Available Drink Sizes at a Convenience Store Year, Sizes Available (cm)
1973: 12, 20
1976: 12, 16, 20
1978: 12, 16, 20, 32
1983: 12, 16, 20, 32, 44
1988: 12, 16, 20, 32, 44, 64
2003: 12, 20, 32, 44, 64
2005: 20, 32, 44, 64
Step 1
Scatterplot
Year is on the horizontal axis and Sizes available is on the vertical axis.
The years range from 1973 to 2005, thus an appropriate scale for the horizontal axis is from 1970 to 2010.
The sizes range from 12 to 64, thus an appropriate scale for the vertical axis is from 10 to 65.
Result:
Years is on the horizontal axis and Sizes available is on the vertical axis.
Unusual points Each of the four scatterplots that follow shows a cluster of points and one “stray” point. For each, answer these questions:
1) In what way is the point unusual? Does it have high leverage, a large residual, or both?
2) Do you think that point is an influential point?
3) If that point were removed, would the correlation be- come stronger or weaker? Explain.
4) If that point were removed, would the slope of the re- gression line increase or decrease? Explain