(a) Describe in your own words how you would expect the data points on a scatterplot to be distributed (i.e. explain how they would look on a scatterplot) if the following features were present. (i) A potential outlier (ii) A negative correlation between the r and y variables (iii) A correlation coefficient of r = 0.9 (b) This question investigates the relationship between the time taken to upload a file to the eTMA system and the proximity to the cut-off deadline. A sample of 20 students who traditionally submit their eTMAs within the final hour were asked to record their 'time of submission' as the number of minutes before the cut-off deadline, and to record the time taken to upload their eTMA file in seconds. The results were displayed on a scatterplot with the regression line included. The time of submission was displayed on the horizontal axis, and the time taken to upload the file was displayed on the vertical axis. (i) The regression line for the investigation is y = -0.29x + 21.32. (1) What does the variable r represent here? (2) What does the variable y represent here? (ii) The correlation coefficient r for the investigation is -0.92. What does this tell you about the relationship between r and y? (iii) Use the regression equation from part (b)(i) to predict the time it takes to upload a file 21 minutes before the cut-off deadline. Give your answer to the nearest whole second. (iv) Can you conclude from this investigation that submission times closer to the deadline cause the time to upload a file to increase? Explain your