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Master measures of center, variation, and correlation analysis
Week 2 dives into descriptive statistics with measures of central tendency (mean, median, mode), measures of variation (range, variance, standard deviation), and measures of position (percentiles, quartiles, z-scores). You'll also learn linear regression and correlation, including how to interpret the correlation coefficient and coefficient of determination, find regression equations, and make predictions using the regression model.
Students often confuse population standard deviation (σ) with sample standard deviation (s), or forget to square deviations before summing. In regression, misinterpreting the correlation coefficient's strength or confusing correlation with causation are frequent mistakes. Our materials include color-coded formulas showing when to use n vs n-1 and clear examples distinguishing correlation from causation.
You receive detailed solutions for MyStatLab Homework 2, step-by-step guides for calculating all descriptive statistics, Excel tutorials for regression analysis, and preparation materials for Quiz 1 (Week 2 Critique worth 9% of your grade). We also provide forum posts connecting regression to real applications like sales forecasting or trend analysis.
Use n for population standard deviation (σ) when you have data for the entire population. Use n-1 for sample standard deviation (s) when working with a sample. Most MATH 120 problems use sample standard deviation (n-1) because you're typically working with sample data, not entire populations.
The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables. Values range from -1 to +1. Values near ±1 indicate strong linear relationships; values near 0 indicate weak relationships. Positive r means variables increase together; negative r means one increases as the other decreases.
Quiz 1 covers Weeks 1-2 material and is worth 9% of your grade. Review all homework problems, practice calculating descriptive statistics by hand and with Excel, and memorize key formulas. The quiz is 25 questions, open-book/open-note, so prepare a formula sheet beforehand. We provide practice quizzes that mirror the actual format.
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