The data is given as follow. xi 2 6 9 13 20 yi 7 18 9 26 23 The estimated regression equation for these data is = 7.6 + .9x. Compute SSE, SST, and SSR (to 1 decimal). SSE SST SSR What percentage of the total sum of squares can be accounted for by the estimated regression equation (to 1 decimal)? % What is the value of the sample correlation coefficient (to 3 decimals)? Check My Work

Answers

Answer 1

Answer:

SSE =  127.3

SST= 281.2

SSR = 153.9

R² = 0.5473

% = 54.73%

r=  +0.7398

Step-by-step explanation:

xi         yi      Y^                       (Yi-Y^)²               (Yi-Y`)²

2         7      7.6 + 0.9(2)        (7-9.4)²                (7-16.6)²

                    = 9.4                   = 5.76                   92.16

6        18      7.6 + 0.9(6)          (18-13)²                 (18-16.6)²

                    = 13                       =25                     1.96

9        9        7.6 + 0.9(9)          (9-15.7)²              (18-16.6)²

                    = 15.7                     =44.89               57.76

13       26       7.6 + 0.9(13)         (26-19.3)²          (18-16.6)²

                    = 19.3                       = 44.89            88.36

20      23        7.6 + 0.9(20)       (23-25.6)²          (18-16.6)²

                    = 25.6                       = 6.76              40.96                            

∑50      83           83                     127.3                   281.2                      

Y~= ∑yi/n= 83/5= 16.6

SSE = ∑ (Yi-Y^)² = 127.3

SST= ∑(Yi-Y`)²=281.2

SST = SSR + SSE

SSR = SST- SSE

         = 281.2- 127.3= 153.9

Co -efficient of determination= R² = SSR/ SST= 153.9/ 281.2= 0.5473

The regression equation is explained by 54.73 %  of the total sum of squares.

The linear  correlation coefficient is the square root of the co -efficient of determination

r= ±√r²= √0.5473= +0.7398

We only consider the positive value for the linear  correlation coefficient to be positive.


Related Questions

A salesman's commission is directly proportional to his total sales. If the commission is $100 for $1000 in sales, find the commission for $1750 in sales.

Answers

Answer is $175

C = 1/10s, and c=1/10(1750)= 175

The commission of the salesmen with the given ratio will be $175.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

The commission is $100 for $1000 in sales.

Ratio of commission to sales = 100/1000 = 0.1

With the same ratio,

Commission/1750 = 0.1

Commission = 1750 x 0.1 = $175

Hence "The commission of the salesmen with the given ratio will be $175".

For more information about ratios and proportions,

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m=-1 and (-6,12)
help pls

Answers

Answer:

y = -x +6

Step-by-step explanation:

i honestly didn't know what form you wanted so i put it in slope-intercept form for you :D

formula for slop-intercept form:

y=mx+b

12 = -1 ( -6 ) + b          -----> filled in the m, x and y

12 = 6 + b                   -----> do PEMDAS

12 - 6 = b                    -----> moved 6 to the other side to isolate variable

6 = b                           -----> you found the y-intercept

y = -x + 6                    ------> fill the equation in :D

Rewrite the following equation in slope-intercept form
y - 4 = 3(x + 2)

Answers

Y = 3(x + 2) + 4
Y = 3x + 6 + 4
Y = 3x + 10

solve the floowing systems of euations algebrically.
x+8=z
2x+8-2z=4
-x-y+3z=2

Answers

x + 8 = z

x + 8 - 8 = z - 8

x = z - 8

the rest is in a capture

18n + 12 = 27n + 3

5(x + 7) = 6(x - 5)

Solve for the variables SHOW WORK

Answers

Answer:

n = 1x = 65

Step-by-step explanation:

Given

18n + 12 = 27n + 3 5(x + 7) = 6(x - 5)

Solving for variables

1

18n + 12 = 27n + 3 18n - 27n = 3 - 12-9n = -9n = -9/-9n = 1

2

5(x + 7) = 6(x - 5)5x + 35 = 6x - 305x - 6x = -30 - 35-x = -65x = 65

Answer:

18n + 12 = 27n + 3

12-3=27n-18n

9=9n

n=9/9=1

5(x + 7) = 6(x - 5)

5x+35=6x-30

35+30=6x-5x

65=x

:.x=65

Find a, for the sequence 0.5, 3.5, 24.5,
171.5.

Answers

the numbers are being multiplied by 7

.5 • 7 = 3.5
3.5 • 7 = 24.5
24.5 • 7 = 171.5
etc

i need help this makes no sense​

Answers

you have to solve figure a hope this makes sense and helps you

Line a and b are perpendicular lines.If line a is represented by y=s/t x+10 and line b is represented by y=q/r -4 where s,t,q and r are integers and t and r are not equal to zero which statement is always true

Answers

Answer:

The options are not shown, so i will answer in a general way.

