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3 years ago

Given the data set (4, 85), (7, 92), (14, 110), which of the following equations best represents a line of best fit?

2 answers:

nataly862011 [7]3 years ago

7 0

Let's see if there is a constant rate first...

(92-85)/(7-4)=7/3

(110-92)/(14-7)=18/7 so there is no constant rate...so the line of best fit (linear least squares regression line) will have a slope of:

m=(nΣxy-ΣxΣy)/(nΣx^2-ΣxΣx)

m=(3*2524-25*287)/(3*261-625)

m=397/158

b=(Σy-mΣx)/n

b=(158Σy-397Σx)/(3*158)

b=(45346-9925)/(3*158)

b=11807/158

So the line of best fit is:

y=(397x+11807)/158

so approximating this line....

y≈2.5x+74.73

So the closest that you have is:

y=7x/3+75.67

Readme [11.4K]3 years ago

5 0

Answer A should be the correct answer

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Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = ta

Irina-Kira [14]

Answer:

The inner function is $u = \pi x$ .

The outer function is $f(u) = \tan{u}$ .

$\frac{dy}{dx} = y^{\prime} = \sec^{2}(u)*\pi = \pi\sec^{2}{\pi x}$

Step-by-step explanation:

The inner function is the one we apply the outer function to.

$y = \tan{\pi x}$

We apply the outer function tangent to $\pi x$ .

So, the inner function is $u = \pi x$ .

The outer function is $f(u) = \tan{u}$ .

The derivative of a compositve function

$y = f(u)$ in which $u = g(x)$ is given by the following function.

$y^{\prime} = f^{\prime}(u)*g^{\prime}(x)$

$f(u) = \tan{u}$

$f^{\prime}(u) = \sec^{2}{u}$

$u = g(x) = \pi x$

$g^{\prime}(x) = \pi$

$y^{\prime} = f^{\prime}(u)*g^{\prime}(x)$

$\frac{dy}{dx} = y^{\prime} = \sec^{2}(u)*\pi = \pi\sec^{2}{\pi x}$

7 0

2 years ago

6x + 15xy<br> Looking For Factor

padilas [110]

Answer:

x(6 + 15y)

Step-by-step explanation:

In this instance, you can divide by a factor of x.

6x/x = 6

15xy/x = 15y

Therefore, we are left with 6 + 15y.

6 0

2 years ago

I can’t figure this out

patriot [66]

Answer:

$m \leq 4.3$

Step-by-step explanation:

We need to get m on one side all by itself. To achieve this, let's subtract both sides by 1.2 to get $m \leq 5.5-1.2 \implies m \leq 4.3$ .

7 0

3 years ago

Help ASAP plz and put how to solve it

tatyana61 [14]

Answer: its 1/144

Step-by-step explanation:

3 0

2 years ago

Please help me!!!!!!!

chubhunter [2.5K]

9514 1404 393

Answer:

y = -4x +2

Step-by-step explanation:

The equation you're writing is in slope-intercept form. The coefficient of x is the slope, which is the "rise"/"run" of the line.

Here, to get from the left point to the right point, you must go down 4 units (rise=-4) and 1 unit to the right (run=1). So, the slope is ...

m = rise/run = -4/1 = -4

The constant in the equation is the y-intercept: the y-coordinate of the point where the line crosses the y-axis. That point is marked as (0, 2), so its y-coordinate is 2.

The equation for the line is ...

y = -4x +2

8 0

2 years ago