Phoenix Medicare payers Statistical Reasoning & Mathematical Modeling PPT The purpose of this assignment is to use skills you have learned throughout all f

Phoenix Medicare payers Statistical Reasoning & Mathematical Modeling PPT The purpose of this assignment is to use skills you have learned throughout all five weeks of the course. You will be able to apply what they have learned to solve a real world problem that you could use to in your future career.

Create a 5- to 6-slide presentation that must include:

One slide on the Introduction
Introduce your topic and question that you chose in Week 2.
Why did it interest you? How does it relate to life?
What should the audience learn from your presentation?
Three to four slides of your visuals
Show your tables, scatter plot, other 2 visuals, calculations, and any other evidence to support your conclusion(s) that you created in Week 3.
Explain what information in the data tables is not needed for your analysis.
Discuss what you can conclude from the visuals. How do these visuals support your conclusion?
One slide for a conclusion
Restate your topic and question and give your answer to the scenario.
How confident are you that your conclusion is sound?
What work would need to be done to increase your confidence?
Discuss what you learned from this project.

Include detailed speaker notes for each slide. Running head: STATISTICAL REASONING
Statistical Reasoning and Mathematical Modeling
Rabia Khaliq
September
Math 216
Rashmi Sharma
1
STATISTICAL REASONING
2
Statistical Reasoning and Mathematical Modeling
Statistical reasoning and mathematical modeling are imperative aspects utilized in the
process of making informed decisions (Garfield & Ben-Zvi, 2008). States that statistical
reasoning involves how individuals reason in respect to different statistical insights in the
process of creating statistical information through a combination of variant concepts involving
data. On the other hand, mathematical modeling encompasses the utilization of mathematical
language and concepts in making descriptions that assist in the statistical reasoning and making
an informed decision using data, for instance, in predicting the expected Medicare payers.
Three Visuals Based on the Data
1. Scatterplot
A ScatterPlot for Medicare Payers by Years
Number of Payers
70000
60000
50000
y = 2613.2x – 5E+06
R² = 0.9224
40000
30000
20000
10000
0
2002
2004
2006
2008
2010
2012
2014
2016
Years
Figure 1: The figure illustrates a Scatterplot for Medicare Payer by Years
Inference
From the chart, there has been an upward trend in the number of Medicare payers from
the year 2003 to 2014 depicting a linear growth of Medicare payers in the county. Besides, the
chart reveals no outliers as most of the data points fall on or close to the line of best fit.
STATISTICAL REASONING
3
2. Histogram
A Histogram for the Number of Medicare Payers
4.5
4
4
3.5
3
3
Frequency
3
2.5
2
1.5
1
1
1
0.5
0
0
35001-40000 40001-45000 45001-50000 50001-55000 55001-60000 60001-65000
Number of Payers
Inference
Based on the histogram above, 4 years out of the total 12 years recorded Medicare payers
between 55,001 and 60,000 Payers. Besides, 1 year recorded Medicare payers between 60,001
and 65,000 while 7 years revealed less than 55,000 Payers.
3. Pie Chart
STATISTICAL REASONING
4
Percentage Medicare Payers by Years
2014
10.77%
2003
6.08%
2004
6.38%
2013
9.89%
2005
6.80%
2006
6.85%
2012
9.68%
2007
7.36%
2011
9.73%
2010
10.19%
2009
8.74%
2008
7.53%
Inference
From the Pie chart above, the year 2010 recorded the highest percentage of the number of
Medicare payers at 10.19 percent of the total payer over the years. Subsequently, the year
2003 recorded the lowest number of Medicare Payer at 6.08 percent of the total Payers.
Prediction using Trend Line Equation
The trend line equation is
y = 2613.2x – 5E+06
To predict the number of Medicare Payers in the years 2015,
y = 2613.2*2015- 5E+06
Y= 265,598
Therefore, we are 95 percent confident on the calculated prediction on the number of expected
Medicare payer for the year 2015 would be 265,598. This is because the trend line equation used
a default alpha of 0.05; thus, a 95 percent confidence level.
STATISTICAL REASONING
5
Sample Mean
The sample mean is calculated as the total sum of the Medicare payers divided by the total
number.
Hence, the sample mean for the data is
= 586,055/12
= 48,838 Medicare Payers
STATISTICAL REASONING
6
Reference List
Garfield, J., & Ben-Zvi, D. (2008). Developing students’ statistical reasoning: Connecting
research and teaching practice. Springer Science & Business Media.

Purchase answer to see full
attachment