Given the following data points, calculate the curve of best fit. Show all steps.

Given The Following Data Points, Calculate The Curve Of Best Fit. Show All Steps.

Answers

Answer 1

The equation of curve of best fit is y = -30.17x + 14.49. To find the curve of best fit, we would require two equations which are explained in details below.

Equation of Straight Line

Data;

∑x = 16∑y = 50.9∑x^2 = 35∑xy = 24.6

The equation of straight line is y = ax + b

If we modify it to fit into this problem,

[tex]\sum y = na + b \sum X ... equ(i)\\\sum xy = a \sum x + b \sum x^2 ...equ(ii)[/tex]

Let's substitute the values into the equations and solve

[tex]\sum y = na + b \sum X ... equ(i)\\\sum xy = a \sum x + b \sum x^2 ...equ(ii)\\50.9 = 6*a + b*16 ...equ(i)\\24.6 = a*16 + b*35 ...equ(ii)\\50.9 = 6a + 16b ...equ(i)\\24.6 = 16a + 35b ...equ(ii)[/tex]

Let's solve both equation (i) and equation (ii)

[tex]50.9 = 6a + 16b...equ(i)\\24.6 = 16a + 35b ...equ(ii)\\a = -30.17, b = 14.49[/tex]

We can substitute the values of a and b into the equation

[tex]y = ax + b\\y = -30.17x + 14.49[/tex]

The equation of curve of best fit is y = -30.17x + 14.49

Learn more on equation of best fit on linear regression here;

https://brainly.com/question/9366563


Related Questions

A triangle is inscribed in a rectangle, as shown below. What is the area of the shaded region?

Answers

option C

47.5 cm²

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Shade 2/3 of this grid

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Answer:

The answer is in the attachment

Step-by-step explanation:

!!PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!

Step-by-step explanation:

Hope its helpful for you!!

Can someone help me with this pls

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Answer:

10^4 * 4^5

Step-by-step explanation:

4^5 and 4^10 cancell out by the rule of exponents, so the denominator becomes 1. what is left is 10^4 * 4^5 in the denominator.

Answer:

[tex]{10^4*4^5}[/tex]

Step-by-step explanation:

Use the Qoutient of Powers Property: [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

[tex]\frac{10^4*4^{10} < ==a^m}{4^5 < ==a^n}\\\\{10^4*4^{10-5}}\\\\{10^4*4^5}[/tex]

Hope this helps!

Hello! anyone???

[tex]please \: see \: the \: picture \: [/tex]

Answers

Answer:

7

Step-by-step explanation:

I assume x with dash on top is mean

The sum of all x's is 175 and there are 25 x's.

To find the mean:

175/25 = 7

What is 18x98 and if you were to choose between which one would you choose A)1764 B)1976 C)5676 Thank you!

Answers

Answer:

1764

Step-by-step explanation:

10 x 98 = 980

8 x 98 = 784

980 + 784 = 1764

Answer:

I would choose A) 1764

Step-by-step explanation:

I know this because I used a calculator;)

Which comparison is correct?

Answers

Answer:

B

Step-by-step explanation:

-5 is less than -4 is true. it cannot be the first one because they are equal. It cannot be the third one because the absolute value of 5 (which is 5) is not greater than 7. And, it cannot be the last on because the absolute value of -5 (which is also 5) is not less than -4.

The dimensions of a rectangle are:
-8x and -7x
Write the simplified expression for the rectangle's area.

Answers

Step-by-step explanation:

area=L×W

so

Area= (-8x)(-7x)

= 56x^2

Please help!! Will mark brainlyest.

Answers

Answer:

Reflected on the Y axis

Step-by-step explanation:

x axis is 0, while y axis is both 7 and -7.

Last Question HELP

What is the inverse of `y = 5x + 7

Show Steps!

Answers

Answer:

[tex]\sf y' = \dfrac{x-7}{5}[/tex]

Explanation:

⇒ y = 5x + 7

⇒ 5x + 7 = y

⇒ 5x = y - 7

⇒ x = (y-7)/5

replace x with y

⇒ y' = (x-7)/5

y=5x+7

Take this and solve for x

5x=y-7x=y-7/5

Interchange y and x

y=x-7/5

So

The inverse is

[tex]\\ \rm\dashrightarrow y^{-1}(x)=\dfrac{x-7}{5}[/tex]

Andrew is building a ramp for a snowboarding competition. The rules of the competition say that the height of the ramp must be 8 feet. Andrew has decided to make the base of the ramp and the piece of the ramp that forms the height meet at a 90° angle. The third piece of the ramp will be a straight line connecting the highest point of the ramp to the furthest point of the base, forming a 30° angle across from the 8 foot piece of the ramp. What will be the length of the third piece of the ramp?
A. 13.86 feet
B. 10 feet
C. 16 feet
D. 9.24 feet

Answers

im not just answering for points now this is on g00gIe this the answer is 9.24

Choose Your Own Solution
3x + 8 = 3x +?

