3. As an analyst for a security firm, you are examining data provided from 1975 regardingcrime in centies across the United States. The variables measured include attributes of thecars. The 14 variables measured are:X1-row, X2-city" X3- "population" X4-"murder",X5-"Aggravated" X6-"robbery" X7-"assault",X8- Burglary X9-"car.theft"The questions that the researcher would like answered include:1. Can the data be reduced in dimension? If so how. Please indicate your approach2. Conduct a cluster analysis. Indicate the method used in your cluster analysisand why.3. How do the data in your cluster analysis differ to a plot of the data on thereduced reduced dimensions, if at all?4. Be sure to include all necessary plots for the cluster analysis and explain them.5. Your colleagues believes that two latent variables exist in the data (Violent /Non Violent Crime). How you would confirm this. Then conduct an analysis thatproves or disproves it, be sure to indicate the loadings of the items on the factor .6. As part of 5, draw a complete diagram for the Factor analysis with the completeloadings.