Quantitative Literacy Module 1 to Module 5 MAT 106 Complete Course
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Thursday, 30 July 2015

Quantitative Literacy Module 1 to Module 5 MAT 106 Complete Course

MAT106 MAT 106 Quantitative Literacy Module 1 to Module 5 MAT 106 Complete Course
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MAT 106  Quantitative Literacy Complete Course
MAT 106 Module 1 Unit 1 Assignment 1 Meet and Greet Your Classmates
Please provide some basics about yourself. Tell us about some of your interests, places you have lived, and about the people in your life. This is a chance for students and the instructor to learn more about one another and to collaborate.

In your post, please comment on how you plan to approach this class. How will you set aside time to study? How will you organize your study area? How have you successfully studied for math in the past?
MAT 106 Module 1 Unit 1 Assignment 2 Advertising Claims
In this assignment, look for and provide two advertisements that you think contain logical fallacies. Use any advertisement that you can find in magazines, on television, or from the Internet for this assignment.
Your two examples must represent two of the following logical fallacies:
1.      Appeal to Popularity
2.      False Cause
3.      Appeal to Ignorance
4.      Hasty Generalization
5.      Limited Choice
6.      Appeal to Emotion
7.      Personal Attack (ad hominem)
8.      Circular Reasoning
9.      Diversion (Red Herring)
10.  Straw Man
The goal is to examine statements critically, looking for logical flaws.
In your post, address the following questions:
·         What logical fallacies are represented in the advertisements you found?
·         What are some reasons for your skepticism?
·         Based upon your examination, how would you redo the advertisement to make it more truthful? Would this be possible?
Write your initial response in a minimum of 200 words. Apply APA standards to citation of sources.

MAT 106 Module 1 Unit 1 Assignment 3 MyMathLab Problems



MAT 106 Module 2 Unit 2 Assignment 1 Should You Believe a Statistical Study?
We are bombarded by statistical information from a wide variety of sources. Much of the statistical research performed in the world is conducted with a great deal of integrity, validity, and reliability. However, there are many statistical studies that are conducted that are—whether intentionally or unintentionally—plagued by bias.
As a member of society, and as a consumer, it is prudent to develop the skills necessary to critically examine reported statistical claims. Determining whether the report contains bias is a great way to determine the reliability of study results and make a better informed decision.
In this assignment, you will apply the guidelines found in the textbook Unit 5B “Should You Believe a Statistical Study? in order to critically analyze the content, design, and reported results of a statistical study.
Conduct an Internet search to find a study whose statistical results have been published in the news or any other public forum. Applying the following guidelines, critically analyze the study’s reported content and results.
1.      Identify the goal, population, and type of study.
2.      Who conducted the study? Is there bias here?
3.      Is there bias in the sample used in the study?
4.      Are there any problems in defining or measuring the variables of interest in the study?
5.      Are there any confounding variables present in the study?
6.      Are the results presented fairly?
7.      Is the study’s conclusion reasonable? Does it make sense? 
8.      Do the results make practical significance?
Write your initial response in a minimum of 200 words. Apply APA standards to citation of sources.
By Saturday, February 28, 2015, post your response to the appropriateDiscussion Area. Through Wednesday, March 4, 2015, review the postings of your peers and respond to at least two of them. Consider commenting on the following:
·         Do you agree with the student’s identification of bias in the study? Are there other sources of bias to consider?
·         Based upon the student’s analysis, and your review, would you accept the conclusion of this study?

