least -0.05. Does the sample data contradict this belief? Carry out a test of appropriate hypotheses using a significance level of .01Electromagnetic technologies offer eective nondestructive sensing tech niques for determining characteristics of pavement. The propagation of electro magnetic waves through the material depends on its dielectric properties. The following data, kindly provided by the authors of the article \"Dielectric Modeling of Asphalt Mixtures and Relationship with Density\" (J. of Transp. Engr., 2611: 164111}, was used to relate y = dielectric constant to I 2 air void [933) for 18 samples having 5% asphalt content: "" {4.55, 4.49, 4.56, 4.4T, 4.4T, 4.45, 4.46, 4.34, 4.43, 4.43, 4.42, 4.46, 4.33, 4.44, 4.46, 4.26, 4.32, 4.34} \"5,1335, 4.79, 5.5?, 5.213, 5.6T, 5.?9, 5.36, 6.46, 5.66, 5.96, 6.49, 5.?6, 6.49, 6.37, 6.51, T33, 6.?4, \"13} [a] Obtain the equation of the least squares line and interpret its slope. {b} 1What proportion of observed variation in dielectric constant can be attributed to the approximate linear relationship between dielectric constant and air void. [c] Does there appear to be a useful linear relationship between dielectric constant and air void? State and test the appropriate hypotheses. (d) Suppose it had previously been believed that when air void increased by 1 percent, the associated true average change in dielectric constant would be at