Training and testing the model
Now that we have done statistical tests to see whether there is a significant relationship between the predictor variable (horsepower) and the result variable (miles per gallon), we are ready to test the model with known values and see how well it fits. The tests we did are as follows:
- The coefficient of determination
- The coefficient of correlation
- t-statistics
- The p-value
- f-statistics
We will provide a summary of them in the following paragraphs.
The coefficient of determination is the level of confidence to determine the Y value based on the X value. It is the percentage of trust in the relationship between horsepower and miles-per-gallon performance. For this example, it has a value of 0.7287
, meaning that 72% of the predictor values (horsepower) determine the result of miles per gallon.
The coefficient of correlation measures the strength of the relationship between the X predictor variable (horsepower) and the...