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A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
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Answer:
In agricultural research we are often interested in describing the change in one variable
(Y, the dependent variable) in terms of a unit change in a second variable (X, the independent
variable). Regression is commonly used to establish such a relationship. A simple linear
regression takes the form of
Y$ = a + bx
where is the predicted value of Y for a given value of X, a estimates the intercept of the
regression line with the Y axis, and b estimates the slope or rate of change in Y for a unit change
in X.
Y$
The regression coefficients, a and b, are calculated from a set of paired values of X and
Y. The problem of determining the best values of a and b involves the principle of least squares.
10.1 The Regression Equation
To illustrate the principle, we will use the artificial data presented as a scatter diagram in
Figure 10-1.
Figure 10-1. A scatter diagram to illustrate the linear relationship between 2 variables.
Because of the existence of experimental errors, the observations (Y) made for a given set of
independent values (X) will not permit the calculation of a single straight line that will go