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Chi-square goodness-of-fit test
Used when data are frequencies. Tests whether observed frequencies match expected frequencies
Observed frequency
actual data count
Expected frequency
predicted count if the null hypothesis is true
Chi-Square
non-numerical tests and categorical variables
Multiple Regression
Predicts Y from multiple predictors (X1, X2, X3…)
Partial regression coefficient
How much a predictor affects Y after controlling for other predictors
R-squared
Proportion of variance in Y explained by all predictors together
Why you can’t add R-squared values
Because predictors often overlap in the variance they explain
Multicollinearity
Predictors are too highly correlated with each other leading to unstable regression