(b) As a pedagogical exercise, find the correlation, r, step by step. You may wish to round off to two decimal places in each step. First, obtain the mean and standard deviation of each variable. Second, compute the four standardized values
for each variable. Finally, use the formula for r. Use your calculator or software to obtain and check that you get the
same result as in your hand calculations, up to roundoff error (linter your answer rounded to two decimal places),

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.