Grade 12 UMMATIVE PROJECT Overview Design a question exploring the relationship between two quantitative variables Collect either primary or secondary data Interpret, analyze and summarize the data using skills developed in the course (particularly one-variable and two-variable analysis) Draw conclusions from your analysis and assess the validity of your results More Specific Expectations: Data Collection Collect data for two variables that you think might have a correlation. You should have a reasonably large data set (i.e. at least 25 pairs of numbers) and your raw data must be submitted with your work Remember that, for this to work, both variables need to be quantitative! . Identify your independent and dependent variables and classify them as discrete or continuous Describe the sample, sampling technique and data collection method (if possible) identify possible sources of bias with sample and/or data collection One-Variable Analysis For each individual variable, calculate the mean, median and mode and explain what they mean in relation to your data For each individual variable, create a bar graph or histogram Identify the type of distribution for each variable For each individual variable, calculate the range, interquartiles range, standard deviation and relative standard deviation and explain what they mean in relation to your data Identify any outliers Comment on which of the calculations in this section would be most affected by outliers Two-Variable Analysis Create a scatterplot of the two variables, Identify the equation of the line of best fit Use r to determine if there is a curve that fits the data better. Find the correlation coefficient . Find the residuals and create a residual plot Identify any outliers and/or influential points Discuss what kind of influence any outliers or influential points are having on your results from this section No calculations need to be done by hand! Everything can be done with spreadsheet formulas. Conclusion Write a paragraph that briefly reviews all of your findings and then conclude whether or not there is a correlation between your two variables. If there is a correlation, speculate as to whether it is an accidental, common cause or cause and effect relationship, Discuss limitations to your results and/or how future studies could be improved