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Dima020 [189]
3 years ago
6

What is the equation of exponential regression equation? Round all numbers you your answer to three decimal places

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
8 0

Given:

The given values are:

a=0.2094539899

b=2.507467975

r^2=0.9435996398

r=0.9713905701

To find:

The exponential regression equation for the given values (Rounded to three decimal places).

Solution:

The general form of exponential regression equation is:

y=a\cdot b^x          ...(i)

Where, a is the initial value and b is the growth/decay factor.

We have,

a=0.2094539899

b=2.507467975

Round these numbers to three decimal places.

a\approx 0.209

b\approx 2.507

Substitute a=0.209, b=2.507 in (i) to find the exponential regression equation.

\hat{y}=0.209\cdot 2.507^x

Therefore, the correct option is C.

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7(2x+6y)

14x+42y

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What numbers can go in to 14 and 28
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On Monday, Lou drives his ford escort with 28-inch tires, averaging x miles per hour. On Tuesday, Lou switches the tires on his
weeeeeb [17]

Answer:

\% Change = \frac{|28-32|}{32} *100 = 12.5\%

(B) Decrease by 12.5%

Step-by-step explanation:

For this case we know that the revolution is proportional to the circumference.

And we know that the average number of revolutions of 32 inch tires for Tuesday is higher than the original value of 28 inch tires for Monday.

We know that we have x mi/hr, so we can select a value fo x in order to find the average revolutions with the following formula:

Avg = \frac{x}{mi}

Let's say that we select a value for x for example x= 28*32 = 896, since this value is divisible by 32 and 28.

If we find the average revolutions per each case we got:

Tuesday:

Avg = \frac{896}{32}=28

Monday:

Avg = \frac{896}{28}=32

And then we can find the % of change like this:

\% Change= \frac{|Final-Initial|}{Initial} *100

And if we replace we got:

\% Change = \frac{|28-32|}{32} *100 = 12.5\%

Because we are assuming that the initial amount is the value for Monday and the final value for Tuesday.

So then the best answer for this case would be:

(B) Decrease by 12.5%

3 0
3 years ago
The length of a table is 16 inches more than its width. If the area of the table is 720 square inches, of what is it’s length?
irina1246 [14]

Let the width of the table be = x inches

As the length of a table is 16 inches more than its width, so length = x+16

Area of the rectangular table = 720 square inches

Area of rectangle = length*width

720=x(x+16)

720=x^{2}+16x

x^{2}+16x-720=0

x^{2}+36x-20x-720=0

x(x+36)-20(x+36)=0

(x-20)(x+36)=0

x=20 and x=-36

Neglect the negative value as length and width cannot be negative

So, width = 20 inches

Length = x+16 = 20+16 = 36 inches

Hence, length is 36 inches and width is 20 inches.


8 0
2 years ago
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