Show necessary calculation/justification for each answer.  a) In regression analysis, the residuals represent the: a. difference between the actual y values and their predicted values. b. difference between the actual x values and their predicted values. c. square root of the slope of the regression line. d. change in y per unit change in x.

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Show necessary calculation/justification for each answer. 

a) In regression analysis, the residuals represent the:
a. difference between the actual y values and their predicted values.
b. difference between the actual x values and their predicted values.
c. square root of the slope of the regression line.
d. change in y per unit change in x.


b) The least squares method for determining the best fit minimizes:
a. total variation in the dependent variable
b. sum of squares for error
c. sum of squares for regression
d. All of these choices are true.


c) The regression line has been fitted to the data points (4, 8), (2, 5), and (1, 2).
The sum of the squared residuals will be:
a. 7
b. 15
c. 8
d. 22

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