Introductory StatisticsMathematics and Statistics
Regression (Distance from School)
- The student will calculate and construct the line of best fit between two variables.
- The student will evaluate the relationship between two variables to determine if that relationship is significant.
Collect the DataUse eight members of your class for the sample. Collect bivariate data (distance an individual lives from school, the cost of supplies for the current term).
- Complete the table.
Distance from school Cost of supplies this term
- Which variable should be the dependent variable and which should be the independent variable? Why?
- Graph “distance” vs. “cost.” Plot the points on the graph. Label both axes with words. Scale both axes.
Analyze the DataEnter your data into your calculator or computer. Write the linear equation, rounding to four decimal places.
- Calculate the following:
- a = ______
- b = ______
- correlation = ______
- n = ______
- equation: ŷ = ______
- Is the correlation significant? Why or why not? (Answer in one to three complete sentences.)
- Supply an answer for the following senarios:
- For a person who lives eight miles from campus, predict the total cost of supplies this term:
- For a person who lives eighty miles from campus, predict the total cost of supplies this term:
- Obtain the graph on your calculator or computer. Sketch the regression line.
- Answer each question in complete sentences.
- Does the line seem to fit the data? Why?
- What does the correlation imply about the relationship between the distance and the cost?
- Are there any outliers? If so, which point is an outlier?
- Should the outlier, if it exists, be removed? Why or why not?
- Introductory Statistics
- Sampling and Data
- Descriptive Statistics
- Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs
- Histograms, Frequency Polygons, and Time Series Graphs
- Measures of the Location of the Data
- Box Plots
- Measures of the Center of the Data
- Skewness and the Mean, Median, and Mode
- Measures of the Spread of the Data
- Descriptive Statistics
- Probability Topics
- Discrete Random Variables
- Probability Distribution Function (PDF) for a Discrete Random Variable
- Mean or Expected Value and Standard Deviation
- Binomial Distribution
- Geometric Distribution
- Hypergeometric Distribution
- Poisson Distribution
- Discrete Distribution (Playing Card Experiment)
- Discrete Distribution (Lucky Dice Experiment)
- Continuous Random Variables
- The Normal Distribution
- The Central Limit Theorem
- Confidence Intervals
- Hypothesis Testing with One Sample
- Hypothesis Testing with Two Samples
- The Chi-Square Distribution
- Linear Regression and Correlation
- F Distribution and One-Way ANOVA
- Appendix A: Review Exercises (Ch 3-13)
- Appendix B: Practice Tests (1-4) and Final Exams
- Appendix C: Data Sets
- Appendix D: Group and Partner Projects
- Appendix E: Solution Sheets
- Appendix F: Mathematical Phrases, Symbols, and Formulas
- Appendix G: Notes for the TI-83, 83+, 84, 84+ Calculators
- Appendix H: Tables