First, for a line of the form:

y = a*x + b

All the perpendicular lines will have a slope of -(1/a), then we can write a general perpendicular line as:

y = -(1/a)*x + c.

In this problem we have the perpendicular lines:

y=(s/t)*x+10

y = (q/r)*x - 4

Because those lines are perpendicular, we must have that:

(q/r) = -(1/(s/t)) = -(t/s)

q/r = -t/s

and we knew that s, t, q and r are integers (where t and r can not be equal to zero), and because of this relation, where we can see that in the denominator at the right we have the integer s, we can conclude that s can not be zero (we can not divide by zero).

And we know that t and s are both different than zero, then:

-t/s ≠ 0.

This means that:

q/r ≠ 0

And from this, we can conclude that q is different than zero.

Complete the square and factor: x^2+14x+

Answers

9514 1404 393

Answer:

49(x +7)²

Step-by-step explanation:

The constant to add is the square of half the x-coefficient:

  (14/2)² = 49

The constant in each binomial factor is half the x-coefficient:

  (x +7)²

Decrease £2155.45 by 8.5%
Give your answer rounded to 2 DP.​

Answers

Answer:

2155.45 - 8.5% = 1972.23675. 2 DP = 1972.24

Pls work this out I will give you brainest xx

Answers

Answer: x = -32/9

Explanation:

Cross-multiply to solve.

6x - 5 = 3(5x + 9)

6x - 5 = 15x + 27
Subtract 27 and subtract 6x

-32 = 9x
Divide by 9

x = -32/9

Can u help me Find the Slope for (-4,-1),(-4,-5)

Answers

Answer:

x = -4 (and btw that is so cuteee)

Step-by-step explanation:

Points: (-4,-1) and (-4,-5)

m = y2 - y1/x2 - x1

m = (-5) - (-1)/(-4) - (-4)

m = -5 + 1/-4 + 4

m = -4/0

x = - 4

x not y ;w;

can someone plz help its homework and due tdy.

Answers

Answer:

Hope this will help you.

Step-by-step explanation:

Answer: 1: 14

2: -2

3: 3

4: 2

5: 5

6: 6

7: -1

Step-by-step explanation:

Sergio earned $350.40 after working 24 hours one week. If Sergio has the same hourly rate, how many hours will he need to work to earn $525.60?

Answers

Answer:

36 hours

Step-by-step explanation:

he earns 14.6 per hour

Malika has a credit card balance of $632.28. Her line of credit on this card
is $5,000. What is her available credit? *

Answers

$4367.72 because you’d subtract 632.28 from 5,000

For parties of six or more, a restaurant adds a 20% gratuity (or tip). Ifa
dinner bill for a large party comes to $148.25, find the total dinner bill with
tip.

Answers

Answer:

$247.37

Step-by-step explanation:

The total dinner bill with a tip for the large party is $177.90.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

The gratuity for a large party is 20% of the bill, so we can calculate the gratuity by multiplying the bill by 0.2.

Gratuity = bill x 0.2

Gratuity = 148.25 x 0.2

Apply the multiplication operation, and we get

Gratuity = 29.65

To find the total bill, we add the gratuity to the original bill.

Total bill = bill + gratuity

Total bill = 148.25 + 29.65

Apply the addition operation, and we get

Total bill = $177.90

Hence, the total dinner bill with a tip for the large party is $177.90.

Learn more about Multiplication operations here:

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could you awnser this please​

Answers

No it is not linear.
no, a linear function has one input for every output and this does not.

How many solutions does the nonlinear system of equations graphed below
have?

Answers

Answer:

two which is B

Step-by-step explanation:

the lines only intersect twice

what is the value of (2/4)^-4?

Answers

Answer:

16 b plus a is mathematically plus 185 so 15

Find the measure of the indicated angle to the nearest degree
Please show all steps ty

Answers

Answer:

71 degrees

Step-by-step explanation:

1. We know that the angle is unknown as demonstrated by '?'

2. The 17 side is opposite of the unknown angle

3. The 18 side the hypotenuse (not in contact with the right angle)

4. Therefore sine will be used where, sine(degree) = opposite/hypotenuse

5. The equation should be sine(degree) = 17/18

6. Since we don't know the degree we bring sine to the left and has a negative power of 1

7. The equation now becomes degree = sine^-1 (17/18)

8. The answer to this is 70.811... which equals 70 degrees and 48 minutes which rounds to the nearest degree of 71

what is the solution 2x-y=4 -4+2y=-8

Answers

Answer:

x= −1 /2  , y−4

Step-by-step explanation:

Are these connected or two different equation

Whats is the x-coordinate of x-intercept of the line with the equation 5y+2/3x=10?

