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Math 1530-03, Rodger Green III
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Chapter 7 The Central Limit Theorem for Means, and the Central Limit Theorem for Sums. Both are concerned with drawing finite samples (with size n) from a population with a known mean (μ) and standard deviation (σ). Central Limit Theorem of Means:
Input the parameters into the normalcdf() function as follows: normalcdf(85,92,0,15/√31) as the format for normalcdf function is normalcdf(lower value, upper value, μ, 𝜎/√𝑛). After pressing enter, the calculator displays a value closer to 0.7368.
Chapter 12
Linear regression: Examples The regression equation is y hat Value = 441.0 - 27.15*Age, Where: S = 21.7349 R-Sq = 85.6%. Calculate r as √0.856 = -0.9254 and the sign is negative because the slope is negative. Vocabulary terms Regression; regression line; regression equation: ŷ= a + bx = bx + a (in text). Slope of line = b (in text). y intercept = a (in text). y is the OBSERVED value). y hat (or y ̂ ) is the PREDICTED value. Table of synonyms
x y
Independent Dependent
Explanatory Response
Predictor Predicted
Input Output/outcome
Cause Effect
Correlation: Correlation coefficient (aka “r” value aka Pearson number) Coefficient of determination (aka r^2 value)
Outliers Review: three types: Regression line outliers B/W plot outliers Normal curve outliers Showing association: categorical vs categorical categorical vs quantitative quantitative vs quantitative