The number of different types of drinks that a barista makes in one week is related to the cost of the drink. A collection of data on the cost of a particular drink and the number of that drink made over the course of the week is shown in the table below, where x represents the cost of the drink, in dollars, and y represents the number of drinks made at each cost.
x
y
1.85
97
2.10
84
2.45
66
3.25
70
3.50
65
3.65
58
4.15
51
4.45
40
4.70
44
5.10
27

Using a residual plot, determine if the following model is a good fit for the data.

A.
Yes. The model is a good fit because the residual plot has a random pattern.
B.
No. The model is not a good fit because the residual plot does not have a random pattern.
C.
Yes. The model is a good fit because the residual plot does not have a random pattern.
D.
No. The model is not a good fit because the residual plot has a random pattern.

13875138answer:

step-by-step explanation:

use a calculator!

one way is to plot 2 points and connect them which is what the answer choices seem to be doing

it seems to be using the y intercept and the slope

y=mx+b, m=slope, b=y-intercept (where the line hits the y axis)

slope=rise/run

y-intercept is where the line croses the y axis which is the y value where x=0

you seem to have given the wrong slope (you didn't put a number in front of te x, it should be 2/3 or 3/2 looking at the answer options)

y=? x-1

m=? because of your fault

b=-1

so it has a slope of ? and y intercept of -1, meaning it pases through (0,-1)

so draw point (0,-1) (so answer is one of the first 2 option)

if slope is 2/3, then go up 2 and right 3 then draw line through those 2 points

if slope is 3/2, then go up 3 and right 2 then draw line through those 2 points

b) yes

step-by-step explanation:

let the statements be named as,

statement 1: if the power has been cut, then the refrigerator does not work.

statement 2: the refrigerator does not work.

conclusion: the power has been cut

now, 'law of detachment states that if we have the statements given as,

1. if p, then q.

2. p

then, we get the true statement or conclusion as q'.

thus, on comparing, we get that,

p: if the power has been cut.

q: the refrigerator does not work.

so, the argument is true by the law of detachment.