Mathematics

For this assignment, you will analyze three questions that have been solved by a student. Each example has one error in the solutions. Copy and paste the questions into the discussion board and write a note to the student of what the error is for each example. When correcting each student, be specific as to what was wrong for each case. Example 1: Complete the first month’s charges and find the balance for Month 2. The APR is 15.99% with a minimum payment of 5%. The carry-over balance is $500. Student Answer: Month Carry-Over Balance Finance Charge New Balance Minimum Payment 1 $500 $6.66 $506.66 $25.33 2 $474.67 XXXXXXXX XXXXXXX XXXXXXXXX Example 2: What exact excel formula is needed to find the monthly payment for a house that costs $90,000? The APR is 4.5% for a 30-year loan. Student Answer: =PMT(4.5/12,30*12,-90000) Example 3: Using Excel, what formula is needed to find the total loan amount for a new car? You can spend $180 each month on payments and the loan rate is 5.72% for 4 years. Student Answer: =PV(.0572/12,4/12,-180) **MUST PLEASE USE EXCEL FOR ASSIGNMENT**

Normal distributions can be used for many purposes. One purpose might be to determine warranty times on a new game system. Consider if game systems normally last for 36 months before a failure of some sort with a standard deviation of 5 months. If we wanted to have a warranty that paid off on only 5% of the machines (in other words where 95% of them will work) then we could use: =NORMINV(0.95,36,5) which would give 44.22 months. This means that we should set our warranty period at 44 months to make sure that we only have to pay off on 5% of the machines. We obviously want to keep our customers happy and fix their system if it fails after a few months. Come up with at least TWO examples for normal distributions (similar to the above) with numbers and the formula (Google Sheets or Excel) that you used.

Suppose a chair manufacturer is producing in the short run (with existing plant andequipment). The manufacturer has observed the following levels of production correspondingto different numbers of workers:a. Calculate the marginal and average product of labor for this production function.b. Does this production function exhibit diminishing returns to labor? Explain.c. Explain intuitively what might cause the marginal product of labor to become negative.2. The marginal product of labor in the production of computer chips is 50 chips per hour. Themarginal rate of technical substitution of hours of labor forhours of machine capital is !”What is the marginal product of capital?

describe if a good certain of people dont wanna get vaccinated why we should help other countries and share with them

Prepare a 2-3 page (hypothetical) model-based recommendation to the next MSU president on how to increase the happiness of the Montclair State University undergraduate student body.1. Describe your model. What 5-6 factors (independent variables) would you consider to include in a model of the overall level of happiness of a college’s student body? (e.g. class size, overall enrollment, location, recreation, grade policy, etc.) Which factors would be positive and which negative? Is this data available? If not, where would you find it?2. Where would Montclair State rank (decile) among all colleges in the U.S., in your opinion? Why?a) Name a school that would be higher-ranked. Why do you think it would be ranked higher?b) Name one lower-ranked. Why?3. Over which factors in your hypothetical model do the Montclair State Unversity administration have the most control over? What would recommend as the TOP 3 metrics for the new President of MSU to focus on with the goal of increase the happiness of MSU students?**Use the link below and google for data andmore information**https://ourworldindata.org/happiness-and-life-satisfaction

Write an essay about Fermat’s Last Theorem – The Theorem and Its Proof: An Exploration of Issues and Ideas [1993] and your reaction to itWho is its main character? You may feel that the man is the main character, or you may feelthe equation is its main character. Be sure to mention both.Why have I shown this to you now? What does the content have to do with logic?Comment on what was interesting, surprising, or in general what you learned aboutmathematicians or the culture of mathematicsNote a few of the mathematicians, aside from Wiles:Note any of comments or stories that caught your attention:What is Fermat’s Last Theorem, and why is it, and the proof, interesting?What does Fermat’s Last Theorem, or its proof, contribute to the practical world?What did you observe about problem solving techniques?

For this part of the assignment, use the Ionosphere dataset. It’s part of the mlbench library and can be loaded withdata(Ionosphere, package=’mlbench’)After loading the data, remove the first two columns from the dataset and create a training/validation set split so that each model you built can be evaluated using the validation set.First use overall accuracy as a metric to compare logreg, LDA, QDA, and kNN with k taking on all values between 1 and the max value you determine is appropriate for the dataset, inclusive. Use the formula we saw in this week’s announcement for the confidence intervals of the accuracy rate so you can include the confidence interval for each accuracy estimate. Create a table showing the accuracy for each model and also answer the following questions in the text of your document. Which model has the best overall accuracy? Is it significantly different than the accuracy of any of the other models?Based on what you know about each classifiers strengths and weaknesses (Section 4.5), what might the different models be indicating about the dataset?Based on what you can tell from exploratory visualization of the dataset, do you see any indications that one model should be more suitable than another? Include visualizations to back up your argument.

Combination of research question 1 and 2 into one comprehensive research questionDo the level of education for married women, the household size by race (Black and White American race), and the level of married men’s self-esteem significantly affect the level of intimate partner violence against married women (IPV) in the United States of America while keeping their per capita income controlled• Independent Variables: the level of education for married women, the household size by race (Black and White American race), and the level of married men’s self-esteem.• Dependent Variable: the level of intimate partner violence against married women (IPV).• Control variable: the level of per capital personal income.

Use and Knowledge of SPSS is REQUIRED!!!You will conduct a study using “MULTINOMIAL LOGISTIC REGRESSION” on the above topic.  You will need to obtain the data necessary to conduct each study.The Inter-university Consortium for Political and Social Research at the University of Michigan maintains a variety of datasets on criminal justice and other topics. These datasets are in SPSS format. Should be organized in the following sections: abstract, background, data, results, conclusion, and references.Research Question: ” What impact have solitary confinement had on inmate’s mental health”?Research Hypotheses: Inmates who spend time in solitary confinement have an increase in mental healthissues.Multinomial Dependent Variable: Type of Mental Health ProblemsMain Variable of Theoretical Interest: Whether the individual was in solitary confinementControl Variables: 3 days of more in confinement, age, sex, race, etc.

case writeup:around 2-page reflection write-up, 400-600 words • 1 paragraph synopsis of what is the data source, methods, and approach • 2-3 paragraph: What did you find more insightful? What was most counterintuitive?ALSO, raise and write 3-5 insightful and critical questions (about the statistics, economic, consumer analysis,… overall about the class title” BIG DATA CONSUMER ANALYTICS) for the case.