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

          

   	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

1. A simple linear regression model relating a bank lending interest rate and investment in physical capital by companies is stated as:

Which variable (lending interest rate or investment in physical capital) do you think should be the dependent variable in this regression model? Please justify your answer.                                                        [2 points]

2. What sign would you expect for the slope of this regression model for interest rate and investment in physical capita? Please justify your answer.                    
3. What is the role of the error term in the simple linear regression model like the one stated above? Please state at least three examples of the factors that you think belong in the error term of the simple linear regression model stated above briefly justifying each example.                                                                                           [3 points]
4. Please explain how you would estimate the relationship between interest rate and investment specified above. [note: you do not need to write any formulas as an answer to this question. Just explain what you will need and the reasoning behind the method you would use to estimate the relationship].                               [3 points]
5. For what purpose could you use the estimated simple linear regression model for lending interest rate and investment in physical capital? Why could the simple linear regression model stated above be inadequate for the purpose?            [2 points]                       
6. Using an example, please explain why a statistically significant relationship in a regression model for two variables does not necessarily imply “cause” and “effect” relationship between the two variables.   

(a) Define and explain asymmetric information outlining its two sources.

(b) Governments sometimes intervene in insurance markets. Explain in detail two reasons why they might intervene and outline the rationale and justification for doing so.

QUESTION 1
Discuss in detail the evolutionary stages of counseling.Explain this theories.

Explain the philosophies of these therapies and explain how they related to counseling

Please write and solve one question about identical transformer (parametric). Also, please write and solve one more question about real transformer (numerical). You can get help from the Electric Machinery. A.E. Fitzgerald book. (Add approximations if any) I'm waiting for two questions with answers to learn transformers in detail.

Please write and solve one question about ideal transformer (parametric). Also, please write and solve one more question about a real transformer (numerical). You can get help from the Electric Machinery. A.E. Fitzgerald book. (Add approximations if any) I'm waiting for two questions with answers to learn transformers in detail.

What can you conclude about the effect of dilution on the pH of a buffer solution such as buffer A (10 mL of sodium bicarbonate + 10 mL of sodium carbonate) in your experiment? Explain your answers.

Explain what is your business and then tell us what legal structure (sole proprietorship, partnership, LLC, etc.) you would use and WHY? You must explain your decision!

5. Attitudes: a. Your close friend was laid off due to downsizing, and she's feeling depressed. She's looked online and in the paper for job openings, but has recently given up hope on finding anything. You've also noticed that she has become more withdrawn from friends lately. Detail a well-rounded plan for how you can help her improve her attitude about this jobless situation. b. Now pretend that you are the one laid off and feeling hopeless. How would changing your own attitude differ from changing someone else’s attitude such as your friend?