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In cases wherethe dependent variable can take any numerical value for a given set of independent variables multiple regression is used.But in cases when the dependent variable is qualitative(dichotomous,polytomous)then logistic regression is used.In Multiple regression the dependent variable is assumed to follow normal distribution but in case of logistic regression the dependent variablefollows bernoulli distribution(if dichotomous) which means it will be only0 or 1.
Yes they can.
Simultaneous equations are where you have multiple equations, often coupled with multiple variables. An example would be x+y=2, x-y=2. To solve for x and y, both equations would have to be used simultaneously.
True.
Beta is just the slope (B0 is the y-intercept), and you have Bn coefficients where n is the number of regressors. In other words, it is the amount of change in y you would expect with a given change in x. When you deal with multiple regression, you will have a matrix (just one column though, so a vector) of beta values corresponding to your regressors.