Mathematics, 06.07.2019 23:30, joshWash

What is the equation for the linear model in the scatter plot obtained by choosing the two points to the closest line? y=-1.5 x +6 yequals 1.5 x +6

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The correct answer was given: ggomez4

(4,12) (20,36)
slope = (36 - 12)/(20-4) = 24 / 16 = 3/2 = 1.5

y intercept (0,6) b = 6
equation
y = 1.5x + 6

answer
b. y = 1.5x + 6

The correct answer was given: needhelp243435

The correct option is

(A) y=-3.5x+57.5.

Step-by-step explanation: We are given to find the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line.

From the table and the scatter plot sown in the figure, we note that

the two points that are closest to the line are (5, 40) and (15, 5).

We know that

the slope of a line passing through the points (a, b) and (c, d) is given by

$m=\dfrac{d-b}{c-a}.$

So, the slope of the given line will be

$m=\dfrac{5-40}{15-5}=-\dfrac{35}{10}=-3.5.$

Since the point (5, 40) is very close to the line, so its equation will be

$y-40=m(x-5)\\\\\Rightarrow y-40=-3.5(x-5)\\\\\Rightarrow y=-3.5x+17.5+40\\\\\Rightarrow y=-3.5x+57.5.$

Thus, the required equation for the linear model is y=-3.5x+57.5.

Option (A) is CORRECT.

The correct answer was given: kmontanab00

y=-3.5x+57.5

Step-by-step explanation:

The picture of the question in the attached figure

step 1

take the two points closest to the line in the graph

(5,40) and (15,5)

find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{5-40}{15-5}$

m=-3.5

step 2

Find the equation of the line in slope intercept form

y=mx+b

we have

$m=-3.5\\point\ (5,40)$

substitute and solve for b

$40=-3.5(5)+b\\b=57.5$

substitute

y=-3.5x+57.5

What is the equation for the linear model in the scatter plot obtained by choosing the two points cl

The correct answer was given: Buddy01

hey the answer is y=1.5x+6 just took the test!

The correct answer was given: cheetah810

Option A

Step-by-step explanation:

Given is the scatter plot for x and y and the possible regression line closer to all the points.

We have to find the equation of the line

We can find two points on the line from the graph and find the equation using two point formula

We find y intercept is 6 i.e. one point (0,6)

Let us take any other point say for

x=10 , y = 21

Hence two points are (0,6) and (10,21)

Using two point formula we get

$\frac{x-0}{10-0} =\frac{y-6}{21-6} \\15x=10(y-6)\\1.5x=y-6\\y=1,5x+6$

Hence option A is right

The correct answer was given: aschunyhung

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points $\left (x_{1},y_{1} \right )$ and $\left (x_{2},y_{2}\right )$

Since from the graph the two points closest to the line are $\left ( 10,36 \right )$ and $\left ( 22,12 \right ).$

Equation of line with two points closest to the line :

$y-y_{1}=m\cdot \left ( x-x_{1} \right )$

where m is the slope.

First we find the slope(m)= $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{12-36}{22-10}$

on simplify we get, m=-2 .

Now, to find the equation of the line: $y-y_{1}=m\cdot \left ( x-x_{1} \right )$

$y-36=\left ( -2 \right )\cdot \left ( x-10 \right )$

Apply distributive property on right hand side, we get

$y-36=-2\cdot x+20$

Adding both sides by 36, we get

y=-2x+20+36

y=-2x+56 .

The equation for the linear model in the scatter plot obtained by the two closest point $\left ( 10,36 \right ) and \left ( 22,12 \right )$ closest to the line is,

y=-2x+56

The correct answer was given: nakeytrag

If you are still looking for this answer here it is, and if not here it is still for other people lol.
answer = y = -3.5x - + 57.5

The correct answer was given: kennycooper3096

The best choice would probably be C. We know the y-intercept is higher than 46 and that the slope is negative. That leaves us with choice A and C. We can eliminate A because when using the slope formula, the answer is closer to 2 than 3. However, even though it's most likely C, I would check first.

The correct answer was given: lolh1520

We can rule out choice A because the slope for choice A is negative, but the line is not moving downhill (read it from left to right)

We can also rule out choice C as the y intercept is definitely not -12. The y intercept is some positive value above 5, so 6 is probably a good guess or the correct y intercept.

This leaves choice B or choice D. They both have a y intercept of 6, so let's ignore that part. The slopes are different. For choice B we have 1.5 as the slope and choice D we have 2 as the slope.

Pick the two points closest to the line which are (4, 12) and (20,36). Start by using the graph to find the two closest points. Then use the table to confirm that you have the proper numeric values.

Slope formula:
m = (y2-y1)/(x2-x1)
m = (36-12)/(20-4)
m = 24/16
m = 1.5

So this points to choice B as the final answer

The correct answer was given: Brain

where are the options?

step-by-step explanation:

The correct answer was given: Brain

the last table is proportional

step-by-step explanation:

simplify the last table and you will find that y is 1/2 of x and its constant.

and i hope it c:

have a nice day