Mathematics, 28.07.2019 04:34 Wavy10691

The height of a plant over time is shown in the table below. using a logarithmic model, what is the best estimate for the age of the plant when it is 19 inches tall? plant height t, time in months h, height in inches 1 18 2 18.21 3 18.33 4 18.42 5 18.48 6 18.54 10 months 14 months 16 months 28 months

Answers: 2

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Answer from: zhiyar9879

Option 4 - 28 months.

Step-by-step explanation:

Given : The height of a plant over time is shown in the table below.

To find : What is the best estimate for the age of the plant when it is 19 inches tall?

Solution :

We create the table of Plant Height

t, time in months - 1 2 3 4 5 6

h, height in inches - 18 18.21 18.33 18.42 18.48 18.56

Now, using logarithmic regression calculator,

We get the best line fit for the data

i.e, $y=0.3066\ \ln\left(x\right)+17.997$

Now, for the age of the plant when it is 19 inches tall i.e, y=19

Graphically we plot the equation and see the point at y=19

The point is (26.379,19)

Or approximately the age of the plant when it is 19 inches tall is 28 months.

Therefore, Option 4 is correct.

Refer the attached figure.

The height of a plant over time is shown in the table below. using a logarithmic model, what is the

Answer from: 2003loganreed

Option D is correct

28 months

Step-by-step explanation:

The equation for logarithmic regression is given by:

$y = a\ln x+b$

Given the statement:

The height of a plant over time is shown in the table below.

here, h(t) represents the height of the plant after t time.

Using logarithmic regression calculator:

Graph the scatter plot for these given data from the table as shown below.

we get the required logarithmic model is:

$h(t) = 0.3066 \ln +17.997$

We have to find the best estimate for the age of the plant when it is 19 inches tall.

⇒h(t) = 19 inches tall

Solve for t:

$19 = 0.3066 \ln x+17.997$

Subtract 17.997 from both sides we have;

$1= 0.3066 \ln x$

Divide both sides by 0.3066 we have

$3.3= \ln x$

⇒ $x = e^{3.3} =27.11$ ≈ 28 months

Therefore, the best estimate for the age of the plant when it is 19 inches tall is, 28 months

Answer from: Quest

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation:

Answer from: Quest

$22. if larry's profit were to minimize by one for every hour his store were to be closed, we would subtract 30 by 8.

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The height of a plant over time is shown in the table below. using a logarithmic model, what is the...