justifying-claim-about-slope-regression-model-based-on-confidence-interval

AP Statistics

Dive into unit 1 of AP Statistics: Exploring One Variable Data! Start the course by learning about displaying and describing categorical data, normal distributions, and analyzing graphs. With these helpful study guides, review videos, and slides, you'll be prepared to do well on the AP exam!

Unit 1 – Exploring One-Variable Data

1.5 Representing a Quantitative Variable with Graphs

1.7 Summary Statistics for a Quantitative Variable

1.1 Introducing Statistics: What Can We Learn from Data?

1.8 Graphical Representations of Summary Statistics

1.9 Comparing Distributions of a Quantitative Variable

1.6 Describing the Distribution of a Quantitative Variable

1.4 Representing a Categorical Variable with Graphs

1.3 Representing a Categorical Variable with Tables

Unit 1 Overview: Exploring One-Variable Data

1.10 The Normal Distribution

1.2 The Language of Variation: Variables

This is an overview of unit 2 of AP Statistics: Exploring Two Variable Data. Dive into bivariate data, causation vs. correlation, residuals, and linear regression models and build upon your unit 1 knowledge!

Unit 2 – Exploring Two-Variable Data

2.3 Statistics for Two Categorical Variables

2.9 Analyzing Departures from Linearity

2.1 Introducing Statistics: Are Variables Related?

2.6 Linear Regression Models

2.2 Representing Two Categorical Variables

2.7 Residuals

2.4 Representing the Relationship Between Two Quantitative Variables

Unit 2 Overview: Exploring Two-Variable Data

2.5 Correlation

2.8 Least Squares Regression

Dive into unit 3 of AP Statistics: Collecting Data! Learn how to design and plan experiments and studies and how to choose sampling data. We also go over source bias and causation vs. correlation.

Unit 3 – Collecting Data

3.2 Introduction to Planning a Study

3.1 Introducing Statistics: Do the Data We Collected Tell the Truth?

3.5 Introduction to Experimental Design

3.7 Inference and Experiments

3.6 Selecting an Experimental Design

3.3 Random Sampling and Data Collection

3.4 Potential Problems with Sampling

Unit 3 Overview: Collecting Data

Explore unit 4 of AP Statistics: Probability. Learn all about the binomial distribution, binomial and geometric distributions, conditional probability, and mutually exclusive events!

Unit 4 – Probability, Random Variables, & Probability Distributions

4.2 Estimating Probabilities Using Simulation

4.7 Introduction to Random Variables and Probability Distributions

4.6 Independent Events and Unions of Events

4.5 Conditional Probability

4.3 Introduction to Probability

4.4 Mutually Exclusive Events

4.11 Parameters for a Binomial Distribution

4.9 Combining Random Variables

Unit 4 Overview:  Probability, Random Variables, and Probability Distributions

4.1 Introducing Statistics: Random and Non-Random Patterns?

4.8 Mean and Standard Deviation of Random Variables

4.10 Introduction to the Binomial Distribution

4.12 The Geometric Distribution

Master unit 5 of AP Statistics: Sampling Distributions with our extensive resources! Learn about the cental limit theorem, point estimates, and how to use sampling distributions for sample means and proportions with our resources! 

Unit 5 – Sampling Distributions

5.3 The Central Limit Theorem

Unit 5 Overview: Sampling Distributions

5.5 Sampling Distributions for Sample Proportions

5.1 Introducing Statistics: Why Is My Sample Not Like Yours?

5.4 Biased and Unbiased Point Estimates

5.7 Sampling Distributions for Sample Means 

5.6 Sampling Distributions for Differences in Sample Proportions

5.2 The Normal Distribution, Revisited

5.8 Sampling Distributions for Differences in Sample Means

Dig deep into unit 6 of AP Statistics—Inference for Categorical Data: Proportions. Set up confidence intervals and become a pro at conducting significance tests for proportions!

