Question

D.C., the relation between the percent of the state's population living in a metropolitan area and the violent 27. (Figure: Percent Metropolitan and Crime Rate) The figure depicts, for each of the 50 states and Washington, crime rate for the state. (a) Based on the scatterplot, what is the relation between the percent of a state's population living in a metropolitan area and the violent crime rate? (b) Identify and describe the outlier in the might yield Figure: Percent Metropolitan and Crime Rate 00 PET 28. (Table: Twin Data Correlations) The following analysis was conducted using a set of data collected by a team of five interviewers at the 16th Annual Twins Day Festival in Twinsburg, Ohio, in August 1991. An ad inviting all adult twins to participate in the survey was placed in the festival program, and a booth was set up at the festival's main entrance. In addition, the interviewers roamed the festival grounds, approaching all adult twins for an interview. Almost every pair of twins accepted. Use the table exploring the correlation between the number of years of education completed by Twin 1 and Twin 1's annual income to answer the questions, (a) What is the correlation between years of education completed and income? (b) What is the income z score of a person who has an education z score of 0.52? (c) Draw a graph with the regression line for predicting z scores on income from z scores on education. Be sure to actually calculate values, using what we know about correlation, z scores, and regression in order to place points on your graph. Table: Twin Data Correlations Years Education Income Years Education Pearson Correlation 0.261(**) Sig. (2-tailed) 0.001 N 183 161 1 Income Pearson Correlation Sig. (2-tailed) N 0.261(**) 0.001) 161 161

Answer 1

Here we are given a figure that depicts for each of 50 states and washington DC the relation between the percent of the states population living in an metropolitan area and the violent crime rate for the state.

a) Based on the scatter plot we can conclude that a fairly positive association is present between the percent of the states population living in an metropolitan area and the violent crime rate for the state.

b) From the scatter plot we see there is an outlier. The outlier occurs at the oint where the states populatin living is nearly 120 and the violent crime rate for the state is approximately 2000.

c) Here an outlier analysis is done using scatter plot because if any outlier is present then we can identify it easily as the oint lies far from the other scatter points. We can also gather information about the interval after which if the states populayion is increased in a metropolitan area , the violent crime rate for the state increases rapidly.