{"product_id":"jacaranda-maths-quest-12-general-mathematics-vce-units-3-and-4-7e-learnon-and-print","title":"Jacaranda Maths Quest 12 General Mathematics VCE Units 3 and 4 7e learnON and Print","description":"\u003cp\u003eAbout This Resource vii\u003c\/p\u003e \u003cp\u003eAcknowledgements xiv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Investigating data distributions 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 2\u003c\/p\u003e \u003cp\u003e1.2 Types of data 3\u003c\/p\u003e \u003cp\u003e1.3 Stem plots 8\u003c\/p\u003e \u003cp\u003e1.4 Dot plots, frequency tables, histograms, bar charts and logarithmic scales 17\u003c\/p\u003e \u003cp\u003e1.5 Describing stem plots and histograms 32\u003c\/p\u003e \u003cp\u003e1.6 Summary statistics 39\u003c\/p\u003e \u003cp\u003e1.7 The five-number summary and boxplots 49\u003c\/p\u003e \u003cp\u003e1.8 The mean of a sample 58\u003c\/p\u003e \u003cp\u003e1.9 Standard deviation of a sample 65\u003c\/p\u003e \u003cp\u003e1.10 The 68–95–99�7% rule and z-scores 73\u003c\/p\u003e \u003cp\u003e1.11 Review 84\u003c\/p\u003e \u003cp\u003eAnswers 97\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Investigating associations between two variables 109\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 110\u003c\/p\u003e \u003cp\u003e2.2 Response and explanatory variables 111\u003c\/p\u003e \u003cp\u003e2.3 Contingency (two-way) frequency tables and segmented bar charts 114\u003c\/p\u003e \u003cp\u003e2.4 Back-to-back stem plots 123\u003c\/p\u003e \u003cp\u003e2.5 Parallel boxplots and dot plots 129\u003c\/p\u003e \u003cp\u003e2.6 Scatterplots 135\u003c\/p\u003e \u003cp\u003e2.7 Estimating and interpreting Pearson’s product–moment correlation coefficient 145\u003c\/p\u003e \u003cp\u003e2.8 Calculating r and the coefficient of determination, r 2 150\u003c\/p\u003e \u003cp\u003e2.9 Cause and effect 156\u003c\/p\u003e \u003cp\u003e2.10 Review 162\u003c\/p\u003e \u003cp\u003eAnswers 170\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Investigating and modelling linear associations 181\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 182\u003c\/p\u003e \u003cp\u003e3.2 Least squares line of best fit 183\u003c\/p\u003e \u003cp\u003e3.3 Interpretation, interpolation and extrapolation 191\u003c\/p\u003e \u003cp\u003e3.4 Residual analysis 199\u003c\/p\u003e \u003cp\u003e3.5 Transforming to linearity 208\u003c\/p\u003e \u003cp\u003e3.6 Review 220\u003c\/p\u003e \u003cp\u003eAnswers 229\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Investigating and modelling time series data 237\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 238\u003c\/p\u003e \u003cp\u003e4.2 Time series plots and trends 239\u003c\/p\u003e \u003cp\u003e4.3 Fitting the least squares line and forecasting 249\u003c\/p\u003e \u003cp\u003e4.4 Smoothing using the moving mean with an odd number of points 258\u003c\/p\u003e \u003cp\u003e4.5 Smoothing using the moving mean with an even number of points 264\u003c\/p\u003e \u003cp\u003e4.6 Median smoothing from a graph 270\u003c\/p\u003e \u003cp\u003e4.7 Seasonal adjustment 276\u003c\/p\u003e \u003cp\u003e4.8 Review 289\u003c\/p\u003e \u003cp\u003eAnswers 299\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Modelling depreciation of assets using recursion 319\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 320\u003c\/p\u003e \u003cp\u003e5.2 A first-order linear recurrence relation 321\u003c\/p\u003e \u003cp\u003e5.3 Modelling flat rate depreciation with a recurrence