Regression equations are used to represent the relationship between the x and y variables.
The regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]
Using a graphing calculator, we have the following parameters
Sum of x: [tex]\mathbf{\sum x = 269}[/tex]Sum of y: [tex]\mathbf{\sum y = 3170}[/tex]Mean of x: [tex]\mathbf{\bar x = 38.4286}[/tex]Mean of y: [tex]\mathbf{\bar y = 452.8571}[/tex]Sum of squares: [tex]\mathbf{SS_x = 1679.7143}[/tex]Sum of products: [tex]\mathbf{SP = -648.5714}[/tex]The regression equation is represented as:
[tex]\mathbf{y =bX +a}[/tex]
Where:
[tex]\mathbf{b = \frac{SP}{SS_x}}[/tex] and [tex]\mathbf{a = \bar y-b \times \bar x}[/tex]
So, we have:
[tex]\mathbf{b = \frac{-648.5714}{1679.7143}}[/tex]
[tex]\mathbf{b = -0.39}[/tex]
Also, we have:
[tex]\mathbf{a = \bar y-b \times \bar x}[/tex]
This gives:
[tex]\mathbf{a = 452.8571 - (-0.39 \times 38.4286) }[/tex]
[tex]\mathbf{a = 467.84}[/tex]
Substitute values for (b) and (a) in [tex]\mathbf{y =bX +a}[/tex]
[tex]\mathbf{y =-0.39X +467.84}[/tex]
Hence, the regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]
See attachment for the scatter plot
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What is it. As a fraction
Step-by-step explanation:
i Don't know?is that the questions?
please help asap…………
Answer:
linear
Step-by-step explanation:
this equation will form a straight line and for each 'y' value there will only be one unique 'x' value
Use substitution to solve the system. 5X+3Y=22 Y=2X-11
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.
We can solve this problem in two steps, Comprehending, and Solving/Checking our answers. I'll be starting off with Comprehending.
Comprehending
We can solve the problem with substitution by finding out what one variable is equal to in terms of the second variable.
This is what we would call System of Equations where we need to find the point where the lines hit.
We can do this either with Graphing, or Algebra. In this case, we need to use substitution, so it has to be Algebraically.
Now that we know how to solve it/what to do, we can start solving.
Solving
We can solve the problem by first replacing y with its correct value in terms of x. Since we know the two equations, we can begin solving.
[tex]y=2x-11\\5x+3y=22[/tex]
We can solve it by inserting our y value into the y value of the second equation.
[tex]5x+3(2x-11)=22\\5x+6x-33=22\\11x=22+33\\11x=55\\x=5[/tex]
Now that we know our x value, we can solve for y by inserting it into an equation.
[tex]y=2(5)-11\\y=10-11\\y=-1[/tex]
Now that we have solved, we have gotten out point of (5,-1)
We can test this by inputting it into an equation. (Any of the latter).
[tex]5(5)+3(-1)=22?\\25-3=22?\\22=22[/tex]
Now that we have checked our answer and it appears correct, we have gotten our answer of (5,-1).
Answer:
(5, - 1 )
Step-by-step explanation:
5x + 3y = 22 → (1)
y = 2x - 11 → (2)
Substitute y = 2x - 11 into (1)
5x + 3(2x - 11) = 22 ← distribute parenthesis and simplify left side
5x + 6x - 33 = 22
11x - 33 = 22 ( add 33 to both sides )
11x = 55 ( divide both sides by 11 )
x = 5
Substitute x = 5 into (2)
y = 2(5) - 11 = 10 - 11 = - 1
solution is (5, - 1 )
Find the measures of angles 1 and 2.
Answer:
angle one:100 degrees
angle two:70 degrees
Step-by-step explanation: so angle two and the angle with 70 degrees are alternate angles, so they would be the same. at this point if you subtracted 70 from 180 because angle b is 180 degrees, you would get 110, so then you would have three angles, and it wouldn't be too hard to find the fourth, which is 100 degrees.
The rule for a pattern is "diamond, square, triangle, circle." If this pattern continues, what will be the thirteenth shape?