MAT 106 Module 2 Unit 2 Assignment 2 MyMathLab Problems




MAT 106 Module 3 Unit 3 Assignment 1 Voting
The ultimate expression of freedom in the United States is the right to vote. This right is deeply treasured by many Americans, but there are those that take the process for granted. How is my vote counted? Do I have fair representation in Congress? Does my vote make a difference? These are the kinds of questions a concerned citizen must ask when considering the voting process. 
There are a number of different methods for counting votes used around the world ranging from majority rule to the constitutionally mandated electoral college used to determine the US presidency. In order to explore the complexities of the voting process and methods used to assure fairness, let's examine the following scenario:
In the near future, Congress and the states will abolish the process of voting at the polls in the United States. Instead, all citizens will cast their votes via an approved and secure smartphone app.
In your post, address the following questions:
·         Describe what changes you anticipate this would make to the accuracy, documentation, expense, and convenience of the voting process.
·         What method of fairness do you feel would be best suited to counting the votes in this process: majority rule or some other variation?
·         Explain whether this method of voting could be considered truly secure.
·         What are some unintended consequences that could arise from this method of casting votes?
When constructing your response, consider the theories, examples, and concepts discussed in your readings this module, and refer to them to support your conclusions.
Write your initial response in a minimum of 200 words. Apply APA standards to citation of sources.
By Saturday, March 7, 2015, post your response to the appropriate Discussion Area. Through Wednesday, March 11, 2015, review the postings of your peers and respond to at least two of them. Consider commenting on the following:
·         If this smartphone voting method was based solely upon the majority-rule method of voting, how could citizens ever really know if they are being fairly represented by elected officials?
·         Based upon what you've learned this module, is voting as straightforward as the general public might think?



MAT 106 Module 3 Unit 3 Assignment 2 LASA 1 Linear Regression
In this assignment, you will use a spreadsheet to examine pairs of variables, using the method of linear regression, to determine if there is any correlation between the variables. Afterwards, you will postulate whether this correlation reveals a causal relationship (and why).
Click here to open the Excel spreadsheet containing the data for this assignment. 
This spreadsheet contains the data from a study that attempted to see if there is a correlation between the hours that students studied and the grade that they earned on a test. The correlation test you are about to run will help you to determine if there is, in fact, a correlation between study time and test score. If you find a strong correlation, then you will postulate whether you feel this indicates a causal relationship.
Below are instructions on how to perform this correlation test in Microsoft Excel. 
In the Excel spreadsheet, perform the following operations:
1.      Save the spreadsheet to your computer. 
2.      With your mouse, highlight all of the data on the spreadsheet in columns A and B.
3.      In the tabs at the top of the page, click Insert.
4.      In the Insert ribbon, in the Charts section, click Scatter. Be sure to select the option where it will just plot dots, it will be called Scatter with only Markers. If you do this right, then you'll see a chart on the page.
5.      Now, on the chart, right-click on one of the data points (dots). Just pick a dot somewhere near the middle of the distribution.
6.      Select Add Trendline from the drop-down menu that appears when you right-click on a dot.
7.      A new menu will appear. Select Linear, select Automatic, and click the boxes next to Display Equation on chart and Display r-squared value on chart.
