Канал: Coleman Ross

Least-Squares Regression Line

Least-Squares Regression Line

Slope and y-intercept of the Least-Squares Regression Line

Slope and y-intercept of the Least-Squares Regression Line

Correlation and Causation

Correlation and Causation

Linear Correlation Coefficient

Linear Correlation Coefficient

Does a Linear Relation Exist?

Does a Linear Relation Exist?

Scatter Diagrams / Plots

Scatter Diagrams / Plots

Chapter 4 Overview

Chapter 4 Overview

Which Hypothesis Test?

Which Hypothesis Test?

Test Hypotheses about a Population Mean

Test Hypotheses about a Population Mean

Test Hypotheses about a Population Proportion

Test Hypotheses about a Population Proportion

Test Hypotheses about a Population Proportion: Small Sample Size

Test Hypotheses about a Population Proportion: Small Sample Size

Hypothesis Testing: Hypothesis Test Conclusions

Hypothesis Testing: Hypothesis Test Conclusions

The Logic of Hypothesis Testing

The Logic of Hypothesis Testing

Hypothesis Testing: Type I and Type II Errors

Hypothesis Testing: Type I and Type II Errors

Hypothesis Testing: Null and Alternative Hypotheses

Hypothesis Testing: Null and Alternative Hypotheses

Chapter 10 Overview

Chapter 10 Overview

Sampling Distributions Reference Sheet

Sampling Distributions Reference Sheet

Sample Proportion Probabilities

Sample Proportion Probabilities

Distribution of the Sample Proportion

Distribution of the Sample Proportion

(Example 3)

(Example 3)

Sample Mean: Non-Normal Population

Sample Mean: Non-Normal Population

Sample Mean: Normal Population

Sample Mean: Normal Population

Point Estimate for a Population Mean

Point Estimate for a Population Mean

Assessing Normality for Population Means

Assessing Normality for Population Means

Confidence Intervals for Population Means

Confidence Intervals for Population Means

Sample Sizes for Population Means

Sample Sizes for Population Means

Confidence Interval: Proportion or Mean?

Confidence Interval: Proportion or Mean?

