Do you think there should be interest rate caps on payday loans or not? Defend your answer.

Watch the following video:
Oliver, J. (2014). Predatory lending: Last week tonight with John Oliver. HBO. Retrieved from https://youtu.be/PDylgzybWAw

And read the following article:
Holland, J. (2016). Rapid City payday lender stops making loans due to new lower interest rates. Rapid City Journal. Retrieved from http://rapidcityjournal.com/news/local/rapid-city-payday-lender-stops-making-loans-due-to-new/article_0424e3da-5963-54f8-b5c3-60ba7797e743.html

2.) Post one initial response of at least 150 words but not more than 350 words responding to the following. First, do you think there should be interest rate caps on payday loans or not? Defend your answer. Also, determine the interest that would be charged on a two-week $300 payday loan if the interest rate is 520%, and the interest is compounded at the end of the two weeks. Explain how you came to your answer. Finally, suppose a friend or family asked you how it could be possible that an annual interest rate is higher than 100%. Write out an explanation of what you might say to them.

Formulate and evaluate hypothesis tests for population parameters based on sample statistics using both Critical Regions and P-Values

Formulate and evaluate hypothesis tests for population parameters based on sample statistics using both Critical Regions and P-Values, and be able to state results in a non-technical way that can be understood by consumers of the data instead of statisticians.
Dealing with Two Populations
Inferential statistics involves forming conclusions about a population parameter. We do so by constructing confidence intervals and testing claims about a population mean and other statistics. Typically, these methods deal with a sample from one population. We can extend the methods to situations involving two populations (and there are many such applications). This deliverable looks at two scenarios.
Concept being Studied
Your focus is on hypothesis tests and confidence intervals for two populations using two samples, some of which are independent and some of which are dependent. These concepts are an extension of hypothesis testing and confidence intervals which use statistics from one sample to make conclusions about population parameters.
What to Submit
Your research and analysis should be presented on the spreadsheet Click for more options provided.

Does the Range Rule of Thumb estimate more often underestimate or overestimate the actual standard deviation?

Please also pay close attention to any additional specifications provided by your professor.  Professors often will clarify their expectations regarding the format and presentation of your submission.  

The Range Rule of Thumb is based on the insight that the range is often approximately 4 times as large as the standard deviation. This insight enables you to quickly estimate the standard deviation of a data set by finding the maximum and minimum data values, using them to compute the range, and then dividing this value by 4.

  1. Each of the following 5 data sets has a mean close to 100, and a standard deviation in the 20s. Assume that each of these are sample data sets. For each of the 5 data sets given below, use the Excel function “=stdev.s” (or technology) to find the actual sample standard deviation (10 points), compute the estimate given by the Range Rule of Thumb (RROT) Estimate (10 points), and compute the percentage error of the estimate (10 points). The formula for the RROT estimate is RROT estimate = Range/4 (where the range = maximum value – minimum value), on the assumption that the Standard Deviation » RROT estimate.  The formula used to find the percentage error of the estimate is:

% Error = | RROT Estimate – Standard deviation | / Standard Deviation × 100 = ____ % .

  1. Data Set 1: No outliers
68 68 68 68 68 133 133 133 133 133

Actual Standard deviation =                              RROT Estimate =                     % Error =

  1. Data Set 2: 1 outlier
68 81 81 81 81 82 82 82 82 160

Actual Standard deviation =                              RROT Estimate =                     % Error =

  1. Data Set 3: 2 outliers
38 86 88 89 90 90 91 92 104 152

Actual Standard deviation =                              RROT Estimate =                     % Error =

  1. Data Set 4: Normal (Bell-Shaped) Distribution
51 67 74 81 87 93 99 106 115 128

Actual Standard deviation =                              RROT Estimate =                     % Error =

  1. Data Set 5: Uniform Distribution (evenly-spaced values)
65 73 81 89 97 105 113 121 129 137

Actual Standard deviation =                              RROT Estimate =                     % Error =

  1. Summarize what you learned:
  2. a) Does the Range Rule of Thumb estimate more often underestimate or overestimate the actual standard deviation? (3 points)
  3. b) What is the largest percentage error? (3 points)
  4. c) Each of the data sets given above is artificially contrived. If you were to apply the RROT estimate to a typical real-world data set, about how accurate would you expect it to be (your answer here should be a numerical estimate of the percentage error, based on your previous results)? (4 points)

Submit your Project 1 by 11:59 p.m. (ET) on Monday of Module/Week 3.

Identify the independent and dependent variables. Comment on the sample, its suitability, selection and size.

locate an article that uses multiple regression analysis.

Identify the independent and dependent variables.
Comment on the sample, its suitability, selection and size.
How strong was the correlation between the variables?
Were all of the independent variables significantly correlated to the dependent variable?
What were the conclusions of the article?
Were there any statistical issues (methods, approaches, etc.) that you found insightful, questionable, surprising, confusing, and/or groundbreaking? Explain.
Was this an appropriate use of multiple regression? Explain.

PLEASE ANSWER ALL THE STEPS

What is the difference between the two videos? What kind of indexing does the second video use to discuss the national debt (at 1.44 mins and after)?

The trends in the US national debt and the controversy surrounding it illustrate this topic. First watch this video (1.59 mins long)

(7mins). Finally, use the website (Links to an external site.) to convert $19 Trillion debt in 2017 to 1980 dollars. What is the difference between the two videos? What kind of indexing does the second video use to discuss the national debt (at 1.44 mins and after)? Did the second video modify your view of the debt crisis presented in the first video? Why or why not? Please share and discuss your response to the effect of indexing when discussing the national debt.

