1. Use the Chi-Square statistic to test hypotheses about categorical variables.
2. Compute the linear regression line using the Method of Least Squares and use the regression line for predictions.
3. Compute the coefficient of Determination for given data sets and explain its meaning in the context of specific problems.
4. Compute and explain the meaning of confidence intervals for slope and intercept in the simple regression model.
5. Test hypotheses concerning slope and intercept in the simple regression model.
6. Use analysis of variance (ANOVA) to test claims about population means.
7. Compute Pearson’s correlation coefficient and explain its meaning in the context of specific problems.
8. Test hypotheses for multiple regression models using the t-statistic and F-statistic.
9. Identify and separate four components of time series in a multiplicative model.
10. Forecast future value of the time series using moving average, exponential smoothing, and Holt Winters’ techniques for forecasting future values of the time series.
11. Identify three components of a decision-making situation and solve decision problems using maxi-max, maxi-min, the expected pay off and expected opportunity loss criteria.
12. Compute the expected value of perfect information and apply it to specific decision problems.
13. Formulate and Solve Linear Programming problems.
14. Conduct a Sensitivity Analysis.9. Calculate a Moving Average and forecast Future Value of the Time Series using the Logarithmic Trend equation and the Least Squares method.
10. Identify three components of a Decision-Making situation and solve decision problems using Maximax, Maximin, Expected Payoff, and Opportunity Loss criteria.
11. Compute the Expected Value of Perfect Information and apply it to specific decision problems.
12. Conduct Sensitivity analysis in specific problem situations.
13. Apply the concepts addressed in the course to problem solving including problems related to aviation/aerospace.
14. Use computer software to perform mathematical and statistical analyses.
15. Communicate the results of mathematical and statistical analyses.