Find the equation for the line of best fit using the two points that are close to the line of best fit (2,70) and (4.5, 90)

Answers

Answer 1

Given:

Two points that are close to the line of best fit are (2,70) and (4.5, 90).

To find:

Th equation of best fit line using the given two points.

Solution:

We know that, if a line passes through the two points, then the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Two points (2,70) and (4.5, 90) are close to the best fit line.

Consider the two points (2,70) and (4.5, 90). So, the equation of line is

[tex]y-70=\dfrac{90-70}{4.5-2}(x-2)[/tex]

[tex]y-70=\dfrac{20}{2.5}(x-2)[/tex]

[tex]y-70=8(x-2)[/tex]

[tex]y-70=8x-16[/tex]

Adding 70 on both sides, we get

[tex]y=8x-16+70[/tex]

[tex]y=8x+54[/tex]

Therefore, the equation of best fit line is [tex]y=8x+54[/tex].


Related Questions

Write the exponential form of "(5)^-2 = 1/25" in logarithmic form *

Answers

The required logarithm form is -2log5

Given the exponential form of an equation expressed as;

[tex](5)^{-2} = 1/25[/tex]

For us to change the exponential form into logarithmic equation, first we need to identify the base, move it to the other side of the expression and then take the logarithm

Take the logarithm of both sides

[tex]= log(5)^{-2} \\=-2log5\\[/tex]

Hence the required logarithm form is -2log5

Learn more on logarithm here: https://brainly.com/question/17622052

On Wednesday the farmers at the Clay Farm picked 4 1/5 barrels of tomatoes. Thursday, the farmers picked 2 3/4 times as many tomatoes as on Wednesday. How many barrels of tomatoes did the farmers pick on Thursday?

Answers

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkkkk

The green shape is a dilation of the black shape. Is it an enlargement or a reduction?

Answers

I can’t see anything posted, I’m sorry :(

Essential Question 7th Grade
How can proportional reasoning help solve a problem?

Answers

Answer:

Proportional reasoning compares ratios to answer questions. We can use proportional reasoning to solve some questions directly, such as which size of laundry detergent is the cheapest per load, or what the dimensions of the model car should be.

Step-by-step explanation:

I got it off of the internet

what is 0.08 1/10 of​

Answers

Answer:

0.8

0.08 x 10 = 0.8

Answer:

0.8 I think.

Step-by-step explanation:

0.8×10 I hop tho helps

Please answer this correctly without making mistakes

Answers

Answer:

The first coupon with $550 off

Step-by-step explanation:

773.50-550= 223.5 (first coupon)

773.50×(100%-70%)=232.05(second coupon)

232.05>223.5

first one will save more money

Solve for x. Round to the nearest tenth.

Answers

Answer: 36.2

Step-by-step explanation:

30^2+15^2=1314

square root of 1314 is equal to 36.249

rounded to nearest tenth: 36.2

What is the average speed in miles per hour if a driver has traveled 8 miles in 10 minutes?

Answers

Answer:

48 MPH

Step-by-step explanation:

10 mins times 6= 60 mins which is an hour

8 miles times 6= 48 miles

This means the average is 48 MPH


What is this expression in words ?

Answers

Answer :

five x plus ten

In the property of equality what would the equation 3x+5=14?

Answers

The properties of equality used to solve the equation 3x+5=14 are subtraction and division.

What are the properties of equality?

The properties of equality, which can be used to solve any equation, include:

AdditionSubtractionDivisionMultiplication.

However, we can determine if the solution to the equation and the properties are correct by substituting the variable's value into the equation using the substitution property of equality.

Data and Calculations:

Check:

Given that 3x+5 = 14

3x = 14 - 5    Subtraction

3x = 9

x = 3 (9/3)    Division

Thus, in equation 3x+5=14, the properties of equality that would solve it are subtraction and division.

Learn more about the properties of equality at https://brainly.com/question/28293087

#SPJ1

Complete Question:

Which property of equality would be used to solve the equation 3x+5=14?

What is the equation of the line perpendicular to the line shown in the diagram that passes through the point (- 3, - 5) ?

Answers

Answer:

A X + 3y = 18

Step-by-step explanation:


NEED HELP ASAP! Will give brainliest!
(Do not just take points or I will report you.)

Sam and Bryan meet at the gym. Sam travels 6 miles farther to the gym than Bryan. Three times the distance Bryan travels is 12
miles. If x represents the distance traveled by Bryan to the gym, which statements are true when determining the distance traveled
by each?


