Referring to Example 3 concerning nanopillars, calculate the correlation coefficient between height and width.

Data From Example 3

Transcribed Image Text:

EXAMPLE 3 One scatter plot but two different fitted lines Engineers fabricating a new transmission-type electron multiplier created an array of silicon nanopillars (see Figure 2.5) on a flat silicon membrane. The pre- cise structure can influence the electrical properties so, subsequently, the height and widths of 50 nanopillars (see Exercise 11.23) were measured in nanometers (nm) or 10-9 meters. The summary statistics, with x = width and y = height, are n = 50 Sxx x= 88.34 = 7,239.22 Sxy = 17,840.1 y = 305.58 Syy = 66,976.2 (a) Find the least squares line for predicting height from width. (b) Find the least squares line for predicting width from height. (c) Make a scatter plot and show both lines. Comment.