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2 years ago

The least squares regression line minimizes the sum of the:

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

3 0

Answer:

d) Squared differences between actual and predicted Y values.

Step-by-step explanation:

Regression is called "least squares" regression line. The line takes the form = a + b*X where a and b are both constants. Value of Y and X is specific value of independent variable.Such formula could be used to generate values of given value X.

For example,

suppose a = 10 and b = 7. If X is 10, then predicted value for Y of 45 (from 10 + 5*7). It turns out that with any two variables X and Y. In other words, there exists one formula that will produce the best, or most accurate predictions for Y given X. Any other equation would not fit as well and would predict Y with more error. That equation is called the least squares regression equation.

It minimize the squared difference between actual and predicted value.

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consider the equation is Y equals 1/square root of x and y=x-2. approximate solution of the system equations

emmasim [6.3K]

Answer:

$x=1$ and $x=4$

Step-by-step explanation:

We have the following system of equations:

$y=\sqrt{x}$ and $y=x-2$

To solve the problem, we need to equal the two equations:

$x-2=\sqrt{x}$ ⇒ $(x-2)^{2} =x$ ⇒ $x^{2} -4x + 4 = x$

⇒ $x^{2} -5x + 4 = 0$

So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are $x=-1$ and $x=-4$ .

Then, the factorized form of the polynomial is: $(x-1)(x-4)$ .

The, the solution to the system of equations is: $x=1$ and $x=4$ .

5 0

2 years ago

Simplify the expression below.<br> 5x² (3x + 2)

Westkost [7]

Step-by-step explanation:

$5x^2(3x+2)$

Distribute into 5x² into (3x +2).

$15x^3+10x^2$

The simplified expression is <em>15x³ + 10x²</em>

3 0

2 years ago

Read 2 more answers

subtracting 1 to the product of 5 and x gives the same value as adding 10 to the product of 3 and x. what value of x makes the s

Vilka [71]

Answer:17

Step-by-step explanation: You just follow the steps.

7 0

2 years ago

What is the solution to the following equation x^2+5x+7=0

Nat2105 [25]

Answer:

if ypu are looking for the minimum it is ( - 5/2 , 3/4) but if you are looking for the vertical intercept it is ( 0 , 7)

6 0

2 years ago

A RIGHT triangle has two other angles measuring x and 2x. What does x equal?

Marianna [84]

Answer:

x = 30

Step-by-step explanation:

because the interior angles of a triangle = 180° so if you subtract 90° you get 90. in order to get 90 you can use the equation x + 2x = 90 which you will then get x = 30

5 0

2 years ago