Answers

Answer:

Your answer to your question is 15

Step-by-step explanation:

yuh help please haha

Answers

Answer:

B

Step-by-step explanation:

Plug the coordinates in the answer choices to see if they give you 18.

Option A:  5(5) - 2(3) = 25- 6 = 9. Not it

Option B: 5(4) - 2(1) = 20 - 2 = 18. Works.

It has to be B because we've already tested (5,3) in option A and it wasn't correct.

Solve by Completing the Square then identify the type of SOLUTIONS:
3x^2 - 12x - 45 = 0

Answers

Answer: x= 2 + [tex]\sqrt\\ 19[/tex]  , x= 2 - [tex]\sqrt19\\[/tex]

Step-by-step explanation:[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{\left(-12\right)^2-4\cdot \:3\left(-45\right)}}{2\cdot \:3}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \:6\sqrt{19}}{2\cdot \:3}[/tex]

[tex]x_1=\frac{-\left(-12\right)+6\sqrt{19}}{2\cdot \:3},\:x_2=\frac{-\left(-12\right)-6\sqrt{19}}{2\cdot \:3}[/tex]

[tex]x=2+\sqrt{19},\:x=2-\sqrt{19}[/tex]

8.3x2 +0.9xy + 3.6
7.4x2 - 1.7xy + 6.4

Answers

Answer:

20.2 + 0.9xy

      &

20.2-1.7xy

Step-by-step explanation:

BRAINLIST WILL be given. Part A is a MULTIPLE SELECT question about which ones are linear . Then Part B ask wether a linear line is a straight or curved line ? only answer if u know ur right thanks .

Answers

Answer:

A,C,and D are linear functions and a inear line is a straight line

Step-by-step explanation:

Please im starting to flunk and i really need help with study islands and ixl's

Answers

Answer:

A

Step-by-step explanation:

also, (the image) is a great friend :)) it   it wouldn't let me say it

helpppp!!! (look at screenshot)
Use the map at the right. Any location equidistant from the subway station on 26th St. and the subway station on 30th St. must lie on what street?

A. 8th Ave.
B. 28th St.
C. 7th Ave.
D. 26th St.

Answers

Answer:

I think it's the 28th St. but I'm not sure.

Yea it B.28th St. .....


Add 2x4 - 6x3 + 5x to the difference between 9x3 + 8x2 - 2 and 4x4 - 2x2 + 8x - 5.

Answers

Simplify (x3 +  3x2 + 5x – 4) –  (3x3 – 8x2 – 5x + 6)

The first thing I have to do is take that "minus" sign through the parentheses containing the second polynomial. Some students find it helpful to put a "1" in front of the parentheses, to help them keep track of the minus sign.

Here's what the subtraction looks like, when working horizontally:

(x3 + 3x2 + 5x – 4) – (3x3 – 8x2 – 5x + 6)

(x3 + 3x2 + 5x – 4) – 1(3x3 – 8x2 – 5x + 6)

(x3 + 3x2 + 5x – 4) – 1(3x3) – 1 (–8x2) – 1(–5x) – 1(6)

x3 + 3x2 + 5x – 4 – 3x3 + 8x2 + 5x – 6

x3 – 3x3 + 3x2 + 8x2 + 5x + 5x – 4 – 6

–2x3 + 11x2 + 10x –10

And here's what the subtraction looks like, when going vertically:

x

3

−(3x

3

 

+3x

2

−8x

2

 

+5x

−5x

 

−4

+6)

In the horizontal addition (above), you may have noticed that running the negative through the parentheses changed the sign on each and every term inside those parentheses. The shortcut when working vertically is to not bother writing in the subtaction sign or the parentheses; instead, write the second polynomial in the second row, and then just flip all the signs in that row, "plus" to "minus" and "minus" to "plus".

\

x

3

–3x

3

−2x

3

 

+3x

2

+8x

2

+11x

2

 

+5x

+5x

+10x

 

−4

–6

−10

Either way, I get the answer:

–2x3 + 11x2 + 10x – 10

please hep me out !!!!!

Answers

Answer:

A

Step-by-step explanation:

Assuming you require the distance between the 2 points.

To calculate the distance d use the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 3, - 8) and (x₂, y₂ ) = (- 2, - 3)

d = [tex]\sqrt{(-2+3)^2+(-3+8)^2}[/tex]

   = [tex]\sqrt{1^2+5^2}[/tex]

   = [tex]\sqrt{1+25}[/tex]

   = [tex]\sqrt{26}[/tex] → A

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