Confidence Intervals for Population Proportions

Confidence Intervals for Population Proportions

Sample Sizes for Population Proportions

Sample Sizes for Population Proportions

Point Estimate for a Population Proportion

Point Estimate for a Population Proportion

Fundamental Counting Principle

Fundamental Counting Principle

Multiplication Rule for Independent Events

Multiplication Rule for Independent Events

Addition Rule for Independent Events

Addition Rule for Independent Events

Complement Rule for Independent Events

Complement Rule for Independent Events

Permutations and Combinations

Permutations and Combinations

Mean of a Discrete Random Variable

Mean of a Discrete Random Variable

Discrete and Continuous Random Variables

Discrete and Continuous Random Variables

Discrete Probability Distributions

Discrete Probability Distributions

Discrete Probability Distribution Graphs

Discrete Probability Distribution Graphs

Standard Deviation of a Discrete Random Variable

Standard Deviation of a Discrete Random Variable

Binomial Experiments

Binomial Experiments

Probabilities of Binomial Experiments

Probabilities of Binomial Experiments

Mean and Standard Deviation of a Binomial Random Variable

Mean and Standard Deviation of a Binomial Random Variable

Graph a Binomial Probability Distribution

Graph a Binomial Probability Distribution

Normal Distribution: Properties

Normal Distribution: Properties

Normal Distribution: Empirical Rule

Normal Distribution: Empirical Rule

Area Under a Normal Curve

Area Under a Normal Curve

Value of a Normal Random Variable

Value of a Normal Random Variable

Assessing Normality

Assessing Normality

Random Processes and the Law of Large Numbers

Random Processes and the Law of Large Numbers

Empirical Versus Classical Probability Methods

Empirical Versus Classical Probability Methods

Rules of Probability

Rules of Probability

Quartile

Quartile

Boxplots

Boxplots

Outliers

Outliers

Five-number Summary

Five-number Summary

Z-scores

Z-scores

Interquartile Range

Interquartile Range

Percentile

Percentile

Empirical Rule

Empirical Rule

Measures of Dispersion

Measures of Dispersion

Measures of Central Tendency

Measures of Central Tendency

Distribution Shapes

Distribution Shapes

Dot Plots

Dot Plots

Organize Quantitative Data

Organize Quantitative Data

Histograms

Histograms

Pie Charts

Pie Charts

Bar Graphs

Bar Graphs

Qualitative Data

Qualitative Data

Solving Applied Problems Modeled by Rational Functions

Solving Applied Problems Modeled by Rational Functions

Solving Rational Functions Graphically

Solving Rational Functions Graphically

Horizontal Asymptotes of Rational Functions

Horizontal Asymptotes of Rational Functions

Vertical Asymptotes of Rational Functions

Vertical Asymptotes of Rational Functions

Rational Functions

Rational Functions

Modeling Cubic Functions

Modeling Cubic Functions

Cubic Polynomials

Cubic Polynomials

Loan Repayment

Loan Repayment

Compound Interest

Compound Interest

Ordinary Annuities

Ordinary Annuities

Exponential Growth and Decay

Exponential Growth and Decay

Solve Exponential and Logarithmic Equations Algebraically

Solve Exponential and Logarithmic Equations Algebraically

Graphing Logarithmic Functions

Graphing Logarithmic Functions

Exponential and Logarithmic Models

Exponential and Logarithmic Models

Exponential Growth and Decay

Exponential Growth and Decay

Euler’s Number

Euler’s Number

Exponential Functions

Exponential Functions

Inverse Functions

Inverse Functions

Absolute Value Functions

Absolute Value Functions

Solving Power and Root Equations

Solving Power and Root Equations

Root Functions

Root Functions

Power Functions

Power Functions

Parabolas - Determine the Vertex Form

Parabolas - Determine the Vertex Form

Linear Inequalities

Linear Inequalities

Polynomial Inequalities

Polynomial Inequalities

Rational Inequalities

Rational Inequalities

Exponential and Logarithmic Equations

Exponential and Logarithmic Equations

Solving Polynomial Equations

Solving Polynomial Equations

Rational Zero Theorem

Rational Zero Theorem

Vertical Asymptotes and Holes of Rational Functions

Vertical Asymptotes and Holes of Rational Functions

Domains of Rational Functions

Domains of Rational Functions

Horizontal Asymptotes of Rational Functions

Horizontal Asymptotes of Rational Functions

Graph Rational Functions

Graph Rational Functions

Domains of Logarithmic Functions

Domains of Logarithmic Functions

Expand and Condense Logarithmic Expressions

Expand and Condense Logarithmic Expressions

End Behavior of Polynomial Functions

End Behavior of Polynomial Functions

Zeros of Polynomial Functions

Zeros of Polynomial Functions

Multiplicities of Zeros of Polynomial Functions

Multiplicities of Zeros of Polynomial Functions

Rational Zero Theorem

Rational Zero Theorem

Graph Polynomial Functions

Graph Polynomial Functions

Degrees and Turning Points of Polynomial Functions

Degrees and Turning Points of Polynomial Functions

Quadratic Solutions

Quadratic Solutions

Polynomial Functions

Polynomial Functions

Graphs of Polynomial Functions

Graphs of Polynomial Functions

Inconsistent and Dependent Systems

Inconsistent and Dependent Systems

Function Domains

Function Domains

Solving Quadratics

Solving Quadratics

Quadratics

Quadratics

Imaginary Numbers

Imaginary Numbers

Composite Functions

Composite Functions

Difference Quotient

Difference Quotient

Graph Symmetry

Graph Symmetry

Domain, Ranges, and Intercepts of Functions

Domain, Ranges, and Intercepts of Functions

Function Definition

Function Definition

Square Roots

Square Roots

Laws of Exponents

Laws of Exponents

Real Number System

Real Number System

Inconsistent and Dependent Systems (Matrices)

Inconsistent and Dependent Systems (Matrices)

