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🏫Uzbek school curriculum

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Term 1

Unit 1 Correlation and regression: correlation, scatter diagrams, Pearson’s and Spearman’s coefficients, regression and the least squares line; Unit 2 Advanced measurements in statistics: stem-and-leaf plots, quartiles and their graphs, the semi-interquartile range; Unit 3 Probability: random experiments and events, the axioms of probability, conditional probability and independent events

1Correlation and scatter diagramsCorrelation: direct and inverse relations between two variables, scatter diagrams and the scale of the correlation coefficient r from −1 to 1 2Pearson’s correlation coefficientPearson’s linear correlation coefficient: the formula, the table of x, y, x², y² and xy, and finding r from given sums 3Spearman’s rank correlationSpearman’s rank correlation coefficient: ranks, tied values, D² and the formula, and when to use it instead of Pearson’s 4Regression and the least squares lineRegression: predicting y from x, simple linear regression y = a + bx and the least squares method 5Using the regression lineUsing the regression line: predicting y, the error of a prediction, extrapolation and regression from given sums 6Stem-and-leaf plotsStem-and-leaf plots: building single and double plots with a key and reading the median, the mode and the range from them 7Quartiles of lists and stem-and-leaf plotsQuartiles of single data and of stem-and-leaf plots: Q1, Q2 and Q3 by their order, with the rule for going between two values 8Quartiles from frequency tablesQuartiles from a frequency table: ascending cumulative frequency, the quartile class and the formula, and the graphical method 9Box plots and the semi-interquartile rangeBox plots and the semi-interquartile range: the five numbers, drawing and reading boxes, and (Q3 − Q1) ÷ 2 from data, stem-and-leaf plots and frequency tables 10Random experiments and sample spacesRandom experiments and sample spaces: coin and dice tables, tree diagrams, drawing with and without replacement, and events 11Operations on events and equally likely outcomesOperations on events, mutually exclusive events and the probability of an event when the outcomes are equally likely 12The axioms of probability and their corollariesAxioms of probability and their corollaries: 0 ≤ P ≤ 1, P(S) = 1, additivity, P(A′), P(A − B) and P(A ∪ B), and solving problems 13Conditional probabilityConditional probability: the reduced sample space, P(A | B) = P(A ∩ B) ÷ P(B), the multiplication rule, two-way tables, tree and Venn diagrams 14Independent and dependent eventsIndependent and dependent events: the test P(A ∩ B) = P(A) × P(B), drawing with and without replacement, and independent against mutually exclusive 15Review of Term 1Term 1 review: correlation and regression, quartiles and spread, probability, conditional probability and independence

☰ Year plan · Statistics

Egypt›Secondary 3›Statistics›Week 4

Regression and the least squares line

Week 4 · Regression: predicting y from x, simple linear regression y = a + bx and the least squares method · 3 lessons

Lesson 1 Lesson 2 Lesson 3 Quiz8 Homework5

← PreviousWeek 4 · The formulas for b and a from the two normal equations, and writing the regression line from a small table Next →Week 4 · Homework

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