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A survey of maple trees in three large forests was done to investigate the presence of Tar Spot, a fungus that affects the leaves of maple trees. A summary of the survey is in the table below. Forest 1 Forest 2 Forest 3 Tar Spot 91 62 108 No Tar Spot 487 242 287 (Data in StatPowers) Use two indicator (dummy) variables to code the forest. Let 'indicator2' be 1 for forest 2, and 0 otherwise, let indicator3' be 1 for forest 3 and 0 otherwise. With this coding, the logisitic regression model will use the intercept for forest 1, the intercept plus the coefficient of the first indicator variable for forest 2, and the intercept plus the coefficient of the second indicator variable for forest 3. Include at least 3 decimals of precision (a) Run the multiple logistic regression. Give the coefficient estimates here: log-odds(gambling) = indicator2 + indicator3 (b) What are the log-odds for tar spot in Forest 1? (c) What are the log-odds for tar spot in Forest 2? (d) What are the log-odds for tar spot in Forest 3