Tony believes that the more time he spends at the record store, the more money he tends to spend. to see if he is correct, he kept a record of his recent purchases each time he visited the record store and displayed them in the scatter plot below. he also determined the line of best fit.

the equation of the line is y=2.4 x - 1.8
record store visit
based on the graph shown, which of the following statements are true?
select three that apply.

a
the line of best fit will have a positive correlation coefficient.

b
each additional minute tony spends in the record store is associated with an additional cost of $2.40.

c
the correlation coefficient for the line of best fit is 2.4.

d
if tony stays for 30 minutes in the record store, it is likely he will spend $70.

A, B, D

Step-by-step explanation:

It's not C because the correlation coeffecient connot be greater than 1 or less than -1.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)