8.      Click Close.
9.      Now, you should see a line drawn through the dots. It will roughly cut through the middle of the dot distribution.
10.  You'll also see the linear regression equation and r2 value displayed next to the line. 
To see an example spreadsheet containing a completed analysis click here.
Now that you’ve completed your analysis and determined the linear regression formula and r2, it is now time to report on the results of your study and examine your findings.
In a Microsoft Word document, respond to the following:
1.      Report the sample you selected and the question that was explored in the study.
2.      Report the r2 linear correlation coefficient and the linear regression equation produced in the Excel spreadsheet.
3.      What would be the value of Pearson’s r (simply the square root of r2)?
4.      Would Pearson’s r be positive or negative? What does this imply about the relationship between the factors in this study?
5.      What is the implication of any correlation found between the variables in the study you picked?
6.      Does this correlation imply a causal relationship? Explain.
7.      Are there other variables that you think should have been examined that would have improved this study or helped to pinpoint what factors are causal?
For this assignment, you will submit a spreadsheet and a report. The spreadsheet will be the Microsoft Excel file containing your scatterplot and analysis. Name your Microsoft Excel file as follows: LastnameFirstInitial_M3_A2.xls.
The report will be a Microsoft Word document in which you will address all of the questions in this assignment in the form of a narrative.  Name your Microsoft Word document as follows: LastnameFirstInitial_M3_A2.docx.
MAT 106 Module 4 Unit 4 Assignment 1 The Pythagorean Theorem
Geometry is a very broad field of mathematics composed of a wide range of tools that can be used for problem solving. In this module, you are going to research three examples of the implementation of geometry that would employ the use of the Pythagorean Theorem as a problem-solving tool. 
The examples you find can come from several different fields of study and applications such as construction, city planning, highway maintenance, art, architecture, and communications, to name a few. The examples you find must clearly demonstrate the use of the Pythagorean Theorem as a tool. Your textbook—Chapter 10, “Modeling with Geometry”—would be a good reference to consult for some examples illustrating the use of the Pythagorean Theorem in applied situations.
For each example you share in your post, address the following:
·         Demonstrate the use of the Pythagorean Theorem in the solution of this problem.
·         How is the Pythagorean Theorem applied to help solve this problem in this application?
·         Why would the Pythagorean Theorem be applied instead of employing some other mathematical tool?
·         What tools, unique to this application, would be necessary to get the measurements needed to apply the Pythagorean Theorem?
·         Are there other geometrical concepts that are necessary to know in order to solve this problem?
·         Are there any modern tools that help solve this kind of problem that either provide a work around, or that rely heavily upon, the Pythagorean Theorem?
When constructing your response, consider the theories, examples, and concepts discussed in your readings this module, and refer to them to support your conclusions.
Write your initial response in a minimum of 200 words. Apply APA standards to citation of sources.
By Saturday, March 14, 2015, post your response to the appropriate Discussion Area. Through Wednesday, March 18, 2015, review the postings of your peers and respond to at least two of them. Consider commenting on the following:
·         What other geometrical tools do you feel are necessary to understand in order to solve the examples provided besides the Pythagorean Theorem?
·         Do you think we would have the technology that we have today without knowledge of mathematical problem-solving tools such as the Pythagorean Theorem? Explain.


