Linear regression: Parameters exercise

The graph below plots 20 examples from a fuel-efficiency dataset, with the feature (car heaviness in thousands of pounds) plotted on the x-axis and the label (miles per gallon) plotted on the y-axis.

Your task: Adjust the Weight and Bias sliders above the graph to find the linear model that minimizes MSE loss on the data.

Questions to consider:

• What is the lowest MSE you can achieve?
• What weight and bias values produced this loss?

Click the plus icon to see our solution

We were able to achieve a MSE below 5 with a weight of –1.5 and a bias of 21.

Note: The data points in the graph vary slightly each time you load the page, so your optimal solution may be a little different than ours.