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gogolik [260]
3 years ago
13

Which of the following exponential regression equations best fits the data shown below?

Mathematics
2 answers:
Mashutka [201]3 years ago
8 0
What is the data shown below?
In-s [12.5K]3 years ago
6 0

Answer:

The correct option is D.

Step-by-step explanation:

The general exponential regression equations is

y=ab^x                      .... (1)

where, a is initial value and b is growth factor.

Using graph calculator, we get

a=3.5349151766\approx 3.53

b=4.37391527533\approx 4.37

R^2=0.99878148

Put the value of a and b in equation (1), to find the exponential regression equation.

Substitute a=3.53 and b=4.37 in equation (1).

y=(3.53)(4.37)^x

y=3.53(4.37)^x

The exponential regression equations that best fits the data is y=3.53(4.37)^x.

Therefore the correct option is D.

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7 0
3 years ago
Read 2 more answers
I need help please I don’t understand
Evgen [1.6K]
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3 0
3 years ago
Vertex form is f(x)=a(x-p)^2 +q. How do i determine a?
slamgirl [31]
Y1 is the simplest parabola.  Its vertex is at (0,0) and it passes thru (2,4).  This is enough info to conclude that y1 = x^2.

y4, the lower red graph, is a bit more of a challenge.  We can easily identify its vertex, which is (-4,0), and several points on the grah, such as (2,-3).

Let's try this:  assume that the general equation for a parabola is 
y-k = a(x-h)^2, where (h,k) is the vertex.  Subst. the known values,

-3-(-4) = a(2-0)^2.  Then 1 = a(2)^2, or 1 = 4a, or a = 1/4.

The equation of parabola y4 is   y+4 = (1/4)x^2

Or you could elim. the fraction and write the eqn as 4y+16=x^2, or

4y = x^2-16, or    y = (1/4)x - 4.  Take your pick!  Hope this helps you find "a" for the other parabolas.


8 0
3 years ago
Find the solution of this system of equations?<br><br> -8x-6y=60<br><br> 5x+6y=-69
zvonat [6]
First subtract the x variable on both sides so on the first equation youll have -6y=8x+60 then divide 6 on all variables which means youll have y=8/6x+10 and in the second equation you do the same thing and youll have y=-5/6x-11.5
7 0
3 years ago
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Neil is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
SashulF [63]
D, because the will not intersect i believe
4 0
3 years ago
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