Answer:
The closest to the output when the input is approximately 12
Step-by-step explanation:
The given (x, y) coordinates are;
The line of best fit is
x, 0, 3, 6, 6, 8, 10, 11
y, -2, 7, 16, 15, 21, 28, 31
The line of best fit can be obtained from the scatter plot of the given data from where a linear pattern is apparent
A linear line of best fit is a trend line that gives an overall cumulative minimum distance of all the points from the line
The method for constructing a line of best fit includes;
1) The least Squares Method
2) The method of linear regression
3) Construction of line of best fit
a) The area method
b) The dividing method
The least squares equation is given as follows;
[tex]\hat y[/tex] = a + b·x
[tex]b = \dfrac{\Sigma (x_i - \overline x) \cdot (y_i - \overline y)}{\Sigma (x_i - \overline x)^2 }[/tex]
From MS Excel, we have;
[tex]{\Sigma (x_i - \overline x) \cdot (y_i - \overline y)}{ }[/tex] = 266.8571
[tex]{\Sigma (x_i - \overline x)^2 }[/tex] = 89.42857
∴ b = 266.8571/89.42857 ≈ 2.984
[tex]a =\overline y- b \cdot \overline x[/tex]
From MS Excel, with the given data, we get;
[tex]\overline y[/tex] = 16.57143
[tex]\overline x[/tex] = 6.285714
Therefore;
a = 16.57143 - 2.984 × 6.285714 = -2.185
Therefore, we get the following regression equation;
[tex]\hat y[/tex] = -2.185 + 2.9·x
Where;
x = The input
[tex]\hat y[/tex] = The output
Therefore, when x = 5, we get;
[tex]\hat y[/tex] = -2.185 + 2.9 × 5 = 12.315
Therefore, the closest to the output when the input is 5, y ≈ 12
The difference between two numbers is 10 and their sum is 20. Find the biggest number.
Answer:
15
Step-by-step explanation:
x - y = 10, then x = 10 + y
x + y = 20
substitute for x:
10 + y + y = 20
2y = 10
y = 5
x = 10 + 5 = 15
f(x)=x^2. What is g(x)?
A. g(x) = x^2
B. g(x)=-2x^2
C. g(x)=x^2 - 2
D. g(x)=-x^2 - 2
Answer:
B
Step-by-step explanation:
TRUST.
if im wrong im really sorry
i would have failed you
i would feel guilty
and I would forget about it in like 5 minutes
What is the amount of interest that Sam will pay on his $5000 loan if his monthly payment for three years is 150
Answer:
Amount of interest pay by Sam = $400
Step-by-step explanation:
Given:
Amount of loan taken by Sam = $5,000
Monthly payment made by Sam = $150
Number of year payment made by Sam = 3 Year
Find:
Amount of interest pay by Sam
Computation:
Total amount pay by Sam in 3 year = Monthly payment made by Sam x 12 x 3
Total amount pay by Sam in 3 year = 150 x 12 x 3
Total amount pay by Sam in 3 year = $5,400
Amount of interest pay by Sam = Total amount pay by Sam in 3 year - Amount of loan taken by Sam
Amount of interest pay by Sam = $5,400 - $5,000
Amount of interest pay by Sam = $400
Apples are sold in a supermarket at £1.20 per gram. What would be the cost of the apples being weighed on the scales below?
Please help.
Answer:
£ 4.20
Step-by-step explanation:
1 kg= £1.20
3.5 kg = £1.20*3.5
=£ 4.20
The cost of the apples being weighed on the scales would be £ 4.20
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
We are given that Apples are sold in a supermarket at £1.20 per gram.
Therefore, we know that
1 kg= £1.20
For 3.5 kg
= £1.20 x 3.5
=£ 4.20
The cost of the apples is £ 4.20
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
A frame for a collage of pictures is in the shape of a trapezoid. The two bases are 15 inches and 20 inches. The height of the trapezoid is 12 inches. What is the area enclosed by the frame?
Answer:
A=210in^2
Step-by-step explanation:
A=b1+b2/2h
A=(15+20)/2(12)
A=35/2(12)
A=17.5(12)
A=210 in^2
Is this circumference or Area ?
Plz help me plz I beg u no links olz
Answer:
This would be area because you are trying to find the total area that the sprinkler water touched and not the perimeter(circumference) of it
Hope this helps :)
Find the surface area.
Answer:
27
Step-by-step explanation:
(6×3)+(3×3)=27
18. 9.
Given the diagram below, find the height of the shorter tree.
16.2 m
7 m
13 m
19.7 m
Answer:
h = 13 m
Step-by-step explanation:
The triangles are similar, so the ratios of corresponding sides are equal, that is
[tex]\frac{h}{39}[/tex] = [tex]\frac{16}{48}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )
3h = 39 ( divide noth sides by 3 )
h = 13
what are the coordinates of the resulting point (2,1)
someone do this real quick for me
Answer:
295.68
Step-by-step explanation:
The equation of a circle is (x−2)2+(y−12)2=64 . What is the circle's center? Enter your answer by filling in the boxes.
