Question

The equation for a straight line (deterministic model) is y = Bo +Byx. If the line passes through the point (-6,1), then x = -6, y = 1 must satisfy the equation; that is, 1 = Bo +(-6). Similarly, if the line passes through the point (9,2), then x=9, y=2 must satisfy the equation; that is, 2 = Bo + B1(9). Use these two equations to solve for Bo and By; then find the equation of the line that passes through the points (-6,1) and (9,2). Find Bo and B1. By = Bo = (Simplify your answers. Type integers or simplified fractions.)

Answer 1

Let beta0=x and beta 1=y

Now

1=x-6y

2=x+9y

From above equations we get (on subtracting first equation from second equation) :-

1=3y

y= 1/3

On plugging value of y in above equation we get :-

x= 1+6y

= 1+6/3

=1+2

=3

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