18. In a study of relationships among different types of childhood trauma and experiential avoidance, two measurements were obtained for a sample of 250 students. The measurements were Emotional (X) and Experiential avoidance (Y). A summary of the data is given as follows. (a) (b) (C) (d) Zr 2 330,2} 2 1307 2X2 : 842,: r2 : 7533 Zxr : 1852 7 Find the equation of the tted regression line where Emotional is the predictivefexplanatory variable and Experiential avoidance is the response variable. Calculate the correlation coefcient between Emotional and Experiential avoidance. Interpret quantitatively the meaning of the intercept and the slope of the tted regression line. Predict Experiential avoidance when Emotional = 2. 19. To get answers to sensitive questions, we sometimes use a method called \"Randomized Survey Response Technique". Suppose, for instance, that we want to determine what "/0 of students at a university take ketamine. We construct 20 ash cards, write \"I take ketamine occasionally or regularly\" on 12 of the cards (where 12 is an arbitrary choice) and \"I do not take ketamine at all\" on the other 8 cards. Then we let each student (in the survey interview) select 1 of the 20 cards at random, and respond \"True\" or \"False\" without divulging the question. (a) 0)) Establish a relationship between P(T), the probability that a student will give a \"True\" response, and P(K), the probability that a student randomly selected at the university takes ketamine either occasionally or regularly. If 110 out of 250 students answered \"True\" under these conditions, use the result of part (a) and 110;\"250 as an estimate of P(T) to estimate P(K)