Answer:
The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.
i also provided with a chart i dont know if it will help
Which is a diagonal through the interior of the cube?
AH
BE
CH
FG
The juice box below is 6 inches tall, 2 inches wide and 4 inches long. Find the surface area and volume of the juice box. please need help asap will give lots of points
Answer:
104
Step-by-step explanation:
A=2(wl+hl+hw)
Answer:
Solution given:
length[l]=5in
base[w]=2in
height[h]=6in
we have
surface area=2(lw×lh×wh)=2(5×2+5×6+2×6)
=104in²is surface area of juice box.
again
we have
volume =lwh=5×2×6
=60in³ is volume of juice box.
What is m∠X to the nearest degree
A. 44
B. 36
C. 46
D. 34
Answer:
Step-by-step explanation:
cos(∠X) = adj./hyp.
arccos(adj./hyp.) = ∠X
arccos(13/18) = 43.761...≈ 43°
what is 3x+2=x−6 what the answer
Answer:
x=-4
Step-by-step explanation:
sorry! I forgot the picture in my last question. Still trying to figure brainly out lol! I cant figure out the last blank one. Some help please? Thanks!
Answer:
-1y² the rest is right
Step-by-step explanation:
Solve for y please help!!!!!
Answer:
148
Step-by-step explanation:
3p + 85 +2p -10 =180
5p+75=180
5p=105
p=21
3p+85
3(21)+85=148
I really need help on this i dont know how to do it.
Answer:
Step-by-step explanation:
25x = 300
Rearrange to solve
x = 300 divided by 25 = 12
Hope this helps
SOMEBODY PLEASE EXPLAIN THE ANSWER
A store sells new video games for $55 each. Used video games sell for $12 each. Jacob is buying 3 new video games and x used video games. Which equation can be used to find y, the total price Jacob must pay in dollars?
A: y=165x+12
B: y=12x+165
C: y=12x+55
D: y=55x+12
It's C or A
Step-by-step explanation
this is because of the Commutative Property.
Answer this question to get marked as barinliest!!!!!
Answer:
D- 30 square units
Step-by-step explanation:
5 times 12 =60
60/2= 30
HELP 15 POINTS PLEASE
Answer:
x^2 + 8x + 7 and x(x + 8) + 7
Step-by-step explanation
Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 6
A. log 3
B. log(2) + log
log(3)
C. log(3)
D. log 2
Answer:
c
Step-by-step explanation:
log2-log 6=log(2/6)=log (1/3)
log(2) + log(1/6)
log(1/3)
Once the Bolsheviks seized control of Russia’s government Lenin began to negotiate an armistice with the Central Powers. Why were many Russians concerned with Lenin’s plan to end Russia’s participation in the war?
Answer:
I'm reading about it and mostly they're saying they were concerned with internal conflict within Russia. I'm not positive, it could be because of the loss of land, but it appears to be more politically motivated. uprisings with in the country. so my best guess would be none of the above
14.
Given that sin θ= 1 / √2, we want to find the value of tan θ.
First, find the value of θ.
Answer:
value of tan θ = 1
Step-by-step explanation:
To find θ do the asin of 1/√2
θ = asin (1/√2)
θ = asin (0.707106781)
θ = 45
and then to find tan θ, do tan 45
tan 45 = 1
I need help please thank you
Answer:
it will look like this let me know if I'm right and GOOD LUCK!
Step-by-step explanation:
The price of a visit to the dentist is $50. If the dentist fills any cavities, an additional charge of $100 per cavity
gets added to the bill.
If the dentist finds n cavities, what will the cost of the visit be?
Answer:
I believe the answer will be 50+100n dollars
Step-by-step explanation:
n is the number of cavities so however many cavities there is, it gets multiplied by 100, in this case, it is 100*n which is 100n. So your final cost would be 50+100n dollars.
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!
Answer:
C
Step-by-step explanation:
first multiply the numerator you will get 729multiply the denominator you get 6561then simplify your answersStep-by-step explanation:
3⁶/3⁸
= 3 × 3 × 3 × 3 × 3 × 3/ 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3
= 1/ 3 × 3
= 1/9 (option C)
= 1/3²
= (1/3)² (option D)
= 3-² (option B)
300$ at 6% for 2 yrs what is the simple interest
Answer:
Simple interest after 2 year = $36
Step-by-step explanation:
Given:
Amount invested = $300
Number of year amount invested = 2 year
Rate of interest per year = 6% = 6/100 = 0.06
Find:
Simple interest after 2 year
Computation:
Simple interest formula;
Simple interest = [Amount invested][Rate of interest][Number of year]
Simple interest after 2 year = [300][0.06][2]
Simple interest after 2 year = [18][2]
Simple interest after 2 year = $36
Which of the following equations relates the radius of a circle to its diameter? A) 2r = d. B) 2d =r 1 2 A = ir?
Answer:
A
Step-by-step explanation:
hi please helpppppppp
Answer:
The answer is C
Step-by-step explanation:
Hope it helps:)))
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