Module 6 Assignment 1. Incarceration rates vary from state to state. We must remember that correlation is not causation but we can ask: \"what state level factors might be associated with the state incarceration rate? I drew a sample of 17 states using a systematic random sampling method (Chapter 7). Using data from the Bureau of Justice Statistics, the Kaiser Foundation and the FBI, I gathered published data on: Incarceration Rate per 100,000 Adults (2014) Median State Income (2010-2013) Total Crime Rate from Uniform Crime Reports (Violent crime and Property crime) a) Before you look at the data (on the next page), state an appropriate null and research hypothesis concerning the relationship between Incarceration Rate and each of the two independent variables. b) Which of these predicted relationships do you expect to be strongest? Why? For each of these relationships, calculate: c) The prediction equation (least squares line) d) The Coefficient of Determination e) Pearson's r f) Would multiple regression be a useful statistical tool for further analysis of these data? Why or why not? You do not need to do any calculations. Incarceration Rate Median per 100,00 Adults Income 2014 2010-2013 State Alabama Arkansas Connecticut Florida Idaho Iowa Louisiana Massachusetts Mississippi Nebraska New Jersey North Carolina Oklahoma Violent Crime Prop crime Total crime Rate Rate Rate 2012 2012 2012 890 1020 590 960 910 530 1380 380 1120 600 510 710 43330 40877 67807 47106 49952 53364 40844 64555 40338 55107 65321 44254 449.9 469.1 283 487.1 207.9 263.9 496.9 405.5 260.8 259.4 290.2 353.4 3502.2 3660.1 2140 3276.7 1983.5 2271.8 3540.6 2153 2811 2754.9 2047.3 3369.5 3952.1 4129.2 2423 3763.8 2191.4 2535.7 4037.5 2558.5 3071.8 3014.3 2337.5 3722.9 1310 47282 469.3 3401 3870.3 Rhode Island 400 55158 252.4 2572.3 2824.7 Tennessee 920 42785 643.6 3371.4 4015 Vermont 390 56175 142.6 2398.7 2541.3 West Virginia 670 43361 316.3 2364.9 2681.2 Mean 781.76 50448.00 355.96 2801.11 3157.07 SD 313.49 9056.11 130.62 601.63 703.41 Sources: http://www.bjs.gov/content/pub/pdf/cpus14.pdf http://www.icip.iastate.edu/tables/population/urban-pct-states http://kff.org/other/state-indicator/median-annual-income/ http://www.ucrdatatool.gov/Search/Crime/State/RunCrimeStatebyState.cfm