You are moving up in the Judicial system for Orange County, California.  You are seeking a reliable and rational way to predict workload so you can allocate resources appropriately.  You think you can use the number of arrests over the past month to predict the total number of trials that will occur three months later. In order to investigate this, you gather data for the last 48 months and develop a linear regression model where X is the total number of felony arrests for a month and Y is the total number of trials three months later.  You get the following results:

State your null and alternative hypotheses.  Explain the meaning of the slope, intercept and the coefficient of determination, specific to your equation.  Next, test the slope to see if it is significant (significantly different from 0 that is).  Based on the regression equation, how many trials can the judicial system expect if there are 623 felony arrests?   Put a 95% confidence around that estimate. Based on your evaluation, what can you say about your null and alternative hypotheses?

The Equation of motion for the standard mass-spring-damper system is

Mẍ + Bẋ + Kx = f(t).

Given the parameters {M = 2kg, B = 67.882 N-s/m, K = 400 N/m}, determine the free response of the system to initial conditions { x₀ = -1m, v₀ = 40 m/s}. To help verify the correctness of your answer, a plot of x(t) should go through the coordinates {t, x(t)} = {.015, -0.5141} and {t, x(t)} = 0.03, -0.2043}.

determine the steady-state response of the system to sinusoidal inputs of unit amplitude at specified frequencies. You may use any initial conditions you wasn’t for this section. Use the following frequencies: ω = {0.2, 1, 6, sqrt (200), 20, 100, 1000} rad/s.

Modify your Matlab code to numerically simulate the response of the system to the frequencies listed above. Simulate one frequency at a time. Simulate for a sufficient time that the system will have attained steady state. Plot three periods of the systems’s response at steady state (so the initial time value on the plot will not be t = 0). Then estimate the amplitude of the response for each frequency; you should have seven amplitudes when you are done.

Make a second plot where you plot the amplitudes determined above against the frequencies (make a frequency response magnitude plot). The x-axis should be logarithmic and the y-axis should be in dB. CLEARLY LABEL YOUR AXES. For the plot, connect the points with solid black lines with a LineWidth of 3.

Evaluate │H(jω)│ for the frequencies: ω = {0.25, 1.5, 6.5, 15, 25, 150, 800} rad/s. Do this BY HAND. Clearly show your work. Then plot the resulting {ω, │H(jω)│} points as green diamonds using Markersize of 10 and LineWidth of 3.

Data can be collected and organized as an ordered pair (x, y). The data can be analyzed to determine the type and strength of a correlation and to calculate a regression line in order to make a prediction.

Use the internet to find a data set of ordered pairs. Key terms to search: Free Public Data Sets and Medical Data Sets.

Create a Post:

Introduce your Data Set.

1. Which would be the independent variable, and which would be the dependent variable?
2. Without drawing a scatter plot, would you expect a positive, negative or no correlation? Explain.
3. Would you categorize your data to have a strong or weak correlation? Why?
4. What would the r² value tell you about the data that you selected?
5. What is the equation of the regression line?
6. Use the regression line to make a prediction about the data you collected.

1. What two groups are you comparing? What variable are you using for your comparison?

Tall vs Short. Discrete Variable

2. Use our class data to select a sample for each of your groups. Describe, in detail, how you created your sample. You should include:

a. The statistical name of your sampling method

b. Detailed description of how you created your samples

c. A list of observation numbers and actual data for each of your samples

- Create 4 different statistical descriptors of your data. (Mean, Media, Standard Dev. and Range)

- Are your two groups different, or similar? Use the statistics you created in number 3 as a basis of your decision.

Class Data:

58,59,59,59,59,60,60,60,60,60,60,60,60,60,60,60,61,61,61,61,61,61,61,61,61,61,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,66,66,66,66,66,66,66,66,66,66,66,66,66,66,66,66,66,66,66,66,66,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,68,68,68,68,68,68,68,68,68,68,68,68,68,68,69,69,69,69,69,69,69,69,69,69,69,69,69,69.5,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,71,71,71,71,71,71,71,71,71,71,71,71,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,73,73,73,73,73,73,73,73,73,73,73,73,73,73,73,73,73,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,75,75,75,76,76,76,76,77,77,78,83

PLEASE ANSWER PART C! Thank you!

ORGANIC CHEMISTRY (TLC lab)

if you used a solution of 90% ethyl acetate / 10% hexane instead of 10% ethyl acetate / 90% hexane to elute your TLC plates, what would you expect to see?

Would the Rf valaues increase of decrease for each compound? Explain in detail.

Rf values

Naphthalene = 0.44

9-fluorene 0.56

Benzophenone = 0.39

Fluorene = 0.88

4-nitroaniline = 0.28

4- methoxyacetophenone = 0.24

Question 1
Neelo Mbiganyi received a notice of assessment from Botswana Unified Revenue Service (BURS) and the Commissioner General had
disallowed some of the expenditures that she had claimed. Discuss the appeals and objection processes that Neelo can follow explaining in detail the rights and obligations that both Neelo and the Commissioner General have in these processes. In your answer, also explain what the Commissioner General should do suppose Neelo wins the case.

A hungry, but very inquisitive student was taking a break from studying in the library. She went to the vending machine and bought a bag of Skittles. After returning to her table, she dumped them out on the table and noticed that her bag contained 25 red, 13 green, 17 yellow, 12 purple, and 24 orange candies. It seemed like an excess of red and orange and not enough purple or green. Do a χ² test to determine whether this is in fact a significant deviation from what she expected (an equal number of all colors).

1. How can we use Chi-squared analysis for the skittles problem?

- the dependent variable is continuous?

- The indpendent variable is discrete?

- both the dependent variable and the independent variable are continous

2. What is the expected number of red skittles in this problem?

3. What is the Chi-squared value for this question?

4. What is the degrees of freedom (df) for this problem?

5. What is the Pvalue?

6. What is the P value testing?

7. Should the hypthesis be rejected?

A hungry, but very inquisitive student was taking a break from studying in the library. She went to the vending machine and bought a bag of Skittles. After returning to her table, she dumped them out on the table and noticed that her bag contained 25 red, 13 green, 17 yellow, 12 purple, and 24 orange candies. It seemed like an excess of red and orange and not enough purple or green. Do a χ2 test to determine whether this is in fact a significant deviation from what she expected (an equal number of all colors).

1. How can we use Chi-squared analysis for the skittles problem? - the dependent variable is continuous?

- The indpendent variable is discrete? - both the dependent variable and the independent variable are continous

2. What is the expected number of red skittles in this problem?

3. What is the Chi-squared value for this question?

4. What is the degrees of freedom (df) for this problem?

5. What is the Pvalue?

6. What is the P value testing?

7. Should the hypthesis be rejected?

what is your opinion about demand and economy supply?

3. Explain the economics of the music industry in the 1970’s and explain the issues that confronted them. please explain me in detail.