What would make it true for just one value of x?

Answers

Answer:

Your answer would be

x = 8

Please help me with this question.

Answers

Answer:

C

Step-by-step explanation:

C, because the second line keeps adding 6 to it and, the third line keeps adding 7.

Someone earned 24$ in two years by investing 400$ what is the simple intrest

Answers

25 multi 400 85300 answer

What type of triangle is defined by the following set of side lengths

11, 9 , 7



Acute


Obtuse


Right


Not a triangle

Answers

Answer:

ACUTE TRIANGLE

Step-by-step explanation:

If the sum of the squares of the two shorter sides of a triangle is greater than the square of the longest side, the triangle is acute. However, if the sum of the squares of the two shorter sides of a triangle is smaller than the square of the longest side, the triangle is obtuse.

Therefore, the triangle with sides 11, 9, and 7 is an acute triangle since 9² + 7² is greater than 11²

[tex] {9}^{2} \: + \: {7}^{2} > \: {11}^{2} \\ 130 > 121[/tex]

The shopping center has a parking lot that is 210.12 feet by 155.13 feet. What is the perimeter of the parking lot

Answers

The shopping center has a parking lot that is 210.12 feet by 155.13 feet. The perimeter of the parking lot is 730.5 ft. P = 2(l + w); P = 2(210.12 + 155.13); P = 2(365.25); P = 730.5

Answer:

Step-by-step explanation:

b is the answer i first i was confused with the other answer but its b

Two solids are described in the list below.

• One solid is a sphere and has a radius of 6 inches.

• The other solid is a cylinder with a radius of 6 inches and a height of 6 inches.

What is the difference between the volumes, in cubic inches, of the solids in terms of it?

Answers

Answer:

72pi

Step-by-step explanation:

ryan bought a wii game for 34.00 at the mall. he had to pay 6 % sales tax. How much did he pay in all

Answers

Answer:

$36.04

Step-by-step explanation:

34 * 1.06 = 36.04

i need assistance with math pls show your work to

Answers

Answer:

x = 7.5, x = -5

Step-by-step explanation:

1. Plug a(2), b(-5), and c(-75) into the qudratic formula:

[tex]x_{1,2} =\frac{-(-5)+-\sqrt{(-5)^{2}-4(2)(-75) } }{2(2)}[/tex]

2. Find the square:

[tex]x_{1,2} =\frac{-(-5)+-\sqrt{25-4(2)(-75) } }{2(2)}[/tex]

[tex]x_{1,2} =\frac{-(-5)+-\sqrt{25+600} }{2(2)}[/tex]

[tex]x_{1,2} =\frac{-(-5)+-25 }{4}[/tex]

3. Separate the solutions:

[tex]x_{1} = \frac{-(-5)+25}{4} , x_{2} =\frac{-(-5)-25}{4}[/tex]

4. Solve for both:

[tex]x_{1} =\frac{5+25}{4} \\\\x_{1} =\frac{30}{4} \\\\x_{1} =\frac{15}{2}\\\\x_{1} =7.5[/tex]

--------------------

[tex]x_{2} =\frac{5-25}{4} \\\\x_{2} =\frac{-20}{4} \\\\x_{2} =-5[/tex]

In conclusion, the solutions are x = 7.5 and -5.

hope this helps!

solving quadratic inequalities

Answers

Answer:

[tex]\boxed{\sf x < -3\quad \mathrm{or}\quad \:x > -1}[/tex]

Step-by-step explanation:

[tex]\sf x^2+4x+3 > \:0[/tex]

In order to solve inequality, we need to factor the left hand side. we can use the transformation [tex]ax^2+bx+c=a(x-x_1)(x-x_2)[/tex] to factor quadratic polynomials. where  x(1) & x(2)  are the solutions of the quadratic equation  ax²+bx+c=0 .

