In: Math
1) What are the 2 variables in a Regression Analysis and what are their levels of measurement?
2) What is the Chi-Square Goodness of Fit test and why would it be applied to a data set?
1)
Multiple linear regression attempts to model the relationship between two or more explanatoryvariables and a response variable by fitting a linear equation to observed data. Every value of the independent variable x is associated with a value of the dependent variable y.
So, two variable are dependent and independent variable.
Nominal: In this level of measurement, numbers are used to categorize the data. For example, if gender is your variable, the responses will be male or female. A dichotomous nominal variable has only two categories.
Ordinal: Ordinal level variables have a meaningful order to them such as rank. For example there is an order to “drink size” (small, medium, large), however there is not a consistent distance between sizes.
Scale: Numeric variables that have equal intervals between each value, for example age.
Linear regression: Dependent variable is scale; predictor(s) scale or nominal
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