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.
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.
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
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)
solve the floowing systems of euations algebrically.
x+8=z
2x+8-2z=4
-x-y+3z=2
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
Answer:
n = 1x = 65Step-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 = 12
5(x + 7) = 6(x - 5)5x + 35 = 6x - 305x - 6x = -30 - 35-x = -65x = 65Answer:
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.
i need help this makes no sense
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
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+
9514 1404 393
Answer:
49(x +7)²Step-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.
Answer:
2155.45 - 8.5% = 1972.23675. 2 DP = 1972.24
Pls work this out I will give you brainest xx
Can u help me Find the Slope for (-4,-1),(-4,-5)
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.
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?
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? *
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.
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
How many solutions does the nonlinear system of equations graphed below
have?
Answer:
two which is B
Step-by-step explanation:
the lines only intersect twice
what is the value of (2/4)^-4?
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
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
Answer:
x= −1 /2 , y−4
Step-by-step explanation:
Whats is the x-coordinate of x-intercept of the line with the equation 5y+2/3x=10?
Answer:
Your answer to your question is 15
Step-by-step explanation:
yuh help please haha
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
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
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 .
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
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.
Answer:
I think it's the 28th St. but I'm not sure.
Add 2x4 - 6x3 + 5x to the difference between 9x3 + 8x2 - 2 and 4x4 - 2x2 + 8x - 5.
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 !!!!!
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