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3 years ago

5

if the linear model applies the function f(x) = 1.3x + 9.2, what is the predicted value and residual when the tree is 5 years ol

d with a height of 17

1 answer:

garri49 [273]3 years ago

3 0

Answer:

predicted: 15.7

residual: 1.3

Step-by-step explanation:

In x-axis, age of the tree is represented, and in y-axis, height of the tree is represented. When the tree is 5 years, x = 5, and the predicted value is:

f(5) = 1.3(5) + 9.2 = 15.7

Residual value is computed as follows:

residual = observed - predicted

residual = 17 - 15.7 = 1.3

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Answer: The correct answer is Choice D.

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Find a function where f(0)=2 and f(1)=2

xenn [34]

Answer:

Do you want to be extremely boring?

Since the value is 2 at both 0 and 1, why not make it so the value is 2 everywhere else?

$f(x) = 2$ is a valid solution.

Want something more fun? Why not a parabola? $f(x)= ax^2+bx+c$ .

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Our function becomes

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Notice that it works even by switching sign in the first two terms: $f(x) = -x^2+x+2$

Want something even more creative? Try playing with a cosine tweaking it's amplitude and frequency so that it's period goes to 1 and it's amplitude gets to 2: $f(x) = A cos (kx)$

Since cosine is bound between -1 and 1, in order to reach the maximum at 2 we need $A= 2$ , and at that point the first condition is guaranteed; using the second to find k we get $2= 2 cos (k1) = cos k = 1 \rightarrow k = 2\pi$

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3 years ago

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WARRIOR [948]

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