Establishing the properties of materials is an important problem in identifying a suitable substitute for biodegradable materials in the fast food packaging industry. consider the following data on product density (g/cm3) and thermal conductivity k-factor (w/mk) published in materials research and innovation (1999, pp 2-8). thermal conductivity, y product density, x 0.049000 0.185000 0.053500 0.23 0.055000 0.235000 0.054500 0.236000 0.058000 0.26 0.062000 0.286500 (a) create a scatter diagram of the data. what do you anticipate will be the sign of the sample correlation coefficient? (b) compute to 4 decimal places the sample correlation. hint: carry all calculations out to six (6) significant digits.