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mrs_skeptik [129]
2 years ago
11

WILL GIVE BRAINLIEST IF CORRECT!!

Mathematics
1 answer:
vfiekz [6]2 years ago
5 0

Answer:

\displaystyle y=-0.927x+13.63

Step-by-step explanation:

<u>Simple Linear Regression </u>

It a function that represents the relationship between two or more variables in a given data set. It uses the method of the least-squares regression line which minimizes the error between the estimate function and the real data.

Let's compute the best-fit line for the data

x=\{1,5,6,12,15\}

y=\{14,11,4,2,1\}

First, we find the sums

\displaystyle \sum x=1+5+6+12+15=39

\displaystyle \sum y=14+11+4+2+1=32

Then, we compute the averages values

\displaystyle \bar{x}=\frac{39}{5}=7.8

\displaystyle \bar{y}=\frac{32}{5}=6.4

We will also compute the sums of the cross-products and the sum of the squares

\displaystyle \sum xy=(1)(14)+(5)(11)+(6)(4)+(12)(2)+(15)(1)=137

\displaystyle \sum x^2=1^2+5^2+6^2+12^2+15^2=1+25+36+144+225

\displaystyle \sum x^2=431

We will compute Sxy and Sxx

\displaystyle S_{xy}=\sum xy-\frac{\sum x\ \sum y}{n}

\displaystyle S_{xy}=137-\frac{(39)(32)}{5}

\displaystyle S_{xy}=-117.6

\displaystyle S_{xx}=\sum x^2-\frac{(\sum x)^2}{n}

\displaystyle S_{xx}=431-\frac{39}{5}^2=126.8

The slope of the linear regression function is given by

\displaystyle m=\frac{S_{xy}}{S_{xx}}=\frac{-117.6}{126.8}=-0.927

The y-intercept ot the linear function is

\displaystyle b=\bar{y}-b\bar{x}=6.4-(-0.927)(7.8)

\displaystyle b=13.63

Thus the best-fit line is

\displaystyle y=-0.927x+13.63

The correct option is the last one

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Evaluate (4p)3 when p = (-1)
Leona [35]

Answer:

-12

Step-by-step explanation:

plug in -1 into the equation which is going to be (4*-1)3

you multiply what is in the parenthesis first and after is going to be (-4)3

lastly your going to multiply -4*3 and it is going to equal to -12.

3 0
2 years ago
Need answer!! please help.
defon

Answer:

I think A

Step-by-step explanation:

8 0
2 years ago
Mai bought some party supplies from an online store. For shipping, the shop charges a flat fee of $7.95 or 6.25% of the total pu
alisha [4.7K]

Answer:

8

Step-by-step explanation:

if we do 128+7.95 we get 135.95. but when we do 128+8(wich is 6.25% of 128) we get 136. so she will pay 8 dollars in shipping

Hope this helps.

3 0
2 years ago
Will give brainliest please help <br><br>4b + 7b +5 <br><br>i need help simplifying.​
vitfil [10]

Answer:

11b+5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
X+y+z=3<br> x-y+z=2<br> x+y-z=1
Dima020 [189]

Answer:

Step-by-step explanation:

I'm assuming you are solving this system for x, y, and z.  Do it this way:

Combine the first 2 equations and the second 2 equations and eliminate the y's.  The first 2 equations:

x + y + z = 3

x - y + z = 2

which solves to

2x + 2z = 5

The second 2 equations:

x - y + z = 2

x + y - z = 1

which solves to

2x = 3 so

x = 3/2 or 1.5

Now sub that x value into the bold equation above to get:

2(1.5) + 2z = 5 and

3 + 2z = 5 and

2z = 2 so

z = 1

Now we plug back in to solve for y:

1.5 + y + 1 = 3 and

2.5 + y = 3 so

y = .5

The solution set then is (1.5, .5, 1) or in fraction form:

(\frac{3}{2},\frac{1}{2},1)

6 0
3 years ago
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