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2248 Q3 MLR

QuestionAnswer
what is collinearity output from a regression model ? refers to diagnostic information that helps detect whether two or more independent variables are highly correlated with each other
problem known as multicollinearity
issue - high collinearity can distort the estimates of regression coefficients and make the model unreliable
what is variance inflation factor ? numerical measure used in multiple regression to detect multicollinearity
multicollinearity when independent variables are two highly correlated with each other
VIF variance inflation factor tells you how much the variance of a regression coefficient is increased because of multicollinearity
what is tolerance in a MRM ? tolerance is a statistic that also help detect multicollinearity - just like VIF variance inflation factor
what is multiple regression model's model as a whole ? refers to how well all the independent variables together explain the variability in the dependent variable
model as a whole evaluates the overall predictive power and fit of entire model, not just individual predictors
what does it mean at least one predictor will be significant ? referring to the result of overall F test
what happens when the IV's are highly correlated ? creates a problem called multicollinearity - and can seriously affect your analysis -unstable coefficients, inflated standard errors, hard to interpret individual effects
if one predictor has a larger coefficient than another this means ? it means that holding all other variables constant, a one unit increase in that predictor is associated with a larger change in the dependent variable that a one unit increase in the other predictor
what are standardised coefficients ? also called beta weights and standardised beta coefficients are regression coefficients that have been adjusted to remove the effects of the scale
standardised coefficients allow you to compare the relative importance of predictors, even if variables are measured in different units
where can we get overall model fit statistics on STATA? in stata, you can find the overall fit statistics after running running a regression using the regress command regress y x1 x2 x3
what is the null hypothesis foundational concept in statistics default assumption, there is NO effect, no difference and no relationship between variables
what is the F ratio ? stats term that comes from F test ratio of two variances, used to determine whether there are significant differences between groups, often in the context of analysis of variance ANOVA
F ratio variance btwn groups / variance within groups
what is the regression equation ? describes the relationship btwn a dependent variable and one or more independent variables
in its simplest form when there is one independent variable the regression equation is Y = bo+b1x +e
what is the rvfplot for a regression model ? RVF plot is a diagnostic tool used to evaluate the goodness of fit of a regression modl
rvfplot helps to check assumptions of linear regression such as linearity, constant variance, homoscedasticity and independence of errors
what is homoscedasticity ? a term used in regression analysis to describe a situation where the variance of errors (or residuals) is constant across all level of the independent variable(s)
in simpler terms, the spread or scatter of residuals (the diffferences between the observed and predicted values) remains roughly the same regardless of the value of the independent variable
What are individual predictors ? also known as independent variables or featuress are the variables used in a regression model to predict the value of the dependent variable (outcome)
each predictor represents a factor or characteristic that may have an impact on the dependent variable.
Created by: brendonpizarro1
 

 



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