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Simple Linear Regression

Simple Linear Regression. NBA 2013/14 Player Heights and Weights. 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 = b 0 + b 1 X + e Model Assumptions:

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Simple Linear Regression

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  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

  3. Regression Calculations

  4. Inference Concerning b1

  5. EXCEL Output and Inference for b0

  6. Estimating Mean and Predicting New Response at x=x*

  7. Coefficients of Correlation and Determination

  8. Analysis of Variance and F-Test

  9. Linearity of Regression

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

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