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Data Science Linear Regression Coefficients

The linear regression function can be rewritten mathematically as

The "Coefficients Part" in Regression Table

  • Coef is short for coefficient. It is the output of the linear regression function.

    • The linear regression function can be rewritten mathematically as:

    Calorie_Burnage = 0.3296 * Average_Pulse + 346.8662

    These numbers means:

  • If Average_Pulse increases by 1, Calorie_Burnage increases by 0.3296 (or 0,3 rounded)
  • If Average_Pulse = 0, the Calorie_Burnage is equal to 346.8662 (or 346.9 rounded).
  • Remember that the intercept is used to adjust the model's precision of predicting!

    • Do you think that this is a good model?

    Define the Linear Regression Function in Python

    Define the linear regression function in Python to perform predictions.

    What is Calorie_Burnage if Average_Pulse is: 120, 130, 150, 180?

    Example

    def Predict_Calorie_Burnage(Average_Pulse):
     return(0.3296*Average_Pulse + 346.8662)

    print(Predict_Calorie_Burnage(120))
    print(Predict_Calorie_Burnage(130))
    print(Predict_Calorie_Burnage(150))
    print(Predict_Calorie_Burnage(180))

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