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John E. Freund S Mathematical Statistics With Applications (7th Edition) PDF.pdf Statistical modeling seeks to find relationships between dependent and independent variables. This can be useful in many areas of the business and social sciences, including business, engineering, medicine, government, and education. b. Mathematical statistics models relationships between variables that are statistical in nature. c. Mathematical statistics models the real world, while statistics models imaginary worlds. d. Mathematical statistics models the real world, while statistics models imaginary worlds. 2. Statistical Methods for Modeling a. Statistical models can be deterministic or stochastic. b. A deterministic model can be viewed as a computer program that generates the same results every time. c. A stochastic model may not have the same results each time. d. The most common model for describing a stochastic process is the linear regression model. e. The most common model for describing a stochastic process is the linear regression model. 3. General Linear Model for a. The regression model is a model of a continuous random variable. b. The most general regression model is the normal linear regression model. c. In the normal linear regression model the variance of the error term is assumed to be the same as the variance of the predictor variables. d. In the normal linear regression model the variance of the error term is assumed to be the same as the variance of the predictor variables. 4. Multiple Regression Model a. The normal linear regression model is also known as the multiple regression model. b. The normal linear regression model has an error term that has the same variance as the predictor variables. c. The normal linear regression model has an error term that has the same variance as the predictor variables. 5. The coefficient of determination R 2 b. The coefficient of determination R 2 measures the proportion of variance in the response that is explained by the explanatory variables. c. The coefficient of determination R 2 measures the proportion of variance in the response that is explained by the explanatory variables. 6. The coefficient of determination R 2 is not appropriate for a. A single explanatory variable. b. A single response variable. c. Multiple response variables. 7. Graphical representation of a. The line of best fit. b. A scatter plot. c. The regression line. d. The variance of the error term. e. The coefficient of determination R 2. 8. Residuals and Standard Errors c. Residuals are the difference between the observed value and the predicted value. d. Standard errors are the standard deviation of the estimated regression coefficient. e. Residual

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