-50 POINTS- (2/5) please no wrong answers for points. A) y = (9)/(2) x + (1)/(2) B) y = - (1)/(2) x + (7)/(2) C) y = -4x +9 D) y=4x+15

Question

-50 POINTS- (2/5) please no wrong answers for points. A) y =
`(9)/(2)` x +
`(1)/(2)` B) y = -
`(1)/(2) x + (7)/(2)` C)
`y = -4x +9` D)
`y=4x+15`

Answer 1

`\Large \boxed{y=-(1)/(2) x+(7)/(2) }`

Explanation:

Using a graph,

we can see that the line y = -1/2x + 7/2 best fits for the data.

Answer 2

This problem is about creating a linear regression model.

First, we should take note of the points:

(-4,8)

(-2,4)

(-1,2)

(1,5)

(2,2)

(6,-5)

(7,6)

It's necessary to find a equation y = ax + b that brings us the least MSE (Mean Squared Error). You can calculate at hand, but I bet it is going to be tiresome.

So, basically intuitively you just need to choose a line that fits closer to the given points.

First: remember if y = ax+b, a is the slope which means if a > 0 the line is " / " and a < 0 the line is " \ ".

A) No, this equation is " / "

B) It could be this one.

C) It could be this one too.

D) Nope. " / "

B) a = -1/2

C) a = -4

You can draw those two lines and see that B) gets closer to the points.

Equation:

Y = -0.4957*X + 3.780

Answer: B)