Listed below are amounts of court income and salaries paid to the town justices. all amounts are in thousands of dollars. construct a scatterplot, find the value of the linear correlation coefficient r, and find the p-value using alphaαequals=0.050.05. is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? based on the results, does it appear that justices might profit by levying larger fines?

court income 66.0 406.0 1566.0 1130.0 271.0 252.0 110.0 151.0 32.0

justice salary 29 45 92 57 46 62 25 26 18

what are the null and alternative hypotheses?

construct a scatterplot.

idk but i found this "the graph of y = f(x-2) is the graph of y = f(x) translated two units rightward.  

so, since the point (9,2) lies on the graph of y = f(x), the point (11,2) lies on the graph of y = f(x-2)."

step-by-step explanation:

link is

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).