 |
|---|
SELECT PAGE NO.
No Books/Pages Are Available |
SELECT PROBLEM NO. FOR THE PAGE |
| PAGE: 675 | SET: Exercises | PROBLEM: 58 |
The equation of least squares regression line is 
.
The system of equations are
(Equation 1)
(Equation 2)
Observe the graph, the 6 points 
are lie on the line graph, so n = 6.
(Expand of 
)
(Substitute values of x - coordinates) 
(Expand of 
)
(Substitute values of y - coordinates)
(Expand of 
)
(Substitute values of square of x - coordinates)
(Expand of 
)
(Substitute values of xi yi) 
(Write equation 1)
(Substitute 
)
(Write equation 2)
(Substitute 
)
Elimination Method: Change the system of equations are
(Write equation 3)
(Write equation 4)
Neither variable has a common coefficient.The coefficient of the b - variables are 6 and 15 and their least common multiply is 30, so multiply each equation by the values 5 and 2 that will make the b - coefficient 30.
Subtract the equations to eliminate b - variable.
Write the equations in column form and add the corresponding columns.
The result value is 
.
Now, find the b value by substitute 
in either equations.
(Write equation 3)
(Substitute 
)
(Add 8.74 from each side)
(Divide each side by 6)
So, the equation of least squares regression line is 
.
The equation of least squares regression line is 
.
|
"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett |
|
"Your site is amazing! It helped me get through Algebra." Charles |
|
"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease |
Simply chose a support option
  
|