. The standard error of the estimate (standard error) is the estimated standard deviation of the distribution of the independent variable (X) for all values of the dependent variable (Y). FALSE AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Hard Learning Objective: 3 Topic: Simple Linear Regression 20. The estimated simple linear regression equation minimizes the sum of the squared deviations between each value of Y and the line. TRUE AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Hard Learning Objective: 3 Topic: Simple Linear Regression 1-1204 Chapter 01 - An Introduction to Business Statistics Multiple 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 AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 5 Topic: Confidence & prediction intervals 22. The point estimate of the variance in a regression model is A. SSE B. b0 C. MSE D. b1 AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 3 Topic: Simple Linear Regression 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 AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 6 Topic: Correlation 1-1205 Chapter 01 - An Introduction to Business Statistics 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. AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 3 Topic: Simple Linear Regression model assumptions 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 AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 6 Topic: Correlation 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 AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 2 Topic: Simple Linear Regression 1-1206 Chapter 01 - An Introduction to Business Statistics 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. AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 3 Topic: Simple Linear Regression model assumptions 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 AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 5 Topic: Confidence & prediction intervals 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 AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 6 Topic: Coefficient of determination 1-1207 Chapter 01 - An Introduction to Business Statistics 30. In simple regression analysis, the standard error is ___________ greater than the standard deviation of y values. A. Always B. Sometimes C. Never AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 3 Topic: Simple Linear Regression 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...
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