Regression and Correlation Using string , measure the diameter and circumference of at least 15 circles of different sizes . You need to measure both and pretend that you don't know the relationship between the diameter and circumference , which is pi . We are going to estimate this relationship using regression . Let * represent the diameter and y represent the circumference , this is important to not mix up andy . Your ordered pairs will be of the form ( diameter , circumference ) . Record the data here and include the name of the object you measured . For example : coffee cup , diameter ( * ) 3 in and circumference ( * ) 8 9in . Please be sure to measure both the diameter AND the circumference . Do not estimate the circumference using the known slope parameter , pi . I will check your measurements to make sure you didn't just multiply the diameter by pi or Construct a scatter plot on Stat Crunch or Minitab graph below ( you can cut and paste or graph NEATLY by hand For the paired data above , find the correlation coefficient , I and determine if r is significant at a = 0.05 and a = 0 01 using the critical values in Table IT