Prove that the statement lira f(x) = 1 is false. You may only use the precise definition of a limit (e-5 definition).

Consider the function defined for 0 < x < 1
f(x)1 if 10 n < x < 10 n and n is an even positive integer = if 10 n < x < 10 n and n is an odd positive integer. (a) What it the value f(x) for x = 0.9, x = 0.05, and x = 0.003? (b) For every e > 0 and every 5 > 0 there exists an 0 < x < 5 so that 11(x) — 11 < a (c) Prove that the statement lira f(x) = 1 is false. You may only use the precise definition of a limit (e-5 definition). You are not allowed to use
limit laws.

Discuss whether the results table of a linear regression of haul weight on mileage per gallon show any statistically significant relationship between the two. What values in the results table communicate this information?

Case 14.4_Continental Trucking:  Guidance and Further Instructions

Norm Painter is the newly hired cost analyst for Continental Trucking. Continental is a nationwide trucking firm, and until recently, most of its routes were driven under regulated rates. These rates were set to allow small trucking firms to earn an adequate profit, leaving little incentive to work to reduce costs by efficient management techniques. In fact, the greatest effort was made to try to influence regulatory agencies to grant rate increases.

A recent rash of deregulation has made the long-distance trucking industry more competitive. Norm has been hired to analyze Continental’s whole expense structure. As part of this study, Norm is looking at truck repair costs. Because the trucks are involved in long hauls, they inevitably break down. In the past, little preventive maintenance was done, and if a truck broke down in the middle of a haul, either a replacement tractor was sent or an independent con-tractor finished the haul. The truck was then repaired at the nearest local shop. Norm is sure this procedure has led to more expense than if major repairs had been made before the trucks failed.

Norm thinks that some method should be found for determining when preventive maintenance is needed. He believes that fuel consumption is a good indicator of possible breakdowns; as trucks begin to run badly, they will consume more fuel. Unfortunately, the major determinants of fuel consumption are the weight of a truck and headwinds. Norm picks a sample of a single truck model and gathers data relating fuel consumption to truck weight. All trucks in the sample are in good condition. He separates the data by direction of the haul, realizing that winds tend to blow predominantly out of the west.

Although he can rapidly gather future data on fuel consumption and haul weight, now that Norm has these data, he is not quite sure what to do with them.

Required Tasks.  Please find below two regression results (East-West, and West to East) a regression of haul weight on mileage per gallon.  Write a report on the statistical test results covering the following areas:

  1. Identify the key issues in this case study.
  2. Briefly summarize the data (include an explanation of the results of descriptive statistics of the data, variable(s) included, how the data was collected, and any pertinent information about the data available in the case study).
  3. Discuss whether the results table of a linear regression of haul weight on mileage per gallon show any statistically significant relationship between the two. What values in the results table communicate this information?
  4. Discuss whether the two models provide useful information about the relationship between mileages and haul weight. Discuss which values in the results table you would use to assess the relationship.
  5. In what ways are the results of the East-West Haul, similar to the West-East Haul? In what ways are they dissimilar?  Does this provide any information about the effect of Wind on mileage
  6. Include a discussion on whether alternative methods (and variables) could be used to better assist management to anticipate maintenance issues with their trucks.
  7. In their reports students must include practical recommendations for future actions based on the results of the statistical analyses in the case study.

 

 

 

 

 

 

 

East-West Haul

Regression Statistics          
Multiple R 0.442193          
R Square 0.195534          
Adjusted R Square 0.080611          
Standard Error 0.392425          
Observations 9          
ANOVA            
  df SS MS F Significance F  
Regression 1 0.26202 0.26202 1.70143 0.23335  
Residual 7 1.07798 0.15400      
Total 8 1.34        
  Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 6.26478 1.33383 4.69682 0.00222 3.11077 9.41880
Haul Weight -0.00005 0.00004 -1.30439 0.23335 -0.00013 0.00004

 

 

 

West-East Haul            
Regression Statistics          
Multiple R 0.061928          
R Square 0.003835          
Adjusted R Square -0.120686          
Standard Error 0.317391          
Observations 10          
ANOVA            
  df SS MS F Significance F  
Regression 1 0.00310 0.00310 0.03080 0.86505  
Residual 8 0.80590 0.10074      
Total 9 0.80900        
             
  Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 4.51923 1.54615 2.92290 0.01921 0.95381 8.08465
Haul Weight 0.00001 0.00004 0.17550 0.86505 -0.00009 0.00010

 

Work out the nth terns of the sequence in terms of x

Question 1 a) i) The following sequence is a quadratic sequence, work out the all the values of x, leave you answer in the form v where a and b are integers.
4x+8 , 5×2-12 , 2)(2+10 , 4x-6
ii) Hence work out the nth terns of the sequence in terms of x

Are all the numbers in the story given with meaningful units, or is the meaning of some of the units unclear?

Find a news story that involves numerical data. Are all the numbers in the story given with meaningful units, or is the meaning of some of the units unclear? Briefly summarize how well (or how poorly) the news story uses units.

Correlate between countries with different income

IB Internal Assessment Maths IA, Use of Pearson and Spearman Correlations. Rank 15 countries in 3 different income classes such as HIC, MIC, LIC on things such as infant mortality rate etc…