Question 1: 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 presented in the table down below. 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 O otherwise. With this coding, the logistic 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. Please include at least 3 decimals of precision!!! Forest 1 Forest 2 Forest 3 Tar Spot 99 63 87 No Tar Spot 401 250 297

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Question 1: 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 presented in the table down
below. 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 logistic 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. Please include at least 3
decimals of precision!!!
Forest 1
Forest 2
Forest 3
Tar Spot
99
63
87
No Tar Spot
401
250
297
a) Run the multiple logistic regression. Give the coefficient estimates here: log-odds(gambling) =
%3D
*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?
Transcribed Image Text:Question 1: 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 presented in the table down below. 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 logistic 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. Please include at least 3 decimals of precision!!! Forest 1 Forest 2 Forest 3 Tar Spot 99 63 87 No Tar Spot 401 250 297 a) Run the multiple logistic regression. Give the coefficient estimates here: log-odds(gambling) = %3D *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?
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