Question 1) Assume that the probability of rain tomorrow is 0.4 if it is raining today, and assume that the probability of its being clear (no rain) tomorrow is 0.8 if it is clear today. Also assume that these probabilities do not change if information is also provided about the weather before today. a) Formulate the evolution of the weather as a Markov chain by defining its states and giving its (one-step) transition matrix. b) Draw the state transition diagram for this chain. c) Calculate the probability that it will rain three days from today given that it is raining today.
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.
course namwe : stochastic models
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