Unit 6 – Proportions

6.6 Concluding a Test for a Population Proportion

6.8 Confidence Intervals for the Difference of Two Proportions

6.9 Justifying a Claim Based on a Confidence Interval for a Difference of Population Proportions

6.11 Carrying Out a Test for the Difference of Two Population Proportions

Unit 6 Overview: Inference for Categorical Data: Proportions

6.10 Setting Up a Test for the Difference of Two Population Proportions

6.1 Introducing Statistics: Why Be Normal?

6.4 Setting Up a Test for a Population Proportion

6.3 Justifying a Claim Based on a Confidence Interval for a Population Proportion

6.7 Potential Errors When Performing Tests

6.5 Interpreting p-Values

6.2 Constructing a Confidence Interval for a Population Proportion

This is an overview of unit 7 of AP Statistics—inference for qualitative data: means. Build upon unit 6 and learn how to set up confidence intervals and significance tests for means! We also have resources to help you gauge when and how to use t and z tests.

Unit 7 – Means

7.4 Setting Up a Test for a Population Mean

7.3 Justifying a Claim About a Population Mean Based on a Confidence Interval

7.6 Confidence Intervals for the Difference of Two Means

7.5 Carrying Out a Test for a Population Mean

7.2 Constructing a Confidence Interval for a Population Mean

7.10 Skills Focus: Selecting, Implementing, and Communicating Inference Procedures

7.8 Setting Up a Test for the Difference of Two Population Means

7.9 Carrying Out a Test for the Difference of Two Population Means

7.7 Justifying a Claim About the Difference of Two Means Based on a Confidence Interval

Unit 7 Overview: Means

7.1 Introducing Statistics: Should I Worry About Error?

Master unit 8 of AP Statistics—inference for categorical data: chi square! With our comprehensive resources, learn how to use the chi-square statistic for hypothesis testing! We also cover how to use the formula sheet on test day.

Unit 8 – Chi-Squares

8.1 Introducing Statistics: Are My Results Unexpected?

8.7 Skills Focus: Selecting an Appropriate Inference Procedure for Categorical Data

8.2 Setting Up a Chi Square Goodness of Fit Test

8.4 Expected Counts in Two Way Tables

8.6 Carrying Out a Chi-Square Test for Homogeneity or Independence

8.5 Setting Up a Chi-Square Test for Homogeneity or Independence

8.3 Carrying Out a Chi Square Goodness of Fit Test

Unit 8 Overview: Chi Square

Finish up AP Stats with unit 9\—inference for quanitative data: slopes. Learn how to set up confidence intervals and conduct significance tests for slopes of regression models! Use our resources to review important formulas and equations and become prepared for exam day!

Unit 9 – Slopes

9.4 Setting Up a Test for the Slope of a Regression Model

9.5 Carrying Out a Test for the Slope of a Regression Model

9.3 Justifying a Claim About the Slope of a Regression Model Based on a Confidence Interval

9.1 Introducing Statistics: Do Those Points Align?

Unit 9 Overview: Slopes

9.6 Skills Focus: Selecting an Appropriate Inference Procedure

9.2 Confidence Intervals for the Slope of a Regression Model

Frequently Asked Questions

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Previous Exam Prep

How to Get The Most Out of The Formula Sheet

Analyzing Categorical Data

Analyzing Categorical Data - Slides

Normal Curve and Normal Calculations

Inference: Hypothesis Tests for Means

Presentation Slides, Hypothesis Tests for Means

Advanced Linear Regression 

Inference: Confidence Intervals for Proportions

Inference: Confidence Intervals for Proportions - Slides

Sampling Distributions for Differences of means and proportions

Presentation Slides, Sampling Distributions

Normal Distributions

Sampling Distributions for Proportions

Sampling Distributions for Proportions - Slides

Sampling Methods and Sources of Bias

Sampling Methods and Sources of Bias - Slides

Randomness, Probability and Simulation

Powerpoint slides

Scatterplots & Association

Advanced Linear Regression

Q and A

Stats Q & A Slides

Review of Inference: z and t Procedures

Presentation Slides, z and t procedures

Late Medieval Review (Units 1-2) 