MAT 106 Module 4 Unit 4 Assignment 2 MyMathLab Problems

MAT 106 Module 5 Unit 5 Assignment 1 LASA 2 Exponential Growth
In Module 4, you were introduced to the concept of exponential functions that can be used to model growth and decay. Recall what you learned in The Number electure. In this exercise, you will use a Microsoft Excel spreadsheet to calculate the exponential growth of a population of your choosing. (If you use the linked spreadsheet below, it is recommended that you consider relatively small populations and not those of entire nations.)
Click here to open the Microsoft Excel spreadsheet that you will use to perform the calculations for this assignment.
In the spreadsheet, perform the following operations:
1.      Input a population value into the box next to Initial Population on the spreadsheet. This population should be anything such as the people, animals, microorganisms, or plants.
2.      Input a rate of growth for your population into the box next to Rate 1. Since we are interested in a positive annual percent growth rate per year, this number should be greater than zero percent. Be sure to input this number in the form of a decimal.
3.      Repeat the above procedure for Rate 2 and Rate 3. Make sure that the values you select differ by two percent. For example, the values 0.01, 0.03, and 0.05 would be good choices.
4.      Under the Time (years) column, input three different year values. Make sure that your values increase by a minimum of ten years. For example, 10, 20, 30 years would be good choices. If you want to see a more dramatic change, select a longer time frame such as 10, 50, and 100 years.
5.      When you input all of your data, you’ll see that the spreadsheet has performed the calculations for the future size of each population, rate of growth, and time interval. Additionally, this information will be presented graphically in the chart. To draw an exponential curve for each series, do the following:
a.       Right click on the middle point for one of the series.
b.      Click on add trendline.
c.       Under Trendline Options, select Exponential.
d.      Click Close
e.       Repeat these steps for the other series.
Now that you’ve completed your analysis, it is now time to report the results and examine your findings.
In a Microsoft Word document, respond to the following:
1.      Calculate what the future size of the population will be, given a specific initial population, rate of growth, and time interval.
Use the exponential equation: Future value = Present value * exp(rt)
·          
o    exp is the base "e"
o    r = annual rate of growth expressed as a percent
o    t = years
Note: The spreadsheet performed these calculations for you, so you can check the answer you obtain with those in the spreadsheet. In order to perform this calculation, you’ll need to have access to a scientific calculator that will have an ex button in order to perform the exp(rt) calculation. There are a number of free scientific calculators available over the Internet. Additionally, all smartphones have calculator apps that have a scientific mode. Check with your instructor for a list of currently available free options if you do not own a scientific calculator.
2.      Repeat the calculation for at least two other values of t; make sure they are at least two years apart from one another. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.
3.      Repeat the calculations using two more selections of population growth rate; ensure that each population growth rate is at least two percent different than the others. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.
4.      Examine the graph that your spreadsheet produced based upon the calculations. Did this graph consist of straight lines or curved lines? Describe the shape of these lines for each growth rate. How did they differ? Why?
5.      Explain the implications of growth rate for your population. What do you think will happen over a long period of time if a given population of organisms is allowed to increase without limits? Are there environmental factors that keep populations from growing exponentially unchecked? What would be the impact on environmental resources? 
6.      Explain the likelihood of your results. Would it be expected that the percent growth rate would stay constant over long periods? Is exponential growth an appropriate assumption for long periods? If not, what other changes in population size might be expected?
For this assignment, you will submit a spreadsheet and a report. The spreadsheet will be the Microsoft Excel file containing your analysis. Name your Microsoft Excel file as follows: LastnameFirstInitial_M5_A1.xls.
The report will be a Microsoft Word document in which you will address all of the questions in this assignment in the form of a narrative. Name your Microsoft Word document as follows: LastnameFirstInitial_M5_A1.doc
MAT 106 Module 5 Unit 5 Assignment 2 Use and Misuse of Percentages
One of the concepts you encountered in the readings this module was how to recognize the use and misuse of information presented in the form of percentages. In this discussion assignment, you will conduct an Internet search to find several examples of the use of percentages. These can be examples of percentages used in advertising claims, reported results from a study, or information shared by a government agency.
In a minimum of 200 words, post to the Discussion Area your response to the following:
Find an example of two of the following types of usage of percentages.
·         Use of percentages as a fraction. Remember that this type will use the word of to imply multiplication. Explain whether this was an effective way to represent this information within the context of the example you found.
·         Use of percentages to describe change. In the example you find, determine whether the reported percentage demonstrated absolute or relative change. Show your work. Explain whether this was an effective way to represent this information within the context of the example you found.
·         Use of percentages for comparison. In the example you find, determine whether the reported percentage demonstrated absolute or relative change. Show your work. Explain whether this was an effective way to represent this information within the context of the example you found.
Now, find an example of two of the following misuses of percentages.
·         Use of a shifting reference value. In this situation, the base values are changing as differing values of percentages are applied as increases, decreases, or both. Percentage increases, decreases, or both do not have a cumulative effect. Be sure to demonstrate why your example fits this category.
·         Use of percentage to represent less than nothing. Look for an example where you are seeing a reduction of some percentage greater than 100. Be sure to demonstrate why your example fits this category.
·         Situation where the average percentage is reported. In general, you can not average percentages. The result isn’t representative of what actually has occurred in the situation in question. Be sure to demonstrate why your example fits this category.
By Sunday, March 22, 2015, post your response to the appropriate Discussion Area. Through Wednesday, March 25, 2015, review the postings of your peers and respond to at least two of them. Consider commenting on the following:
·         Examine each example that the student provided. Did these examples sufficiently demonstrate the ways that percentages are used and misused? Explain.
·         What have you learned regarding the necessity of carefully examining the percentages reported in advertising, news media, government reports, etc.?
·         MAT106 MAT 106 Quantitative Literacy Module 1 to Module 5 MAT 106 Complete Course
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