[tex]\sf x^2+4x+3=0[/tex]

Quadratic formula:-

[tex]\boxed{\sf x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]

[tex]\sf a=1\\b=4\\c=3[/tex]

[tex]\sf \cfrac{-4\pm \sqrt{4^2-4\times \:1\times \:3}}{2\times \:1}[/tex] ← Calculate

[tex]\sf \sqrt{4^2-4\times \:1\times \:3}=\boxed{2}[/tex]

[tex]\sf \cfrac{-4\pm \:2}{2\times \:1}[/tex]

Now, let's Separate the solutions,

[tex]\sf x_1=\cfrac{-4+2}{2\times \:1},\:x_2=\cfrac{-4-2}{2\times \:1}[/tex]

Do the calculations,

[tex]\sf x_1=\cfrac{-4+2}{2\times \:1}=\boxed{-1}[/tex]

[tex]\sf x_2=\cfrac{-4-2}{2\times \:1}=\boxed{-3}[/tex]

[tex]\boxed{\sf x < -1\quad \mathrm{or}\quad \:x > -3}[/tex]

What is 6 3/4 times 3 1/2 divided by 3 3/5 divided by 3 3/4?

Answers

Answer:

1.75

Step-by-step explanation:

Should be about 1.75

d = 6 m.

Calculate the circumference of the circle.

Answers

Step-by-step explanation:

circumference = 2 pi r = 2 r pi

= d pi

= 6 × 3.14 = 18.84

Which statement is true?

Answers

We will see that the fourth statement:

"-0.3*|3 + 8x| = 0.9 has no solutions."

Is the true statement.

Which statement is true?

Here we need to see which statement regarding absolute value equations is true.

Here you can see that the fourth statement is:

-0.3*|3 + 8x| = 0.9   has no solutions.

Now, if you look at the left side of the above equation, the left side will always be negative, while the right side is positive, then the equation can't have a solution.

There is no value of x that makes that equation true, so it is true that the given equation has no solutions. This is the correct statement.

If you want to learn more about absolute values, you can read:

https://brainly.com/question/1782403

Which property was used to simplify the expression?
3c+9+4c+=3c+4c+9


distributive property
commutative property
associative property
inverse property

Answers

Answer:

  (b)  commutative property

Step-by-step explanation:

The "simplified" expression has the positions of the last two terms in the sum swapped. The property of addition that lets you change the order of the terms is the commutative property of addition.

Landon Wallin is an auto mechanic who wishes to start his own business. He will need ​$4100 to purchase tools and equipment. Landon decides to finance the purchase with a 60​-month fixed installment loan with an APR of 6​%.
​a) Determine​ Landon's finance charge.
​b) Determine​ Landon's monthly payment.

Answers

Answer:

a.$1230

b.$20.50

Step-by-step explanation:

Assuming Landon only makes the minimum payments for the sixty months this is how you would find it

Multiply loan by percentage over the five years: 4100 x .3 = 1230

Then divide that amount by months paid: 1230/60= 20.5

Please help me asap

Answers

Answer:

One tank can hold, on average, 108.1 gallons of water. A half tank will hold 54.05 gallons of water.

Step-by-step explanation:

432.4 galloons in total in 4 tanks

432.4 : 4

? : 1

432.4/4=108.1, so 108.1 gallons in each tank

Half of 108.1 is 54.05, so half a tank would have 54.05 gallons.

Which of the following is true? (8th Math)

Answers

A. There is an infinite amount of solutions

This is true because when simplifying the two equations you end up with 0=0 making all real numbers a solution to the equation

Please help
Find the area of each triangle.


Answers

Answer:

c is 7

Step-by-step explanation:

becuase 4x4=16 then u divide 16\2=7

                                                   

If Angie spins the spinner 250 times, predict the number of times it will land on green.
Outcome Freq. Red 4 Green 10 Blue 6

Answers

Answer: 2500

Step-by-step explanation: 250 spins times the amount of greens expected equals 2500.

Harry's kitchen table is round and has a radius of 2 feet. What is the tabletop's diameter?

Answers

Answer:

4

Step-by-step explanation:

An object's radius is half of the object's diameter.

Solving for diameter

d = r * 2

Solving for radius

r = d/2

d = r * 2

  = 2 * 2

  = 4

The diameter of Harry's table is 4 feet.

IF SAM BUY'S A CHOCOLATE AT PRICE 8 DOLLER AND SELLS THE CHOCOLATE AT PRICE 8.5 DOLLER. HOW MUCH CHOCOLATE WOULD SAM HAVE TO SELL TO MAKE A PROFIT 25 PERCENT.

Answers

Answer:

................... Sam should sell 25 chocolate

Step-by-step explanation:

hahaha

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