The accompanying table lists weights (in pounds) of plastic discarded by a sample of households, along with the sizes of the households. The presence of a correlation implies that we can predict population size by analyzing discarded garbage (information that is important to the Census Bureau). The value of the correlation coefficient r = 0.8424.
- Find the regression equation for the above data, and use it to predict the size of a household that discards 0.50 pounds of plastic.
Solution: Using Excel we find the following information
From the Excel table, we find that the regression equation is
To predict the size of a household that discards 0.50 pounds of plastic we simply evaluate the previous equation at. We get