Create a logistic regression model to predict the probability of a malignant cell from the grouped radius data in Table 7.3.
a. Use software to calculate the Pearson residuals.
b. Create a histogram and/or a normal probability plot of these residuals. Are the residuals normally distributed?
c. Create a scatterplot of the Pearson residuals versus radius. How accurate are the estimates when radius is 2.5 and when radius is 4.5?
Table 7.3 Cancer cell data classified into groups based on the size of the radius.

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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