relation 325\u003c\/p\u003e \u003cp\u003e5.4 Modelling reducing balance depreciation with a recurrence relation 331\u003c\/p\u003e \u003cp\u003e5.5 Modelling unit cost depreciation with a recurrence relation 339\u003c\/p\u003e \u003cp\u003e5.6 Review 348\u003c\/p\u003e \u003cp\u003eAnswers 353\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Modelling compound interest investments and loans using recursion 359\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 360\u003c\/p\u003e \u003cp\u003e6.2 Simple interest 361\u003c\/p\u003e \u003cp\u003e6.3 Compound interest as a geometric recurrence relation 367\u003c\/p\u003e \u003cp\u003e6.4 Compound interest using a rule 372\u003c\/p\u003e \u003cp\u003e6.5 Calculating rate or time for compound interest 378\u003c\/p\u003e \u003cp\u003e6.6 Nominal and effective annual interest rate 383\u003c\/p\u003e \u003cp\u003e6.7 Review 388\u003c\/p\u003e \u003cp\u003eAnswers 392\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Modelling reducing balance loans, annuities and perpetuities using recursion 395\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 396\u003c\/p\u003e \u003cp\u003e7.2 Modelling reducing balance loans with recurrence relations 397\u003c\/p\u003e \u003cp\u003e7.3 Solving reducing balance loan problems using finance solver 404\u003c\/p\u003e \u003cp\u003e7.4 The effect of rate and repayment changes on reducing balance loans 417\u003c\/p\u003e \u003cp\u003e7.5 Annuities and perpetuities 430\u003c\/p\u003e \u003cp\u003e7.6 Annuity investments 441\u003c\/p\u003e \u003cp\u003e7.7 Review 450\u003c\/p\u003e \u003cp\u003eAnswers 456\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Matrices 461\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 462\u003c\/p\u003e \u003cp\u003e8.2 Matrix representation 463\u003c\/p\u003e \u003cp\u003e8.3 Addition, subtraction and scalar operations with matrices 471\u003c\/p\u003e \u003cp\u003e8.4 Multiplying matrices 483\u003c\/p\u003e \u003cp\u003e8.5 The inverse of a matrix and its determinant 497\u003c\/p\u003e \u003cp\u003e8.6 Dominance and communication matrices 505\u003c\/p\u003e \u003cp\u003e8.7 Transition matrices and Leslie matrices 516\u003c\/p\u003e \u003cp\u003e8.8 Review 537\u003c\/p\u003e \u003cp\u003eAnswers 547\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Undirected graphs, networks and trees 555\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 556\u003c\/p\u003e \u003cp\u003e9.2 Basic concepts of a network 557\u003c\/p\u003e \u003cp\u003e9.3 Planar graphs and Euler’s formula 567\u003c\/p\u003e \u003cp\u003e9.4 Walks, trails, paths, cycles and circuits 576\u003c\/p\u003e \u003cp\u003e9.5 Trees and their applications 587\u003c\/p\u003e \u003cp\u003e9.6 Review 603\u003c\/p\u003e \u003cp\u003eAnswers 611\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Directed graphs and network flow 617\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 618\u003c\/p\u003e \u003cp\u003e10.2 Precedence tables and activity networks 619\u003c\/p\u003e \u003cp\u003e10.3 Critical path analysis with backward scanning and crashing 630\u003c\/p\u003e \u003cp\u003e10.4 Flow problems 647\u003c\/p\u003e \u003cp\u003e10.5 Bipartite graphs and allocation problems 659\u003c\/p\u003e \u003cp\u003e10.6 Review 672\u003c\/p\u003e \u003cp\u003eAnswers 683\u003c\/p\u003e \u003cp\u003eGlossary 691\u003c\/p\u003e \u003cp\u003eIndex 697\u003c\/p\u003e","brand":"Geoff Phillips","offers":[{"title":"Default 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