Question

Plotting the relationship between the variables in a Logistic Regression will form a __________.

Straight Line

Sigmoid Curve

Answer : None of the mentioned

Answer 1

Sigmoid curve

Plotting the relationship between the variables in a Logistic Regression will form a sigmoid curve.

hope it helps you :-)

Answer 2

Answer:

Plotting the relationship between the variables in a Logistic Regression will form a Sigmoid curve

Explanation:

Logistic regression is considered as a linear model because the decision boundary it generates is linear, which can be used for classification purposes.

From the above graph, we can say that if $X_i \theta$ is greater than 0, then the output is 1, else 0.

• Logistic Regression is used to model the relationship between a set of independent variables and a dependent variable.

• Unlike Linear Regression, the dependent variable is categorical, which is why it’s considered a classification algorithm.

Logistic Regression could be used to predict whether:

• An email is spam or not spam
• A tumor is malignant or not
• A student will pass or fail an exam
• I will regret snacking on cookies at 12 am
• The applications listed above are examples of Binomial/Binary Logistic Regression where the target is dichotomous (2 possible values), but you could have more than 2 classes (Multinomial Logistic Regression).
• These classifications are made based on the probabilities produced by the model and some threshold (typically 0.5). E.g. A student is predicted to pass if her probability of passing is greater than 0.5.

The Sigmoid Function

• If we visualize a dataset with binary target variables, we’d get something like this:

There are a couple of reasons why fitting a line might not be a good idea here:

• In Linear Regression, the dependent variable could range from negative inf to positive inf, but we’re trying to predict probabilities which should be between 0 and 1.
• Even if we created some rules to map those out-of-bound values to a label, the classifier would be very sensitive to outliers which would have an adverse effect on its performance.

Reference Link

• https://brainly.in/question/34197089
• https://brainly.in/question/31384141