Interestingly, there seems to be some evidence that nature also likes the Golden Ratio. Here is a teaching idea from an ExploreMath lesson plan based on the Least Squares Fit Line activity . Finger data analysis Randomly pick six students. Plot their data on the computer by dragging the blue points to the proper coordinates. The data may look like the blue points in the graph below.
Students can now select the green to red box to see the total error of the least squares fit line.
Have students take note of the slope of the red line. This slope should be close to the Golden Ratio. As Leonardo da Vinci observed, the human body is basically proportional, and a good many of the proportions involve the Golden Ratio. All Rights Reserved. Please read our Privacy Statement and the Terms and Conditions under which this service is provided to you.