Solving Linear Systems Using Matrices

Solving Linear Systems Using Matrices

Augmented Matrices

Augmented Matrices

Solve Systems of Linear Equations in Three Variables

Solve Systems of Linear Equations in Three Variables

Systems of Linear Equations in Three Variables

Systems of Linear Equations in Three Variables

Linear Systems Application Problems

Linear Systems Application Problems

Inconsistent and Dependent Systems

Inconsistent and Dependent Systems

Solve Linear Systems by Addition

Solve Linear Systems by Addition

Solve Linear Systems by Substitution

Solve Linear Systems by Substitution

Solve Linear Systems by Graphing

Solve Linear Systems by Graphing

Linear Systems

Linear Systems

Exponential Growth and Decay

Exponential Growth and Decay

Exponential and Logarithmic Equations

Exponential and Logarithmic Equations

Solve Logarithmic Equations Algebraically

Solve Logarithmic Equations Algebraically

Common and Natural Logarithms

Common and Natural Logarithms

Expand and Condense Logarithmic Expressions

Expand and Condense Logarithmic Expressions

Properties of Logarithms

Properties of Logarithms

Graphing Logarithmic Functions

Graphing Logarithmic Functions

Exponential Functions and Logarithmic Functions

Exponential Functions and Logarithmic Functions

Domains of Logarithmic Functions

Domains of Logarithmic Functions

Compound Interest

Compound Interest

Graphing Exponential Functions

Graphing Exponential Functions

Evaluate Exponential Functions

Evaluate Exponential Functions

Graphs of Inverse Functions

Graphs of Inverse Functions

Horizontal Line Test

Horizontal Line Test

Find the Inverse of a Function

Find the Inverse of a Function

Inverse Functions

Inverse Functions

Slant Asymptotes of Rational Functions

Slant Asymptotes of Rational Functions

Graph Rational Functions

Graph Rational Functions

Horizontal Asymptotes of Rational Functions

Horizontal Asymptotes of Rational Functions

Vertical Asymptotes of Rational Functions

Vertical Asymptotes of Rational Functions

Domains of Rational Functions

Domains of Rational Functions

Solving Polynomial Equations

Solving Polynomial Equations

Dividing Polynomials Using Long Division

Dividing Polynomials Using Long Division

Applications of Quadratic Functions

Applications of Quadratic Functions

Minimum and Maximum Values of Quadratic Functions

Minimum and Maximum Values of Quadratic Functions

Graph Parabolas - Vertex Form

Graph Parabolas - Vertex Form

Graph Parabolas - General/Standard Form

Graph Parabolas - General/Standard Form

Parabolas

Parabolas

Rational Zero Theorem

Rational Zero Theorem

Zeros of Polynomial Functions

Zeros of Polynomial Functions

Factor Theorem

Factor Theorem

Dividing Polynomials Using Synthetic Division

Dividing Polynomials Using Synthetic Division

Remainder Theorem

Remainder Theorem

Decomposing Functions

Decomposing Functions

Composite Function Domains

Composite Function Domains

Composite Functions

Composite Functions

Combine Functions

Combine Functions

Function Domains

Function Domains

Vertical and Horizontal Stretching and Shrinking of Graphs

Vertical and Horizontal Stretching and Shrinking of Graphs

Reflections of Graphs

Reflections of Graphs

Vertical and Horizontal Shifts of Graphs

Vertical and Horizontal Shifts of Graphs

Graphs of Common Functions

Graphs of Common Functions

Average Rate of Change of a Function

Average Rate of Change of a Function

Parallel and Perpendicular Lines

Parallel and Perpendicular Lines

Rate of Change

Rate of Change

Slope-Intercept Form of the Equation of a Line

Slope-Intercept Form of the Equation of a Line

Modeling Data with Linear Functions

Modeling Data with Linear Functions

General Form of the Equation of a Line

General Form of the Equation of a Line

Slope

Slope

Point-Slope Form of the Equation of a Line

Point-Slope Form of the Equation of a Line

Piecewise Functions

Piecewise Functions

Multiplicities of Zeros of Polynomial Functions

Multiplicities of Zeros of Polynomial Functions

Graph Polynomial Functions

Graph Polynomial Functions

Degrees and Turning Points of Polynomial Functions

Degrees and Turning Points of Polynomial Functions

Difference Quotient

Difference Quotient

Graph Symmetry

Graph Symmetry

Even and Odd Functions

Even and Odd Functions

Relative Maxima and Minima of Functions

Relative Maxima and Minima of Functions

Increasing and Decreasing Functions

Increasing and Decreasing Functions

Domains, Ranges, and Intercepts of Functions

Domains, Ranges, and Intercepts of Functions

Vertical Line Test

Vertical Line Test

Evaluate a Function

Evaluate a Function

Graph of a Function

Graph of a Function