( 2 , 6 ) , ( 3 , 12 ) , ( 4 , 15 ) , ( 5 , 21 ) We want to find the line t = m s + q , with slope m and y-intercept q , that best fits this data. Namely, we go ahead and try to solve the system A x = b with A = ⎡ ⎢ ⎢ ⎢ ⎢ ⎣ 2 1 3 1 4 1 5 1 ⎤ ⎥ ⎥ ⎥ ⎥ ⎦ , b = ⎡ ⎢ ⎢ ⎢ ⎢ ⎣ 6 12 15 21 ⎤ ⎥ ⎥ ⎥ ⎥ ⎦ and x = [ m q ] However, this system is very likely to be inconsistent. So instead we write down the normal equation A T A x = A T b and solve it to get the least squares solution x = [ m , q ] T .

c is the final answer! : )

3

step-by-step explanation:

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.