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Marat540 [252]
3 years ago
12

I need the answers for this question.

Mathematics
1 answer:
nadya68 [22]3 years ago
7 0

Answer:

7

Step-by-step explanation:

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The least-squares regression line is:
babunello [35]

Answer:

a. the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible.

Step-by-step explanation:

If we have N points (x_1, y_1),. ...(x_N, y_N) and we want to adjust a model y = ax+b

We can define the error associated to this like that:

E(a,b) = \sum_{n=1}^N [y_n -(ax_n +b)]^2

So as we can see here we are adding the square distances between the real and the adjusted values in order to minimize the error for this reason the correct answer is:

a. the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible.

For this case we need to calculate the slope with the following formula:

a=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

And we can find the intercept using this:

b=\bar y -m \bar x

7 0
4 years ago
-2x+3 &gt; x +24<br><br> Show steps how you got your solution
nalin [4]
- 2x + 3 > x + 24

First we must get all variables on the same side and constants on the opposite side. To do so we subtract x from the right and the left. Then subtract 3 from both sides as well. 

- 2x - x > 24 - 3 

Now we combine like terms:

- 3x > 21

We must isolate the variable x. In order to do so, we divide both sides by - 3. When you divide by a negative number, you must also flip the inequality so the greater than becomes a less than. 

x < 21 / - 3

x < - 7 is your answer. 
7 0
4 years ago
Read 2 more answers
Graph y = -2+7.<br> x<br> * Move<br> Line<br> Un
Naya [18.7K]
Here’s the answer :))

3 0
3 years ago
1) Solve ;
Rashid [163]

Answer:

x ≤ 7/2

Step-by-step explanation:

Expand brackets:                   3x - 15 ≤ x - 8

Subtract x from both sides:   2x - 15 ≤ -8

Add 15 to both sides:                    2x ≤ 7

Divide both sides by 2:                   x ≤ 7/2

3 0
2 years ago
Read 2 more answers
Please help me !! :)
Darina [25.2K]
I’m not one hundred percent but I think it’s C
4 0
3 years ago
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