Final answer:
To test the goodness of fit of a GLM for the given data set of number of blocks used and age of the child, we can use statistical methods such as the deviance test, AIC, or the likelihood ratio test.
Step-by-step explanation:
To fit a GLM for the given data set, we consider the number of blocks used as the dependent variable (y) and the age of the child as the independent variable (x). The GLM stands for Generalized Linear Model, which is used to model the relationship between variables.
To test the goodness of fit of the model, we can use statistical methods such as the deviance test, AIC (Akaike Information Criterion), or the likelihood ratio test. These tests compare the observed data to the expected data based on the model and provide measures of how well the model fits the data.