A) 3x =12

B) X+6 =10

C) Sam travels 3 miles,

D) Sam travels 10 miles.

E) Bryan travels 13 miles.

Answers

Answer:A B and D

Step-by-step explanation:

USA TEST PREP.

write an equation of the line that is parallel to the line whose equation is 4y+9=2x and passes through the point (7,2)

Answers

ok so we’ll put the first equation into slope int form

4y=2x-9

y=1/2x -4/9

since the likes are parallel, the slope of the line we are trying to write an equation for is 1/2

equation:

y-2=1/2(x-7)

Find the derivation of the following functions with they corresponding variables

Answers

Answer:

d(f(t))/dt = –56/(t^8) – (5/6)/t^(7/6) + 12t^3 – 2t + (1/3)t^(2/3))

Step-by-step explanation:

To find the derivative of f(t), we have to find the derivative of each component of the function to make it easier.

d(8/(t^7))/dt = d(8xt^-7)/dt = –7 x 8 x t^-8 = –56t^-8 = -56/(t^8)

d(5/(t^(1/6)))/dt = –(1/6) x 5 x t^(-7/6) = –(5/6)/t^(7/6)

d(3t^4)/dt = 4 x 3 x t^3 = 12t^3

d(t²)/dt = 2t

d(t^⅓)/dt = ⅓t^(-2/3) = (1/3)t^(2/3))

d(12)/dt = 0.

Therefore,

d(f(t))/dt = –56/(t^8) – (5/6)/t^(7/6) + 12t^3 – 2t + (1/3)t^(2/3))

A school carnival sold 18 early-admission tickets and 57 regular tickets. What percentage of the tickets sold were early-admission tickets

Answers

Answer:

60%

Step-by-step explanation:

57 / 95× 100 = 50%

Please Leave an Excellent Rating and a THANKS

Answer:

Step-by-step explanation:

Add the two tickets together to get a whole.

18+57 = 75

Divide 18/75

≈0.24

multiply by 100

you get 24%

The rectangular coordinate system shows the graph of the equations in a system of equations. Use the graph to determine the number of solutions for the system. If the system has only one​ solution, give its coordinates.

Answers

Answer:

There are an infinite number of solutions.

Step-by-step explanation:

ms.brown can make a floral arrangement in half an hour. How many can she make in 7 and a half and hour [ direct variations ]​

Answers

Assuming that a car gets 28 miles per gallon of gas, how many gallons of gas are required for the car to go 560 miles?

A chemist wants to mix a 10% acid solution with a 26% acid solution to obtain 16 liters of a 14% acid solution. How much of the 26% solution should she use?

Answers

Answer:

The 26% solution should she use is explained below in detailed explanation.

Step-by-step explanation:

Assumed there be 10 percent of x liters of acid solution

Assumed there be 26 percent of y liters of acid solution

provided Information

A chemist needed to combine a 10 percent acid solution with a 26 percent acid solution to obtain 16 liters of a 14 percent acid solution

So, ( 10 / 100 )*x + ( 26 / 100 )*y = ( 14 / 100 )*16

=> 0.1*x + 0.26*y = 0.14*16

=> 0.1*x + 0.26*y = 2.24 ....................... eq 1

x + y = 16 ......................... eq 2

Multiply ( 0.1 ) in both side in eq 2

=> 0.1*x + 0.1*y = 0.1*16

=> 0.1*x + 0.1*y = 1.6 ......................... eq 3

Subtract eq 3 from eq 1

0.1*x - 0.1*x + 0.26*y - 0.1*y = 2.24 - 1.6

=> 0.16*y = 0.64

=> x = 0.64 / 0.16

=> y = 4

So, 4 liters of 26% solution she should utilized

Does anybody know what the answer to this question is?
If you know, please tell me. I'm really in a hurry.

Answers

Answer:

28x−6

Step-by-step explanation:

Okay 2 sides of equal lenght so

2(6x-4)+2(8x+1)=

12x-8+16x+2

28x-6

PLSSSSS HELPPPPPPP ASAPPPPPP!!!! I WILLL GIVE BRAINLIEST!!!! PLSSSSS HELPPPPPPP ASAPPPPPP!!!! I WILLL GIVE BRAINLIEST!!!!

