Question

In: Statistics and Probability

Incarceration rates vary from state to state. We must remember that correlation is not causation, but...

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?”

  1. Before you look at the data below, state appropriate null and research hypotheses concerning the relationship between Incarceration Rate and Median State Income.

    Using the data below, calculate:
  2. The prediction equation (least squares line)
  3. The Coefficient of Determination
  4. Pearson's r
  5. Predicted Incarceration Rate for Nebraska based on regression analysis using Median State Household Income.
  6. 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 to answer this section of the question
  7. Incarceration Rate and Median Household Income graph below
  8. Please show work. Class does not use SPSS or excel for problems. Thank you.

      Incarceration

    Median

    rate per 100,000

    Income

    U.S. residents ages 18 or older

      

    2016

    2016

    State

      

    Alabama

    1080

    46257

    Arkansas

    1050

    44334

    Connecticut

    530

    73433

    Florida

    900

    50860

    Idaho

    910

    51807

    Iowa

    560

    56247

    Louisiana

    1270

    45146

    Massachusetts

    360

    75297

    Mississippi

    1260

    41754

    Nebraska

    610

    56927

    New Jersey

    460

    76126

    Oklahoma

    1310

    49176

    Rhode Island

    370

    60596

    Tennessee

    930

    48547

    Vermont

    340

    57677

    West Virginia

    690

    43385

    Mean

    789.38

    54848.06

    SD

    342.06

    11378.33

Solutions

Expert Solution

Finding the R square ( Coefficient of determination)

Predicted value for Nebraska

y = 2047.752 - 0.023x = 2047.752 - 0.023(56927) = 738.431


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