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notsponge [240]
2 years ago
15

Recall the Akaike information Criterion (AIC) as well as the related Bayesian Information Criterion (BIC) from our study of Vari

able Selection and Model Building. Without heavy mathematical notation, explain how both the AIC and BIC emphasize goodness-of-fit of a regression model while also controlling model complexity. Why would we wish to do this (that is, to promote goodness-of-it while at the same time controlling model complexity)
Mathematics
1 answer:
irga5000 [103]2 years ago
5 0

Step-by-step explanation:

To check out how efficient or accurate a model is, we use the akaike information criterion or the Bayesian. If the AIC or BIC are lower, then this model would be better. They are also used to control for model complexity

Akaike information criterion = 2k-2ln where k is the number of parameter. A higher k gives a higher AIC.

In the real world complex models are discouraged and avoided since

1. They cause data to be over fitted and can capture noise and information from this data.

2. They are complex and therefore difficult to interpret

3. They consume a lot of time and computing them has several inefficiencies.

Using these two as measure of performance, we can select optimal choice of independent variable.

With forward/backward regression, we are able to put new variables in the model or remove from it. The best is the one with lowest AIC.

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In a in a survey 400 students were asked whether lemonade should be added to the school menu 1/5 of the students were fight yes
MAXImum [283]

Answer: If I were you, I would guess 320 students.

Step-by-step explanation:

1.) Think about it, 400 students were asked the same question and 80 chose to fight for lemonade on the school menu. 4/5 or 320 students put Guess.

2.) It's true that 400 students voted, but 80 voted yes, and 320 voted guess.

3.) Further Explanation:

1/5 times 400 equals 80. It's true only 80 students voted yes. 4/5 times 400 equals 320 students voted guess.

4 0
3 years ago
Which equation is a point slope form equation for line ab?
lara [203]

we have point (1,-1)

and point  (-3,5)

 slope =(y2-y1)/(x2-x1)

   m = (5-(-1))/(-3-(1))

  m = 6/(-3-1)

   m = 6/-4

   m = -3/2

point slope form

y-y1 = m(x-x1)

y-(-1) =-3/2(x-(1))

y+1=-3/2(x-1)

Choice B


6 0
3 years ago
I know how to do this but i dont have time so like give me the answer thanks
sertanlavr [38]
The final answer is 175
7 0
3 years ago
Read 2 more answers
Mathematics!!!!!!!!!!!!!!!!!!!
Mekhanik [1.2K]

Answer:

l think is 16 but I don't know

8 0
2 years ago
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The change in water level of a lake is modeled by a polynomial function, W(x). Describe how to find the x-intercepts of W(x) and
Agata [3.3K]
<span>First. <u>Finding the x-intercepts of </u>W(x)
</span><span>
Let W(x) be the change in water level. So to find the x-intercepts of this function we can use The Rational Zero Test that states:

To find the zeros of the polynomial:

f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+...+a_{2}x^{2}+a_{1}x+a_{0}

We use the Trial-and-Error Method which states that a factor of the constant term:

a_{0}

can be a zero of a polynomial (the x-intercepts).

So let's use an example: Suppose you have the following polynomial:

W(x)=x^{4}-x^{3}-7x^{2}+x+6

where the constant term is a_{0}=6. The possible zeros are the factors of this term, that is:

1, -1, 2, -2, 3, -3, 6 \ and \ -6.

Thus:

</span>W(1)=0 \\ W(-1)=0 \\ W(2)=-12 \\ W(-2)=0 \\ W(3)=0 \\ W(-3)=48 \\ W(6)=840 \\ W(-6)=1260<span>

From the foregoing, we can affirm that 1, -1, -2 \ and \ 3 are zeros of the polynomial.

</span>Second. <u>Construction a rough graph of</u> W(x)

Given that this is a polynomial, then the function is continuous. To graph it we set the roots on the coordinate system. We take the interval:

[-2,-1]

and compute W(c) where c is a real number between -2 and -1. If W(c)>0, the curve start rising, if not, the curve start falling. For instance:

If \ c=-\frac{3}{2} \\ \\ then \ w(-\frac{3}{2})=-2.81

Therefore the curve start falling and it goes up and down until x=3 and from this point it rises without a bound as shown in the figure below


7 0
3 years ago
Read 2 more answers
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