The clarity of Lake Tahoe in California is measured by the depth at which a white disk with diameter 10 inches re- mains visible when lowered beneath the water€™s surface. The clarities of Lake Tahoe in the winter and summer are shown in Table 28 for various years.

Let w be the clarity of Lake Tahoe in the winter and s be the clarity of Lake Tahoe in the summer, both in feet.
a. Construct a scatterplot, treating winter clarity as the explanatory variable.
b. Describe the four characteristics of the association. Compute and interpret r as part of your analysis.
c. Graph the model s = 1.16w - 25.47 on the scatterplot. Does it come close to the data points?
d. What is the slope? What does it mean in this situation?
e. Predict the summer clarity in years when the winter clarity is less than 80 feet.

Transcribed Image Text:

Table 28 Clarity of Lake Tahoe Clarity (feet) Winter Summer 99.4 90.8 84.6 70.6 73.0 93.5 74.9 75.5 64.1 51.9