Answer:
diamond
Step-by-step explanation:
Answer:
diamond
Step-by-step explanation:
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
Parallel
Step-by-step explanation:
So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doent change, just the starting point
for example use the following equations
y = x + 2
y = x + 3
In the graph, these equations are parallel
Answer:
Neither
Step-by-step explanation:
Because the y intercepts, or the (point on the y axis) is different
May I please have brainliest?
solve pls brainliest
Answer:
Step-by-step explanation:
x= cost per gallon
10x=23
x=2.3
2.3*15= 34.5
20 POINTS !!
x^2+y^2+2x+2y=0
x^2+y^2+2x+6y+9=0 solve each system using substitution
Will mark brainlyest if steps are provided
Answer:
Step-by-step explanation:
x²+y²+2x+2y=0 ...(1)
x²+y²+2x+6y+9=0 ...(2)
subtract (1) from (2)
x²+y²+2x+6y+9-(x²+y²+2x+2y)=0
x²+y²+2x+6y+9-x²-y²-2x-2y=0
4y+9=0
4y=-9
[tex]y=-\frac{9}{4}[/tex]
put in (1)
[tex]x^{2} +(-\frac{9}{4} )^2+2x+2(-\frac{9}{4} )=0\\x^{2} +2x+\frac{81}{16} -\frac{9}{2} =0\\x^{2} +2x+\frac{81-72}{16} =0\\x^{2} +2x=-\frac{9}{16} \\adding 1 \\x^{2} +2x+1=-\frac{9}{16} +1\\(x+1)^2=\frac{-9+16}{16} \\x+1=\pm\sqrt{\frac{7}{16} } \\x=-1 \pm\frac{\sqrt{7} }{4} \\x=\frac{\sqrt{7} -4}{4} \\and\\x=\frac{-\sqrt{7} -4}{4}[/tex]
solution is ((√7-4)/4,-9/4)
and ((-√7-4)/4,-9/4)
PERSONALLY I thought it would be 98 Bc like yk..BUT I FEEL LIKE IM WRONGsend help beggin cryin throwin up I hate geometry so much
Answer:
98
Step-by-step explanation:
It is 98! x and the 98 degree angle are corresponding angles and m is parallel to n. dw I hate geometry too.
Which two integers is 129 between?
Answer:
128 130
Step-by-step explanation:
128 129 130
A Dog’s grew 2 1/2 inches in 12 1/2 weeks.How long will the hair grow in 1 week
Using the principle of proportional relationship, the length of hair grown by the dog in 1 week would be 0.2 inches
Setting up the relationship thus :
12.5 weeks = 2.5 inches
1 week = p inches
Cross multiply
12.5p = 2.5
Divide both sides by 12.5
p = 2.5 / 12.5
p = 0.2 inches
Hence, the length grown in 1 week is 0.2 inches
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102 = V - 66
Addition and subtraction equation practice
Answer:
[tex]V=168[/tex]
Step-by-step explanation:
[tex]Here,102=V-66[/tex]
[tex]102+66=V[/tex]
[tex]168=V[/tex]
Sorry If it is wrong.....
see the attachment
What is the 37th term of the arithmetic sequence with the first term -39 and the common difference of 8.
Answer:
[tex]a_{37}=249[/tex]
Step-by-step explanation:
A sequence that has a common difference is an arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, n is the index, and d is the common difference.
In your question:
n = 37a₁ = -39d = 8Plug those into the formula:
[tex]a_{37}=-39+(37-1)8[/tex]
Then solve:
[tex]a_{37}=-39+(36)8\\a_{37}=-39+288\\a_{37}=249[/tex]
Ms. Miller decides gives a test worth 120 points and contains 36 questions. Multiple-choice questions are worth 3 points and open-response questions are worth 5 points. How many of each type of question are there?
How long does it take the ball to hit the ground when dropped from 50ft.?
