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vocab

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
model   an equation or formula that simplifies and represents reality  
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linear model   a linear model is an equation of a line, need to know the variables along with their W's and their units  
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predicted value   the value of yhat for a given x-value in the data, a predicted value is found by substituting the x-value in the regression equation  
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residuals   the differences between data values and the corresponding values predicted by the regression model - or more generally values predicted by any model  
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least squares   specifies the unique line that minimizes the variance of the residuals or equivalently the sum of the squared residuals  
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regression to the mean   because the correlation is always less than 1.0 in magnitude each predicted yhat tends to be fewer standard deviations from its mean than its corresponding x was from its means which is called regression to the mean  
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regression line / line of best fit   yhat - bnot +bonex  
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slope   bone gives a value in "y-units per x-unit"  
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intercept   bnot gives a starting value in y-units, found from bnot = ybar - bonexbar  
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