The maximum discount value of the Entertainment® card for the "Fine Dining" section for various pages is given in the table below.

Page number | Maximum value ($)

4 | 15

14 | 19

25 | 16

32 | 18

43 | 18

57 | 16

72 | 17

85 | 15

90 | 16

Let page number be the independent variable and maximum value be the dependent variable.

Calculate the least-squares line. Put the equation in the form of:
ŷ = a + bx. (Round your answers to three decimal places.)

idk

step-by-step explanation:

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal