Refer to the 2009 4-wheel-drive, 6-cylinder SUVs chart in Applied Example 3.4 on page 128 and the two variables gas tank capacity, x, and the cost to fill it, y.
a. If you were to draw scatter diagrams of these two variables, on the same graph but separate, for the SUVs that use regular and premium gasoline, do you think the two sets of data would be distinguishable? Explain what you anticipate seeing.
b. Construct a scatter diagram of tank capacity, x, and fill-up cost, y, for the SUVs using regular gasoline.
c. Construct a scatter diagram of tank capacity, x, and fill-up cost, y, for the SUVs using premium gasoline on the scatter diagram for part b.
d. Are the two sets of data distinguishable?
e. How does your answer in part a compare to your answer in part d? Explain any difference.