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S4.2 - Least-Squares Regression
Least-Squares Regression
9
Mathematics
Graduate
11/05/2013

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Term
Residual
Definition
The difference between the observed value of y and the predicted value of y; the error
Term
Residual =
Definition
Observed y - predicted y
Term
Least-squares regression line
Definition
The line that minimizes the sum of the squared residuals between the observed values of y and the predicted values of y
Term
Least-squares regression line, y hat =
Definition
b1x + b0
Term
Slope, b1 =
Definition
(r)(sy/sx)
Term
Intercept, b0 =
Definition
ybar - b1xbar
Term
Slope of a line =
Definition
Change in y/change in x
Term
We do not interpret the y-intercept if
Definition
1. 0 is not a reasonable value for the explanatory variable
2. No observations exist near x = 0 in the data set; outside scope of the model
Term
If the coefficient indicates no linear relation, we then use the _____ as the predicted value
Definition
Mean value of the response variable
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