Answers

Answer:

(4, -1)

Step-by-step explanation:

If you plug in 4 and -1 to both of the functions, they will both "work". They output the correct number and are equal.

Answer:

The first option (4, -1)

Step-by-step explanation:

i feel like this should be easy but idk. This needs to be in order from greatest to least. I know that R is 63, but the options are

RS, ST, RT,
RT, ST, RS
RS, RT, ST
ST, RT, RS

i don’t understand why they are like “ST” instead of a single angle? I really need an explanation for this, i have a quiz tomorrow thank you

Answers

Answer:

RS,RT,ST

Step-by-step explanation:

63+60=123 , 63+57=120 ,60+57=117

the bag of letter tiles include 15 vowels and 25 consonants. What is the probability of selecting two vowels one after another NEED HELP ASAP

Answers

Answer: 0.1346

Step-by-step explanation:

Number of vowels = 5 vowels

Number of consonants = 25

For us to calculate the probability of selecting two vowels one after another, we have to select the first vowels which will give a probability of 5/40, then we select the second vowel which will be 4/24 since there'll be 4 vowels left 39 alpahabets.

Therefore, probability of selecting two vowels one after another will be:

= 15/40 × 14/39

= 3/8 × 14/39

= 0.1346

Can someone help me with these questions?

Answers

4.334, just use your calculator

Solve each of the following equations by first using the distributive property to rewrite one or both of the two sides of the equation.
(A) 2(5t+9)=36-7(t-2)+t
(B) 47+s=8(s+2)-s+13

Answers

Answer:

A) t = 2

B) s = 3

Step-by-step explanation:

(A) 2(5t+9)=36-7(t-2)+t

Expand 2(5t + 9) using distributive law
[tex]2(5t + 9) = 2 \cdot 5t + 2 \cdot 9 = 10t + 18[/tex]
Expand -7(t-2) using distributive law
[tex]7(t-2) = -7 \cdot t - (-7) \cdot 2 = -7t + 14[/tex]
simplify [tex]36-7\left(t-2\right)+t[/tex]
[tex]36-7\left(t-2\right)+t = 36-7t+14+t = -6t+50[/tex]
Set lhs = rhs
[tex]10t+18=-6t+50[/tex]
Subtract 18 from both sides
[tex]0t+18-18=-6t+50-18[/tex]
Simplify
[tex]10t=-6t+32[/tex]
Add 6t to both sides
[tex]0t+6t=-6t+32+6t[/tex]
Simplify
[tex]16t=32[/tex]Divide by 16 both sides

[tex]\dfrac{16t}{16}=\dfrac{32}{16}[/tex]
==> t = 2 (answer A)


(B)  47+s=8(s+2)-s+13

8(s+2) = 8s + 16RHS becomes 8s + 16 - s + 13
==> 7s + 29We get
47 + s = 7s + 29Subtract s from both sides
⇒ 47 = 7s - s + 29
⇒  47 = 6s  + 29

Subtract 29 from both sides
47 - 29 = 6s
18 = 6sDivide both sides by 6
⇒ 18/6 = 6s/6
⇒ 3 = s
or s = 3

Drag expressions to complete each equation.

Answers

[tex] {a}^{b} \times {a}^{c} = {a}^{(b + c)} [/tex]

[tex] \frac{ {a}^{b} }{ {a}^{c} } = {a}^{(b - c)} [/tex]

[tex] {a}^{c} \times {b}^{c} = {ab}^{c} [/tex]

Solve for x and y. Round to the nearest tenth.

Answers

x = 10

the two sides are congruent and you know that by finding the other angle 90+45= 135
180-135=45

y= 14.1

10^2+10^2=c^2
100+100=c^2
200=c^2
14.142.. =c

Evaluate. Write your answer as a fraction in simplest form.

Answers

Answer:

[tex]\frac{27}{64}[/tex]

Step-by-step explanation:

[tex]\left( \frac{3}{4}^3 \right) = \frac{3^3}{4^3} = \frac{3\cdot 3\cdot 3}{4 \cdot 4 \cdot 4} = \frac{27}{64}[/tex]

inverse of functions​

Answers

the answer would be D.

Find A if B=30.6°, b=7.42 in, and c=4.45

Answers

The answer to this is A = 131.6 degrees

La suma de dos números es 84. Tres veces el número menor excede el
número mayor por 60. Halla los números.
Separa las respuestas con una!

Answers

Yes it would be 59. 59 is the correct answer. Hopefully
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