I hope it's about 1.8 sec
solve pls brainliest
Answer:
y = 13x
Step-by-step explanation:
Substitute 2 in x and you'll get 26:
y = 13•2
y = 26
The athletic department raised $14,533 to buy new football uniforms if each uniform costs $258 how many uniforms can they buy
Answer:
56 uniformsStep-by-step explanation:
Available amount = $14533Cost of each uniform = $258Number of uniforms can be bought:
14533/258 = 56 (rounded down)Amount to be spent:
56*258 = 14448Remaining amount:
14533 - 14448 = 85hent "three squared times the sum of five and seven".
Answer:180
Step-by-step explanation:
Answer the following problem using the SOLVE Method Math Club members are selling Math club members are selling Pi Day T-shirts for $7.50 each. The goal is to raise $500 by Friday. The figure below shows how much they have raised by Wednesday. What is the minimum number of T-shirts they must still sell in order to reach their goal? Explain your reasoning.
The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Let x represent the number of Pi Day T-shirts sold.
They are selling Pi Day T-shirts for $7.50 each, So to raise $500:
7.5x > 500
Dividing through by 7.5:
7.5x / 7.5 > 500 / 7.5
x > 66.7
Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
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help!!!
i will give a brainliest!!
Answer: is 1 and 3
Step-by-step explanation:
Lim wrote several pairs of values that he thought were equivalent. Which of his equations is correct?
3/5 = 60%
0.06 = 60%
0.002 = 2%
1/4 = 75%
Answer:
I believe the correct answer would be A: 3/5 = 60
Step-by-step explanation:
Firstly, the second option is wrong because 0.06 would be 6 hundredths, so that is wrong, the third option would be incorrect because 0.002 would equal 2 thousandths so that is also wrong, and the fourth option would be 25% instead of 75%, so your answer should be A.
The answers are ad||cd, be=de,
Answer:
Its AD||CD
Step-by-step explanation:
Select the correct answer from each drop-down menu.
What is the distance and midpoint between points D and E on the number line?
Invention of the distance options
6.2, 2.6, 4.2, 0.6
Midpoint options 0.6, 0.3, 1.2, and 0.1
Answer:
4.2
0.6
Step-by-step explanation:
The distance and midpoint between points D and E on the number line 4.2 and 0.6
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.
We need to find the distance and midpoint between points D and E on the number line.
Invention of the distance options; 6.2, 2.6, 4.2, 0.6
Midpoint options 0.6, 0.3, 1.2, and 0.1
Here the distance between points D and E on the number line
= 4.2
Thus, the midpoint between points D and E on the number line = 0.6
Hence, the distance and midpoint between points D and E on the number line 4.2 and 0.6
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#SPJ2
a) 60 square meters in square centimeters.
Answer:
600,000 cm²
Step-by-step explanation:
We know the conversion from meters to centimeters to be
1 m = 100 cm.
We need the conversion factor from square meters to square centimeters.
Start with
1 m = 100 cm
Square both sides.
(1 m)² = (100 cm)²
1 m² = 10,000 cm²
Now that we have the correct conversion factor from m² to cm², we can do the conversion of 60 m² into cm².
60 m² × (10,000 cm²)/(1 m²) = 600,000 cm²
what is the answer to this question
6(3/4 + 2/3) - 4(1/6 + 1/2)
Answer:
5.83333333333
Step-by-step explanation: there you go
Hey can you check the problems I have done and explain the ones I don't
i cant see very clearly the paper, however here is everything i can see and how i think they should be solved:
use a point on the number line to represent a number ot whose absulute vaue is?
Answer:
A
Step-by-step explanation:
Which line is perpendicular to the line x =
į
?
O A. X = -2y
B. y = - 2x
O
C. X = -2
O
D. y = 2
Answer:
Option D
Hope this helps!
g(t) = (t-10) (t+1)
1) What are the zeros of the function?
Step-by-step explanation:
Write properties of function:
x intercept/zero: ; T1= -1 and T2=10
vertex form: g(t)= (t-9/2)^2, (-121/4)
vertex: 9/2, 121/4
Explanation Write properties of function: Write properties of function:
x intercept/zero: ; t1=-1, and t2=10
vertex form: (t-9/2)^2, (-121/4)
vertex: 9/2, 121/4
hope this helped
8x^2x WHATS THE STANDARD FORM WHATS THE COEFFICIENT QUICKLY PLSS