Math Portal
Introductory Statistics
Project 2 - Instructions
Instructions
As you complete each task below, check it off. Answer all questions in your PowerPoint presentation. Pay attention to what is to be included on each slide as you go through the process.
_____ Slide 1 - Statistical Question.
Decide on a statistical question to research. The question must be of the form Is there a relationship between this and that? This will be the opening slide of the presentation, so include the authors name on this slide as well. Note: This study will be bivariate in nature and you may want to review that content.
_____ Slide 2 - Population and Sample.
Decide on the population from which you will select your samples. For example, if your samples come from a selection of randomly chosen boxes of cereal, then your population is all boxes of cereal. Or if you choose to watch customers entering the North Olmsted Wal-Mart for a specific length of time, your population is all customers at the North Olmsted Wal-Mart. On this slide, describe your population and your sample in detail. Include the size of your sample(s). You need to have at least 30 pairs of observations (or data points) for this study to be valid.
_____ Slide 3 - Description of Data
Your variables must be numerical for this study. Describe and classify both your independent and dependent variables for your study.
_____ Slide 4 - Sampling Technique and Data Collection Procedure.
This will be an observational study. You need to select your samples according to one of the methods defined in the SAMPLING TECHNIQUES section on the website. State the sampling method you used and describe in detail how you chose your sample. Just saying you chose them randomly or that you stratified is not sufficient. Describe how you went about randomizing or stratifying, etc. More points are earned for probability methods than for non-probability methods. For example: Stratified Random Sampling earns twice as many points as Convenience Sampling. Be detailed in the description of how you observed and measured the values for your variables. Someone reading or hearing your description should be able to repeat what you did because you described it so well.
_____ Slide 5 - Data Table.
After you collect your data (at least 30 observations/pairs of measurements), create a table and display the data values you collected. Your data should be presented in a well-formatted table. You can use a table in Word or Excel to do this and then copy it onto this slide in your PowerPoint presentation.
_____ Slide 6 - Scatter Plot with Line of Fit.
Create a scatter plot from your data and add the line of best fit. You may use a Scatter Plot App or any online resource. Copy just the scatter plot with the line of fit and paste it onto this slide.
_____ Slide 7 - Description of Correlation and R.
Looking at the results on the scatter plot with the line of fit, describe the correlation. Is it increasing, decreasing, linear, curved, have outliers, etc. Give the Correlation Coefficient (R) value and describe if it tells us the relationship is weak, moderate or strong, and explain why.
_____ Slide 8 - Equation of the Line of Fit and R2.
Include the equation of the line of fit and the coefficient of determination (R 2). Describe what the coefficient of determination (variance) tells us about our data and how well it makes predictions. Explain what the slope and y-intercept of your line of fit mean in the context of your study.
_____ Slide 9 - Descriptive Statistics.
Identify the mean (x-bar) and the sample standard deviation for each variable of your sample. Create a confidence interval for the means of the two variables in your study. Explain what the confidence intervals tell you and what the level of your confidence really means in the context of your study.
_____ Slide 10 - Conclusion.
Draw a conclusion from the data collected, the resulting graphs and numerical summaries. Identify any significant weaknesses to your study. Describe this conclusion (answer to the original question).
Instructions
As you complete each task below, check it off. Answer all questions in your PowerPoint presentation. Pay attention to what is to be included on each slide as you go through the process.
_____ Slide 1 - Statistical Question.
Decide on a statistical question to research. The question must be of the form Is there a relationship between this and that? This will be the opening slide of the presentation, so include the authors name on this slide as well. Note: This study will be bivariate in nature and you may want to review that content.
_____ Slide 2 - Population and Sample.
Decide on the population from which you will select your samples. For example, if your samples come from a selection of randomly chosen boxes of cereal, then your population is all boxes of cereal. Or if you choose to watch customers entering the North Olmsted Wal-Mart for a specific length of time, your population is all customers at the North Olmsted Wal-Mart. On this slide, describe your population and your sample in detail. Include the size of your sample(s). You need to have at least 30 pairs of observations (or data points) for this study to be valid.
_____ Slide 3 - Description of Data
Your variables must be numerical for this study. Describe and classify both your independent and dependent variables for your study.
_____ Slide 4 - Sampling Technique and Data Collection Procedure.
This will be an observational study. You need to select your samples according to one of the methods defined in the SAMPLING TECHNIQUES section on the website. State the sampling method you used and describe in detail how you chose your sample. Just saying you chose them randomly or that you stratified is not sufficient. Describe how you went about randomizing or stratifying, etc. More points are earned for probability methods than for non-probability methods. For example: Stratified Random Sampling earns twice as many points as Convenience Sampling. Be detailed in the description of how you observed and measured the values for your variables. Someone reading or hearing your description should be able to repeat what you did because you described it so well.
_____ Slide 5 - Data Table.
After you collect your data (at least 30 observations/pairs of measurements), create a table and display the data values you collected. Your data should be presented in a well-formatted table. You can use a table in Word or Excel to do this and then copy it onto this slide in your PowerPoint presentation.
_____ Slide 6 - Scatter Plot with Line of Fit.
Create a scatter plot from your data and add the line of best fit. You may use a Scatter Plot App or any online resource. Copy just the scatter plot with the line of fit and paste it onto this slide.
_____ Slide 7 - Description of Correlation and R.
Looking at the results on the scatter plot with the line of fit, describe the correlation. Is it increasing, decreasing, linear, curved, have outliers, etc. Give the Correlation Coefficient (R) value and describe if it tells us the relationship is weak, moderate or strong, and explain why.
_____ Slide 8 - Equation of the Line of Fit and R2.
Include the equation of the line of fit and the coefficient of determination (R 2). Describe what the coefficient of determination (variance) tells us about our data and how well it makes predictions. Explain what the slope and y-intercept of your line of fit mean in the context of your study.
_____ Slide 9 - Descriptive Statistics.
Identify the mean (x-bar) and the sample standard deviation for each variable of your sample. Create a confidence interval for the means of the two variables in your study. Explain what the confidence intervals tell you and what the level of your confidence really means in the context of your study.
| Descriptive Statistics | Independent Variable | Dependent Variable |
| Mean | ||
| Standard Deviation | ||
| Confidence Interval (n%) |
_____ Slide 10 - Conclusion.
Draw a conclusion from the data collected, the resulting graphs and numerical summaries. Identify any significant weaknesses to your study. Describe this conclusion (answer to the original question).