Solution Found!
Refer to Exercise.The equation (deterministic) for a
Chapter 11, Problem 4E(choose chapter or problem)
Problem 4E
Refer to Exercise.
The equation (deterministic) for a straight line is
y = β0 + β1x
If the line passes through the point (-2, 4), then x = -2, y = 4 must satisfy the equation; that is,
4= β0 + β1(-2)
Similarly, if the line passes through the point (4, 6), then x = 4, y = 6 must satisfy the equation; that is,
6= β0 + β1x(4)
Use these two equations to solve for β0 and β1 ; then find the equation of the line that passes through the points (-2, 4) and (4, 6).
Find the equations of the lines that pass through the points listed in Exercise.
In each case, graph the line that passes through the given points.
a. (1, 1) and (5, 5)
b. (0, 3) and (3, 0)
c. (-1, 12) and (4, 2)
d. (-6, -32) and (2, 6)
Questions & Answers
QUESTION:
Problem 4E
Refer to Exercise.
The equation (deterministic) for a straight line is
y = β0 + β1x
If the line passes through the point (-2, 4), then x = -2, y = 4 must satisfy the equation; that is,
4= β0 + β1(-2)
Similarly, if the line passes through the point (4, 6), then x = 4, y = 6 must satisfy the equation; that is,
6= β0 + β1x(4)
Use these two equations to solve for β0 and β1 ; then find the equation of the line that passes through the points (-2, 4) and (4, 6).
Find the equations of the lines that pass through the points listed in Exercise.
In each case, graph the line that passes through the given points.
a. (1, 1) and (5, 5)
b. (0, 3) and (3, 0)
c. (-1, 12) and (4, 2)
d. (-6, -32) and (2, 6)
ANSWER:Step 1 of 4
a)
Given that the line passes through the point (1,1) is given by , and the
line passes through the point (5, 5) is given by . Solving these two
equations, we get
Substituting these values in the equation, , then the required equation is