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Introductory Statistics. Inference for Bivariate Data Intro to Inference in Regression Requirements for Linear Regression Linear Relationship Constant.

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Presentation on theme: "Introductory Statistics. Inference for Bivariate Data Intro to Inference in Regression Requirements for Linear Regression Linear Relationship Constant."— Presentation transcript:

1 Introductory Statistics

2 Inference for Bivariate Data Intro to Inference in Regression Requirements for Linear Regression Linear Relationship Constant Variances Error term is normal Hypothesis Testing Confidence Interval

3 Parameter and Statistic

4 Inference for Bivariate Data Intro to Inference in Regression Requirements for Linear Regression Linear Relationship Constant Variances Error term is normal Hypothesis Testing Confidence Interval

5 Requirements for Simple Linear Regression

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7 Checking Requirement for Linear Relationship Crocodile Data – Predict Body Length based on Head Length Scatterplot – Data has a “hot dog” shape Residual plot – No Pattern Residual = observed y – predicted y

8 No Pattern Pattern Checking Requirement for Linear Relationship

9 Manatee Data – Predict Manatees Killed based on # of Powerboats Registered Scatterplot – Data has a “hot dog” shape Residual plot – No Pattern

10 Checking Requirements for Normal Error Term

11 Checking Requirement for Normal Error Term Crocodile Data– Predict Body Length based on Head Length Points appear to be close to the line Error term appears to be normal

12 Checking Requirement for Normal Error Term Manatee Data– Predict Manatees Killed based on # of Powerboats Registered Points appear to be close to the line Error term appears to be normal

13 Checking Requirements for Constant Variance

14 Crocodile Data – Predict Body Length based on Head Length Residual plot – No Megaphone Shape

15 Megaphone Checking Requirements for Constant Variance

16 Manatee Data – Predict Manatees Killed based on # of Powerboats Registered Residual plot – Slight Megaphone but not too bad

17 Inference for Bivariate Data Intro to Inference in Regression Requirements for Linear Regression Linear Relationship Constant Variances Error term is normal Hypothesis Testing Confidence Interval

18 Hypothesis Testing

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22 Inference for Bivariate Data Intro to Inference in Regression Requirements for Linear Regression Linear Relationship Constant Variances Error term is normal Hypothesis Testing Confidence Interval

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