Change in the Gross domestic product in the U.S. as it relates to the population size

1.Either a title page or a header on the first page of your paper that contains the project name, your name, the class name, the date, and the current semester.  

2.This is a paper, so it should be written in paragraph format. Using APA or MLA formatting, complete sentences, proper grammar, and sentence structure.  
3.Tell us why you were interested in studying the relationship between these two variables and why you think the results of this type of study could be important/interesting to others.  
4.The research question that you had approved in your project proposal. ( In this paper, I will be studying the relationship between the change in the Gross domestic product in the U.S. as it relates to population size)
5. Tell your independent and dependent variables (Independent populaton size_(working age and year)_ and _ Dependent GDP_(working age and year), and define them in detail including the units used, using the wording you had approved in your project proposal. You must also tell what the symbol (x, y, etc.) you assigned to each.  
6.Tell the population that the research question is looking at (the overall group that the model will be making predictions about) and define them in detail including the units used, using the wording that you had approved in your project proposal.  Target population: GDP in the United States compared to population size
7. Tell how you collected your data in detail. Include information such as the group that the data was collected from, how the data was collected, how many data points you gathered, if you sampled people yourself tell the exact survey question you used, if you got data from a website tell the site and reference it in a reference page, etc.  
8. A scatterplot of just the data. You should tell what you believe the shape is of the data based on the graph (exponential, logarithmic, linear, quadratic, cubic, quartic, or other polynomic relationship).  
9. Find the r-squared values for each model type that we studied (exponential, logarithmic, linear, quadratic, cubic, quartic, or other polynomic relationship). The value that is furthest from 0 is the model that best fits the data. Tell in your paper the r-squared value for the model that best fits your data and interpret it (you should include all of the r-squared values that you found in the appendix).    
10. Find the equation of the regression model that best fits your data (exponential, logarithmic, linear, quadratic, cubic, quartic, or other polynomic relationship).  
11. A scatter plot of the data with the model that best fits your data graphed on it.  
12. Choose one of the independent numerical values you collected, one of the independent values from the table, plug that number into your model, and find the solution. Compare the answer that you found with the model, to the actual dependent value you collected and listed in your table (this is you checking how accurate the model is at finding the actual values). Make sure that you tell the solution in sentence format in terms of the variables you are studying. Based on this, do you think the model is able to make good predictions?
13. Choose one independent numerical value that is not a number included in the independent values in your data table. Plug that number into your model and find the solution. (This is you making a prediction about something not in your table). Make sure that you tell the solution in sentence format in terms of the variables you are studying. Do you think the model was able to make a good prediction here?
14. In the conclusion, discuss your results, discuss anything you think might have affected the outcome of your study, tell ways that the study could be improved, etc.  
15. Reference Page that includes anything you used to write your paper, such as your textbook 
16. An appendix that includes a table of the data you collected, all of the r-squared values, all calculations you made, any additional graphs or calculations you reference in your paper but do not include in the actual paper, etc. 

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