A Pathway to Introductory Statistics

A Pathway to Introductory Statistics, 2nd edition

  • Jay Lehmann

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Overview

A Pathway to Introductory Statistics helps you reason statistically, get familiar with statistical vocabulary and get comfortable working with authentic data sets.

Published by Pearson (August 25th 2020) - Copyright © 2021

ISBN-13: 9780136880967

Subject: Developmental Math

Category: Pathways

Table of contents

1. Performing Operations and Evaluating Expressions

1.1 Variables, Constants, Plotting Points, and Inequalities
1.2 Expressions
1.3 Operations with Fractions and Proportions; Converting Units
1.4 Absolute Value and Adding Real Numbers
1.5 Change in a Quantity and Subtracting Real Numbers
1.6 Ratios, Percents, and Multiplying and Dividing Real Numbers
1.7 Exponents, Square Roots, Order of Operations, and Scientific Notation
Hands-On Projects: Stocks Project

2. Designing Observational Studies and Experiments

2.1 Simple Random Sampling
2.2 Systematic, Stratified, and Cluster Sampling
2.3 Observational Studies and Experiments
Hands-On Projects: Survey about Proportions Project; Online Report Project

3. Constructing Graphical and Tabular Displays of Data 

3.1 Frequency Tables, Relative Frequency Tables, and Bar Graphs
3.2 Pie Charts and Two-Way Tables
3.3 Dotplots, Stemplots, and Time-Series Plots
3.4 Histograms
3.5 Misleading Graphical Displays of Data
Hands-On Projects: Critical-Thinking Project

4. Summarizing Data Numerically

4.1 Measures of Center
4.2 Measures of Spread
4.3 Boxplots
Hands-On Projects: Comparison Shopping of Cars Project

5. Computing Probabilities

5.1 Meaning of Probability
5.2 Complement and Addition Rules
5.3 Conditional Probability and the Multiplication Rule for Independent Events
5.4 Discrete Random Variables
5.5 Finding Probabilities for a Normal Distribution
5.6 Finding Values of Variables for Normal Distributions
Hands-On Projects: Heights of Adults Project

6. Constructing Scatterplots and Drawing Linear Models

6.1 Scatterplots
6.2 Determining the Four Characteristics of an Association
6.3 Modeling Linear Associations
Hands-On Projects: Climate Change Project
Linear Sketch Project: Topic of Your Choice 421

7. Graphing Equations of Lines and Linear Models; Rate of Change

7.1 Graphing Equations of Lines and Linear Models
7.2 Rate of Change and Slope of a Line
7.3 Using Slope to Graph Equations of Lines and Linear Models
7.4 Functions
Hands-On Projects: Climate Change Project; Workout Project

8. Solving Linear Equations and Inequalities to Make Predictions 

8.1 Simplifying Expressions
8.2 Solving Linear Equations in One Variable
8.3 Solving Linear Equations to Make Predictions
8.4 Solving Formulas and Evaluating Summation Notation
8.5 Solving Linear Inequalities to Make Predictions

9. Finding Equations of Linear Models 

9.1 Using Two Points to Find an Equation of a Line
9.2 Using Two Points to Find an Equation of a Linear Model
9.3 Linear Regression Model
Hands-On Projects: Climate Change Project; Golf Ball Project;
Linear Project: Topic of Your Choice

10. Using Exponential Models to Make Predictions 

10.1 Integer Exponents
10.2 Rational Exponents
10.3 Graphing Exponential Models
10.4 Using Two Points to Find an Equation of an Exponential Model
10.5 Exponential Regression Model
Hands-On Projects: Cooling Water Project
Exponential Project: Topic of Your Choice

11. Logarithmic Functions (Online Only)

11.1 Composite Functions
11.2 Inverse Functions
11.3 Logarithmic Functions
11.4 Properties of Logarithms
11.5 Using the Power Property with Exponential Models to Make Predictions
11.6 More Properties of Logarithms
11.7 Natural Logarithms
Taking It to the Lab: China and India Populations Lab
Folding Paper Lab
Exponential/Logarithmic Lab: Topic of Your Choice

12. Systems of Linear Equations and Systems of Linear Inequalities (Online Only)

12.1 Using Graphs and Tables to Solve Systems
12.2 Using Substitution to Solve Systems
12.3 Using Elimination to Solve Systems
12.4 Using Systems to Model Data
12.5 Perimeter, Value, Interest, and Mixture Problems
12.6 Linear Inequalities in Two Variables: Systems of Linear Inequalities in Two Variables: Systems of Linear Inequalities in Two Variables
Taking It to the Lab: Climate Change Lab (continued from Chapter 8)
Sports Lab
Truck Lab
Chapter Summary
Key Points of Chapter 12

Appendices

A. Using A TI-84 Graphing Calculator
B. Using StatCrunch
C. Standard Normal Distribution Table

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