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Simple Linear Regression

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Presentation on theme: "Simple Linear Regression"— Presentation transcript:

1 Simple Linear Regression
NBA 2013/14 Player Heights and Weights

2 Data Description / Model
Heights (X) and Weights (Y) for 505 NBA Players in 2013/14 Season. Other Variables included in the Dataset: Age, Position Simple Linear Regression Model: Y = b0 + b1X + e Model Assumptions: e ~ N(0,s2) Errors are independent Error variance (s2) is constant Relationship between Y and X is linear No important (available) predictors have been ommitted

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4 Regression Calculations

5 Inference Concerning b1

6 EXCEL Output and Inference for b0

7 Estimating Mean and Predicting New Response at x=x*

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9 Coefficients of Correlation and Determination

10 Analysis of Variance and F-Test

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12 Linearity of Regression

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14 Height and Weight Data – n=505, c=18 Groups
Do not reject H0: mj = b0 + b1Xj


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