In a study of adults who had received radiation to the brain to treat brain cancer when they were children, researchers found that the cancer survivors tended to develop mild cognitive deficits typically seen in older people. The percent- ages of childhood brain cancer survivors who have mild cognitive deficits are shown in Table 30 for various ages.

Let p be the percentage of childhood brain cancer survivors at age a years who have mild cognitive deficits.
a. Construct a scatterplot.
b. Describe the four characteristics of the association. Compute and interpret r as part of your analysis.
c. Graph the model p = 2.02t - 25.00 on the scatterplot. Does it come close to the data points?
d. What is the slope? What does it mean in this situation?
e. Estimate at what ages less than half of childhood brain cancer survivors have mild cognitive deficits.

Transcribed Image Text:

Table 30 Percents of Childhood Brain Cancer Survivors Who Have Mild Cognitive Deficits Age 20 30 40 50 60 Percent 27 98