All categories

4 years ago

Interpret the following sine regression model.

Mathematics

1 answer:

natita [175]4 years ago

3 0

Answer:

The question is incomplete, so I will describe the sine regression model.

The function

y = 0.884 sin(0.245x - 1.093) + 0.400

correspond to the general equation:

y = a sin(bx - c) + d

where:

a = 0.884

b = 0.245

c = 1.093

d = 0.400

The amplitude of the function is computed as follows:

amplitude = |a| = 0.884

The period of the function is computed as follows:

period = 2π/|b| = 25.6456

The phase shift of the function is computed as follows:

phase shift = c/b = 4.4612 to the right (because there is a minus sign before c in the equation)

The vertical shift of the function is computed as follows:

vertical shift = d = 0.400

You might be interested in

Find an equation equivalent to r = 1 + 2 sin in rectangular coordinates.

Lubov Fominskaja [6]

Answer:

$x^2+y^2=(x^2+y^2-2y)^2$

Step-by-step explanation:

Here we are given that

r=1+2sin $\theta$

we know that the polar cordinates are represented as

x=rsin $\theta$

y=rcos $\theta$

Also squaring both and adding them gives you ,

$x^2+y^2=r^2sin^{2}\theta + r^2cos^{2}\theta\\x^2+y^2=r^2(sin^{2}\theta + cos^{2}\theta)\\x^2+y^2= r^2 \\As (sin^{2}\theta + cos^{2}\theta) = 1\\\\Hence \\\\x^2+y^2=r^2$

Hence

$r=\sqrt{x^2+y^2}$

also r=1+2sin $\theta$

1+2sin $\theta$ = $r=\sqrt{x^2+y^2}$

Also ,

r = r=1+2sin $\theta$

also sin $\theta$ = $\frac{y}{\sqrt{x^2+y^2}}$

Hence replacing sin $\theta$ we get

$\sqrt{x^2+y^2} = 1+2\frac{y}{\sqrt{x^2+y^2}}\\x^2+y^2= \sqrt{x^2+y^2}+2y\\x^2+y^2-2y= \sqrt{x^2+y^2}\\Squaring\\(x^2+y^2-2y)^{2}=x^2+y^2$

8 0

3 years ago

Read 2 more answers

If P(A)=1/3, P(B)=2/5, what is P(A^B)? A.2/15 B.3/15 C.1/15 D.11/15

Karo-lina-s [1.5K]

I think that it is A.

~ThePirc

6 0

3 years ago

The thread length of a screw is the part of the screw with threads. The function t(x) = |x – 63.75| can be used to find the diff

Y_Kistochka [10]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The company sandy shores also packages large bottles of sand. The label on the large bottle of sand states that each bottle cont

notsponge [240]

Answer: A. 0.75 ounces

B. y-40|<0.75, which is the required absolute equation.

Step-by-step explanation:

A. Tolerance = Difference between minimum or maximum value and average value.

Here, minimum value = 39.25 ounces

maximum value = 40.75 ounces

Average = 40 ounces of sand.

Tolerance = 40.75-40= 0.75 ounces

or Tolerance = 40- 39.25= 0.75 ounces

B. Let y = the amount of sand in ounces , that the company Sandy shores allows in the large bottle.

39.25 < y < 40.75

⇒ 40-0.75 < y < 40+0.75

⇒ -0.75 < y -40< +0.75 [subtract 40 from all sides]

⇒ |y-40|<0.75, which is the required absolute equation.

For example, length of a wire(l) lies between 2 and 4

So, 2< l < 4

⇒3-1 < l < 3+1

⇒ |l-3|<1

6 0

3 years ago

Ryan places a mirror on the ground 42 feet from the base of a tree. He walka backwards until he can see the top of the tree in t

Ulleksa [173]

36 ft. And you behind on apex btw

5 0

3 years ago

Read 2 more answers