A logistic regression model was proposed for classifying common brushtail possums into their two regions. The outcome variable took value 1 if the possum was from Victoria and 0 otherwise. Estimate SE Pr(>|Z|) (Intercept) 31.1256 9.7822 3.1819 0.0014 sex_male -1.3917 0.6456 -2.1557 0.0312 skull_width -0.2782 0.1243 -2.2381 0.0252 total_length tail_length 0.5529 0.1337 4.1354 -1.8147 0.3636 -4.9909 (a) Write out the form of the model. log_odds(Victoria) = sex_male - skull_width + total_length + tail_length Also identify which of the variables are positively associated when controlling for other variables. O skull_width sex_male O total_length tail_length (b) Suppose we see a brushtail possum at a zoo in the US, and a sign says the possum had been captured in the wild in Australia, but it doesn't say which part of Australia. However, the sign does indicate that the possum is male, its skull is about 64 mm wide, its tail is 40 cm long, and its total length is 85 cm. What is the reduced model's computed probability that this possum is from Victoria?
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![A logistic regression model was proposed for classifying common brushtail possums into their two regions.
The outcome variable took value 1 if the possum was from Victoria and 0 otherwise.
Estimate
SE
Pr(>|Z|)
(Intercept)
31.1256
9.7822
3.1819
0.0014
sex_male
-1.3917
0.6456
-2.1557
0.0312
-2.2381
skull_width
total_length
tail_length
-0.2782
0.1243
0.0252
0.5529
0.1337
4.1354
-1.8147
0.3636
-4.9909
(a) Write out the form of the model.
log_odds(Victoria) =|
sex_male
skull_width +
total_length
+
tail_length
Also identify which of the variables are positively associated when controlling for other variables.
O skull_width
O sex_male
total_length
tail_length
(b) Suppose we see a brushtail possum at a zoo in the US, and a sign says the possum had been captured in
the wild in Australia, but it doesn't say which part of Australia. However, the sign does indicate that the
possum is male, its skull is about 64 mm wide, its tail is 40 cm long, and its total length is 85 cm. What is
the reduced model's computed probability that this possum is from Victoria?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54947304-f831-41a1-b5f6-b8a6e9faef54%2F6cadd501-b05f-4f20-bc52-f83393f6ff6a%2Fl8osqyn_processed.png&w=3840&q=75)
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