Statistics Project DescriptionThe goal of this culminating statistics project is to identify the factors that might have some influence on a chosen topic/variable. You will be collecting and analyzing data for three different variables using a secondary source. There will be one dependent variable and two independent variables for which data will be needed.For example, what are the factors that affect climate change? If climate change was your dependent variable, what could you pick for your independent variable? You will choose 2 factors that will create models that you can compare, to see if you can find a high correlation. Your final report and summary presentation will include the following sections.Section 1Dependent variable: Choose the main variable that you want to measure versus other variables. This will go on the vertical axis of your scatter plot. Provide rationale for why you chose this variable and brainstorm different variables that may impact it. Research the variable on the internet and collect data for at least 10 years (the more the better) or over at least 10 in the same year.Note: Statistics Canada is our most reliable source for data and one of the best sources to get a wide variety of data. Be sure to cite your source in proper MLA or APA format. You may want to revisit your Portfolio entry from Unit 5 Activity 2 for the data that you found from Statistics Canada. You can also revisit the tutorial video in that activity.Section 2Independent variables: Choose the independent variables that you want to measure against the dependent variable. You will find 2 different variables for which you can create a line of best fit with to test correlation. This will be your biggest challenge of the assignment. You need to find variables such that they overlap with the data that you chose for your dependent variable.For example: If you found the years 1990 to 2010 for your dependent variable, you will need to find those same years for each of your independent variables. If you had data across the provinces and territories for your independent variable for 2016, you will need data across the provinces and territories for 2016 for each of your independent variables.Section 3One variable measures with graphs and distributions: Describe each of the 3 of your variables (two independent and one dependent) by calculating and making reference to the measures of , , and creating a histogram and box plots. Describe the of your data as well. For each of the variables, describe the meaning of each of the measures as you state what they are.Section 4Two variable measures with linear models and correlations: Create 2 scatterplots, one for each of your independent variables. Create the linear model to describe the relationship. Describe the strength of the correlation and the meaning of the slopes and y-intercepts.Section 5Identify and remove relevant points: Identify one point on each scatter plot that has the greatest impact on the model by using residual plots. Describe the percentile that the point would be if the data was normally distributed, by using the mean, standard deviation and z-Score. Describe the impact of the point by comparing the new linear model to the original.Section 6Classification of correlation type: For each of the models, classify the correlation type as cause and effect, reverse cause and effect, accidental or common cause. Explain your choice and brainstorm possible common cause factors where applicable.Section 7Conclusions from linear models: Make conclusions from the two variable analysis taking into consideration the removal of points that are far from the line of best fit. Discuss the overall impact, if any, that the independent variables have on the dependent variable by referring to other sections of the report.Section 8Areas for improvement and recommendations for further exploration: Identify the areas of improvement in your study. If you had more time and resources, what are you still curious about that you may want to pursue further. Identify the possible biases in your investigation and overall how confident you are with your conclusions.Note: It is perfectly fine to say that the conclusions come with many red flags and should merely be used to begin a discussion on further studies.Take a moment to consider what a successful report must look like. Choose two of the sections, and comment on how you will know if you have been successful in this section. Refer back to this discussion when self-assessing your report before submitting.Consider the following questions:What counts/matters/is important when writing this section of the report?How will you know if it has been communicated with a high degree of understanding?PLAN:Search the internet and Statistics Canada for some potential variables that you will use in your investigation. You will first want to find a good dependent variable that you can get a lot of data for. It should be something you are interested in so that you get the most out of this assignment.After you find your dependent variable with as many data points as possible, search for the potential factors that may have a relationship with it. Consider a few steps ahead: What of correlation would it be, if a strong correlation is determined? Would the correlation be accidental? If so, this may not be a good choice as an independent variable. If there is no correlation, is that an interesting conclusion? If so, then it is likely a good choice for an independent variable.If you are having trouble finding 2 variables, you can think about considering a large general variable like the ones on the statistics for 42 Countries.After you have an idea of the variables you are going to study, share the description of the variables and where you are getting the data to your teacher.Dependent Variable:Choose the main variable that you want to measure versus other variables. This will go on the vertical axis of your scatter plot. Provide rationale for why you chose this variable and brainstorm different variables that may impact it. Research the variable on the internet and collect data for at least 10 years (the more the better) or over at least 10 in the same year.Be sure to cite your source in proper MLA or APA format.Independent Variables:Choose the independent variables that you want to measure against the dependent variable. You will find 2 different variables for which you can create a line of best fit with to test correlation. This will be your biggest challenge of the assignment. You need to find variables such that they overlap with the data that you chose for your dependent variable.For example: If you found the years 1990 to 2010 for your dependent variable, you will need to find those same years for each of your independent variables. If you had data across the provinces and territories for your independent variable for 2016, you will need data across the provinces and territories for 2016 for each of your independent variables.Be sure to cite your sources in proper MLA or APA format.One Variable Measures with Graphs and Distributions:Describe each of the 3 of your variables (two independent and one dependent) by calculating and making reference to the measures of , , and creating a histogram and box plots. Describe the of your data as well. For each of the variables, describe the meaning of each of the measures as you state what they are.Two Variable Measures with Linear Models and Correlations:Create 2 scatterplots, one for each of your independent variables. Create the linear model to describe the relationship. Describe the strength of the correlation and the meaning of the slopes and y-intercepts.Identify and Remove Relevant Points :Identify one point on each scatter plot that has the greatest impact on the model by using residual plots. Describe the percentile that the point would be if the data was normally distributed, by using the mean, standard deviation and z-Score. Describe the impact of the point by comparing the new linear model to the original.Classification of Correlation Type:For each of the models, classify the correlation type as cause and effect, reverse cause and effect, accidental or common cause. Explain your choice and brainstorm possible common cause factors where applicable.CONSOLIDATIONConclusions From Linear Models:Make conclusions from the two variable analysis taking into consideration the removal of points that are far from the line of best fit. Discuss the overall impact, if any, that the independent variables have on the dependent variable by referring to other sections of the report.Areas for Improvement and Recommendations for Further ExplorationIdentify the areas of improvement in your study. If you had more time and resources, what are you still curious about that you may want to pursue further? Identify the possible biases in your investigation and overall how confident you are with your conclusions.Note: It is perfectly fine to say that the conclusions come with many red flags and should merely be used to begin a discussion on further studies.Success Criteria and Learning Skills Self AssessmentHave you demonstrated a high level of understanding in each of the sections?Take each section from Portfolio and create your report using a word processing software. Include all graphs and tables as images in the report.Refer to the Rubric for the Statistics Report from your teacher. Are there any sections of the report that you can improve by adding more detail or by improving the clarity of your communication?Submit the file to your teacher as a .pdf.Submit your self-assessment to the drobox. Be sure to check back later as your teacher will provide you with feedback.
