Create a logistic regression model based on Equation (7.8) to predict the probability of a malignant cell from the grouped radius data in Table 7.3.
a. What are the maximum likelihood estimates b0 and b1?
b. Substitute b0 and b1 into Equation (7.9) to estimate the probability of malignancy when the radius is 4.5.
c. Use Wald€™s test and the G-statistic to determine if this model provides evidence that the probability of malignancy is related to cell radius.
Table 7.3 Cancer cell data classified into groups based on the size of the radius.

Median radius Benign MalignantProportion (n) Malignant 115 152 119 2.5 3.5 113 140 85 17 0.017 0.079 0.286 4.5 43 121 212 123 569 6.5 0.984 Total 357