s. Regression toward the Mean The term "regression\" 1was popularized by Sir Francis Galton with the publication of his paper, \"Regression towards Mediocrity in Hereditary Stature\" (The Journal oftln: Anthropological Institute ofGreet Britain and Ireland 15 {1836}, 246-263]. In this paper, he showed that extreme characteristics of parents do not fully manifest themselves in their children. In fact, these characteristics regress toward \"mediocrity", which is regression towards the population mean. That is, very tall parents tend to have children that are not as tall as they are, and very short parents tend to have children taller than they are. The question uses lBolton's original data set and it is attached as go lion . our. A. Use E. to estimate the following model using IDLE, and report the results with Itargaser: =1+1323i+u where P} is the value of a son's adult height {in inches}, while I,- is the father's adult height {in inches}. The estimated model is denoted as: ?l' 11 + 321: E. Use the DIS regression results from Part A to formally test \"regression toward the mean.'r Regression toward the mean occurs if ,3; r: 1. Formally test this at the Inpercent level of significance. Show your results, interpret, and explain