The mean annual U.S. per-person consumptions of lower fat and skim milk and the mean annual U.S. per-person consumptions of whole milk are shown in Table 66 for various years.

Let L be the mean annual consumption of lower fat and skim milk, and let W be the mean annual consumption of whole milk, both in gallons per person.
a. Compare the values of L with the values of W by constructing a scatterplot by hand. Assume L is the explanatory variable.
b. Describe the four characteristics of the association. Compute and interpret r as part of your analysis.
c. Draw a linear model on your scatterplot.
d. Assuming time has no effect on the data, predict the mean annual per-person consumption of whole milk if the mean annual consumption of lower fat and skim milk is 10 gallons per person.

Transcribed Image Text:

Table 66 Mean Annual U.S. Per-Person Consumptions of Lower Fat and Skim Milk, Whole Milk Mean Annual Consumption (gallons per person) Year Lower Fat and Skim Milk Whole Millk 1955 1965 1975 1985 1995 2005 2010 2.9 3.7 8.1 12.3 15 3 14.1 14.8 33.5 28.8 21.7 14.3 8.6 7.0 5.6