Statistics 3N03/3J04 - Assignment #1
"Never on Sunday"
Every morning from 1993-11-16 to 1995-01-19, I recorded the price per litre of regular gasoline at Sarah's Sunoco on Main Street West at Newton Avenue and at the Petro Canada station on Main Street West at Longwood Road. Click here to get the data.
This exercise reviews all the graphical methods from Chapter 6 of Montgomery & Runger. Use R to plot the graphs. See RHints to help you get started with this. Paste the graphs into MS Word, then add captions and some discussion to make a short report on the data.
- Make a scatter plot of the daily Sunoco prices against the daily Petro Canada prices.
- Draw a lag -1 scatter plot of the Sunoco data; that is, plot today's price on the Y-axis against yesterday's price on the X-axis, for each day.
- Give a comparative box plot showing the Sunoco price against day of the week.
- If
x(i) is the Sunoco price on day i, use function diff() to compute d(i) = x(i+1) - x(i), i.e. the change in price that occurred on day i. Draw a comparative box plot showing change in price against day of the week. - Display the Sunoco change in price on a histogram.
- Display the Sunoco change in price on a stem-and-leaf diagram.
- Display the Sunoco price on a time sequence plot.
- Display the Sunoco change in price on a time sequence plot.
- Plot change in price against price, for the Sunoco data.
- Can you think of any other graphs that would help to interpret these data?
- Explain what you have learned from each graphical display. Why did I call this "Never on Sunday"?