Question 6.77

image 42. Exercise 6 gives data on the growth of an icicle (page 278).

  1. Find the mean and standard deviation of the times and icicle lengths. Find the correlation between the two variables. Use these five numbers to find the equation of the regression line for predicting length from time. Verify that your result agrees with that given in Exercise 34.
  2. Use the same five numbers to find the equation of the regression line for predicting from an icicle’s length the time that it has been growing. Use your line to predict the time that an icicle 15 centimeters long has been growing. There is just one correlation between two variables, but there are two different least-squares lines, depending on which variable you choose as the response variable.