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eduard
2 years ago
13

Why do we square the residuals when using the least-squares line method to find the line of best fit?

Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
4 0

We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).

<h3>What do you mean by Residuals?</h3>

We treat both positive and negative disparities equally by squaring the residual values.  We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.

We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.

To know more about the Least-Squares Line method, visit:

brainly.com/question/14940432

#SPJ4

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xxMikexx [17]

Answer:

what question?

Step-by-step explanation:

7 0
3 years ago
Write the equatoin of a graph that has Roots of x={-2,0,4} and has a point of (-1,10)
zheka24 [161]

Step-by-step explanation:

to have "roots" means that the function delivers 0 as function result for these values of x.

so,

f(x) = 0 for x = -2, x = 0 and x = 4

we can build this function as a product of factors.

each factor is an expression of x that turns 0 for the given value of x.

what is the simplest expression of x that turns 0, when x = -2 ?

well : x + 2

as you can easily see, this is 0, when x = -2.

and the easiest existing of x that is 0, when x = 0 ?

totally simple : just x.

and then x - 4 for x = 4

so, our function is

f(x) = x(x + 2)(x - 4)

but : this is one of infinite possibilities.

let's see what happens, if we use the x coordinate (-1) of the given point (-1, 10).

we know, the result must be 10.

-1×(-1 + 2)(-1 - 4) = -1×1×-5 = 5

aha ! so, in order to get 10 instead of just 5 we must multiply the whole thing by 2.

as n×0 is always still 0, this does not change our 0 points (or roots).

so, our full function is :

f(x) = 2x(x + 2)(x - 4)

or, if you need the function as a polynomial, we need to do the multiplications :

f(x) = 2x(x² - 4x + 2x - 8) = 2x(x² - 2x - 8) = 2x³ - 4x² - 16x

3 0
2 years ago
Math the equation to the solution type​
Margarita [4]

Answer:

Step-by-step explanation:

1. 6x + 10 = 6x - 8

   10≠-8

no solution

2. 6x + 8 = 2x - 6

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     4x = -14

     x = -14/4= -7/2 one solution

3. 9x - 27 = 9x - 27

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6 0
3 years ago
Can you guys help me? The questions is... A soccer team eats lunch at a restaurant on the way to a tournament total cost of the
mr Goodwill [35]

Answer: The tip left for the servers was  $14.80

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

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  • <em>Tip = 18% of the amount before the tax </em>

So, to calculate the tip we have to multiply the cost of the food before tax ($82.25) by the 0.18 (percentage in decimal form, 18/100= 0.18).

Mathematically speaking:

82.25 x 0.18 = $14.80

The tip left for the servers was $14.80

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What is 6=x over 8 for fractions
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Answer:

x = \frac{3}{4}

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