Mathematics, 12.11.2019 08:31, keshaayro1618

which equation best represents a trend line for the scatter plot?

Answers: 2

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Answers

Answered: Perez8350

Yes, the correct answer is C, I believe..?

Answered: cmflores3245

(1, 8) and (7,1)
slope = (8-1)/(1-7) = -7/6
y = mx + b
b = y - mx
b = 8 - (-7/6)(1)
b = 8 + 7/6
b = 55/6

equation
y = -7/6(x) + 55/6

answer
y=−7/6 x+55/6

Answered: hwest98

(1,6) and (6,0)
slope = (6 - 0)/(1-6) = -6/5
so
y - 0 = -6/5(x - 6)
y = -6/5(x) + 36/5

answer

y = -6/5(x) + 36/5

Answered: cindyramirez3140

Answer A is the only answer with a negative slope (meaning the line is going downwards). You don't even need to consider finding the value of the slope or the y-intercept.

Answered: gmac24

D: Y= -6/5x+36/5

I took the test

Answered: yagalneedshelp8338

General Idea:

We need to apply the below formula to find the trend line from the given x and y values.

$(1)\; mean:\; \bar{x}\;=\;\frac{\sum x_i}{n}, \; \;\bar{y}\;=\;\frac{\sum y_i}{n}\\ \\ (2) \;trend\; line: \; y=A+Bx, \;B=\frac{S_{xy}}{S_{xx}}, \;\;A=\bar{y}-B\bar{x}\\ \\ Where:\\ \\ S_{xx}=\frac{\sum x_i^2}{n}-\bar{x}^2\\ \\S_{xy}=\frac{\sum x_iy_i}{n}-\bar{x} \cdot \bar{y}$

Applying the concept:

In the graph given the trend line passes through two points (1, 8) and (7, 1).

We need to make use of the two point formula to find the equation of trend line

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the points (1, 8) and (7, 1) in the above formula to find slope we get...

$m = \frac{1-8}{7-1}=\frac{-7}{6}$

The point slope form of an equation which is used to write the equation of line when we know a point and slope is given below:

y-y_1=m(x-x_1)

Substituting the values in the above formula we get ...

$y-8=\frac{-7}{6}(x-1)\\Distributing \; -7/6\; in\; the\; right\; side\; of\; the\; equation \\ \\ y-8=\frac{-7}{6}x+\frac{7}{6}\\ Adding\; 8\; on\; both\; sides\\ \\ y-8+8=\frac{-7}{6} x+\frac{7}{6} +8\\ Combining \; like \; terms\\ \\ y=\frac{-7}{6}x+\frac{7}{6}+\frac{8 \cdot 6}{1 \cdot 6}\\ \\ y=\frac{-7}{6}x+\frac{7}{6}+\frac{48}{6}\\ \\ y=\frac{-7}{6} x+\frac{55}{6}$

Conclusion:

The equation best represents a trend line for the scatter plot is Option B.

B. y=−7/6x+55/6

Answered: sl1010

Option A ic orrect.

$y=-\frac{3}{7}x+ 4$

Step-by-step explanation:

Point slope form:

The equation of line is given by:

y-y_1=m(x-x_1) .....[1]

where m is the slope of line and a point (x_1,y_1) lies on the line in the coordinate plane.

As per the statement:

You can see from the graph of line

We have two points i.e,

(0, 4) and (7, 1)

First calculate the slope:

$\text{Slope} = \frac{y_2-y_1}{x_2-x_1}$

then;

$\text{Slope}(m) = \frac{1-4}{7-0} = -\frac{3}{7}$

Now, substitute the value of m and (0,4) in [1] we have;

$y-4=-\frac{3}{7}(x-0)$

Simplify:

$y-4=-\frac{3}{7}x$

Add 4 to both sides we get;

$y=-\frac{3}{7}x+ 4$

Therefore, the equation best represents the trend line for the scatter plot is $y=-\frac{3}{7}x+ 4$

Answered: brooklym2940

the 2nd one down.

y=3x+5

start at your y intercept (5) and use the rise to run ratio (rise 3, run 1) and there is a point on every single one.

1/3 wouldn't work because you rise 1 and go right 3 and that does not match any of the points

Answered: isalih7256

The answer is B. y = 3x+5

Step-by-step explanation:

Answered: mazielynn84

The line of best fit would most likely be y = 3x + 5

Step-by-step explanation:

We can tell this because if we use the first two points, it creates this line. We can tell that because using the two points first gives us a slope of 3.

(1, 8) (2, 11)

m(slope) = (y2 - y1)/(x2 - x1)

m = (11 - 8)/(2 - 1)

m = 3/1

m = 3

We also know that 8 cannot be the intercept being as it is the point at x = 1. Therefore, we know that y = 3x + 5 must be the only possible answer.

Answered: Visitor

step-by-step explanation:

Answered: Visitor

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