Presentation Slides, Formula Sheet

Combining Random Variables

Presentation Slides, Combining Random Vairables

Probability: Random Variables, Binomial/Geometric Distributions

Probability Review: Random Variables, Binomial/Geometric Distributions - Slides

Least-Squares Regression Lines

Inference: Hypothesis Tests for Proportions

Presentation Slides, Normal Distributions

Describing Location in a Distribution

Final Review and Open Q and A

Slides for Presentation

Displaying Quantitative Data with Graphs

Late Medieval Review (Units 1-2) - 5/7

Late Medieval Review (Units 1-2) - 5/7 - Slides

Experiments and Observational Studies

Experiments and Observational Studies - Slides

Conditional Probability and Independence

Presentation Slides, Conditional Probability

Inference: Confidence Intervals for Means

Inference: Confidence Intervals for Means - Slides

Sampling Distributions for Means

Exploring Two Variable Data

Presentation Slides, Inference: Hypothesis test for proportions

Inference: Errors & Power of Tests

Inference: Errors & Power of Tests Slides, Errors and Power

Probability: Two-Way Tables, Conditional, Independence, Tree Diagrams, etc

AP Stats Unit 1 Review

Describing Location in a Distribution - Slides

Sampling Distributions for Means - Slides

2020 CB Mock Question with Q and A

2020 CB Mock Question with Q and A - Stream Slides

AP Cram Sessions 2021

🌶️ AP Stats Cram Review Unit 7 Inference for Quantitative Data Means Confidence Intervals

AP Statistics Cram Unit 7: Inference for Quantitative Data: Means Confidence Intervals

🌶️ AP Stats Cram Review: Unit 4: Probability, Random Variables and Probability Distributions

AP Statistics Cram Unit 4: Probability, Random Variables and Probability Distributions

🌶️ AP Statistics Finale Watch Party Admin 3

AP Statistics Finale 

🌶️ AP Stats Cram Review: Unit 6: Inference for Categorical Data: Proportions Confidence Intervals

AP Statistics Cram Unit 6: Inference for Categorical Data: Proportions Confidence Intervals

🌶️ AP Stats Cram Review Free Response Tips and Tricks

AP Statistics Cram Free Response Tips and Tricks

🌶️ AP Stats Cram Review: Unit 2: Exploring Two Variable Data

AP Statistics Cram Unit 2: Exploring Two Variable Data

🌶️ AP Stats Cram Review: Unit 6: Inference for Categorical Data: Proportions Hypothesis Tests

AP Statistics Cram Unit 6: Inference for Categorical Data: Proportions Hypothesis Tests

🌶️ AP Stats Cram Review: Unit 7: Inference for Quantitative Data: Means Hypothesis Tests

AP Statistics Cram Unit 7: Inference for Quantitative Data: Means Hypothesis Tests

🌶️ AP Stats Cram Review: Unit 1: Exploring One Variable Data

AP Statistics Cram Unit 1: Exploring One Variable Data

🌶️ AP Stats Cram Review: Unit 5: Sampling Distributions

🌶️ AP Statistics Finale May 16, 2021

🌶️ AP Stats Cram Review: Unit 3: Collecting Data

AP Statistics Cram Unit 3: Collecting Data

🌶️ AP Statistics Finale Watch Party Admin 2

🌶️ AP Stats Cram Review Units 8 and 9 (Inference for Categorical Data Chi Square and Inference for Quantitative Data Slopes)

AP Statistics Cram Units 8 and 9 (Inference for Categorical Data: Chi Square and Inference for Quantitative Data: Slopes)

AP Statistics Cram Unit 5: Sampling Distributions

Live Cram Sessions 2020

AP Statistics Practice Questions (MCQ): 📈 Unit 9 – Slopes: 9.3 Justifying a Claim About the Slope of a Regression Model Based on a Confidence Interval

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