2. A researcher is studying how the height of children during early adolescence is affected
by milk consumption. She plots the heights (in inches) and the milk consumption in
cups per day) for a sample of children and wants to fit a least squares regression line to
the data. She calculates the following for this sample of children:
The correlation between milk consumption and height is 0.4.
The mean milk consumption is 4.0 cups per day.
The mean height is 60.0 inches.
The standard deviation of milk consumption is 1.5 cups per day.
• The standard deviation of heights is 3.0 inches!
What is the predicted height of a child who consumes 5 cups of milk per day?