What is the equation of the line of best fit for the following data? Round the
slope and y-intercept of the line to three decimal places.
X
4
7
y
5
7
10 12
12 14
13 18

Answers

Answer 1

The equation of the line of best fit for the given data is Y = 0.979X + 1.722

We can use the following formula to calculate the slope of the line of best fit:

slope = (N∑XY - ∑X∑Y) / (N∑X² - (∑X)²)

where N is the number of data points, ∑X represents the sum of all X values, ∑Y represents the sum of all Y values, ∑XY represents the sum of the product of X and Y values, and ∑X² represents the sum of all squared X values.

Using the given data, we can plug in the values into the formula to get:

slope = (5(4)(5) + 7(7)(7) + 10(12)(10) + 12(14)(12) + 13(18)(13) - (4+7+10+12+13)(5+7+12+14+18)) / (5(4²) + 7(7²) + 10(10²) + 12(12²) + 13(13²) - (4+7+10+12+13)²)

slope = 0.979

Next, we can use the following formula to calculate the y-intercept of the line:

y-intercept = y - slope(x)

where y represents the mean of all Y values, x represents the mean of all X values, and slope represents the slope of the line of best fit that we just calculated.

Using the given data, we can calculate the mean of X and Y values as follows:

x = (4 + 7 + 10 + 12 + 13) / 5 = 9.2 y = (5 + 7 + 12 + 14 + 18) / 5 = 11.2

Now, we can plug in the values into the formula to get:

y-intercept = 11.2 - 0.979(9.2)

y-intercept = 1.722

Therefore, the equation of the line of best fit for the given data is:

Y = 0.979X + 1.722

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Related Questions

One lap around a standard high-school running track is exactly 0.25 miles. Write the function miles_to_laps() that takes a number of miles as an argum

Answers

Answer:

Step-by-step explanation:

The following code is written in Python. It is a function that takes in the number of miles as an argument and returns the number of laps that those miles represents.

def miles_to_laps(miles):

   laps = miles / 0.25

   return laps

Suppose you buy 2 marbles for $0.16 each. You pay for it with 4 quarters. How much change should you get back? Enter your answer.

Answers

Answer: You should get 0.68 back

Step-by-step explanation: I just did a test and got 100%

Answer:

3 $0.16 = $0.48

or

4 $0.25 = $1.00 hope this helps

Step-by-step explanation:

At a used book sale, 5 books cost $15.
What is the cost per book?
Type your answer here...
A
fx
At this rate, how many books can you buy for $21?
Type your answer here...
A

Answers

Every book would be $3 so you could buy 7 books for $21

Answer:

The first question is simple. It's $3 for 1 book. The second question is 7.

Step-by-step explanation:

15/5 = 3

15/5 = 21/x

15x = 105

7

When is a repeating decimal acceptable to use during calculations? When should you convert a repeating decimal to a fraction for calculations?

Answers

A repeating decimal is acceptable to use during calculations when you require a certain level of precision

When is a repeating decimal acceptable to use during calculations?

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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The equation of the line that passes through (5, 15) and (2, 6) is y =3x.


True

False

Answers

Answer:

true

Step-by-step explanation:

the slope is 3

so the equation would be

y=3x

hope this helps :3

if it did pls mark brainliest

please help me solve this math problem, tryna graduate here

please help me solve this math problem, tryna graduate here

Answers

Answer:

141°

Step-by-step explanation:

Each of three identical jewelry boxes has two drawers. Each drawer of the first box contains a gold coin. Each drawer of the second box contains a silver coin. In the third box, one drawer has a gold coin and the other drawer a silver coin. If a box and drawer are selected at random, and the selected drawer has a silver coin, what is the probability that the other drawer has a gold coin

Answers

Answer:

75%

Step-by-step explanation:

75% of possibility to have gold coin

An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common factor. (4 points) Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

The expression factoring out the greatest common factor is  (3pf - 21p²)(f + 2).

We have the expression as

3pf² - 21p²f + 6pf - 42p²

Now, factorising the expression as

= 3pf² + 6pf - 21p²f - 42p²

= 3pf(f +2) - 21p²(f + 2)

= (3pf - 21p²)(f +2)

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Find the area.
14 in
6.8 in

Answers

Answer:

95.2

Step-by-step explanation:

It nearly confused me, but I got the entire thing in my brain.

Given equation:

14 * 6.8

Solve:

Transfer:6.8 ⇒ 68Solve:14 * 68= 952Transfer a decimal point to the right 1 space:952 → 95.2.

Answer is 95.2.

harrison bought a 10 foot ramp to load his dirt bike into the back of his truck. the ramp hooks to the 3 foot high tailgate. how far away from the tailgate doe the ramp sit in the ground?

Answers

Answer:

9.54 feet

Step-by-step explanation:

Using Pythagoras rule :

Length of ramp = 10 feets = hypotenus

Hypotenus² = opposite² - adjacent²

d² = 10² - 3²

d² = 100 - 9

d² = 91

d = √91

d = 9.5393920

d = 9.54 feets

Complete the input-output table:
X 3x²+2

Complete the input-output table:X 3x+2

Answers

Answer:

Here's the completed input-output table for the function f(x) = 3x²+2:

X f(X)

-2 14

-1 5

0 2

1 5

2 14

Step-by-step explanation:

The image on a movie poster was shrunk to make DVD cover art for the movie so that the cover art is a scale image of the poster. The poster is 72 inches wide, and the DVD cover art is 6 inches wide. If the poster is 9 feet, what is diagonal of the DVD cover art

Answers

Answer:

8 inches answer

Step-by-step explanation:

Similar shapes :-

first convert everything to inches  6 feet = 72 inches

5 / 45 = x / 72

1/9 = x / 72

x = 72/9  = 8 inches

What are the minimum and maximum values of x, for which x3 + x2 – 6x ≥ 0? minimum = –3, maximum = 0 minimum = 0, maximum = 2 minimum = –3, no maximum minimum = 2, no maximum Please answer quickly

Answers

Answer: Option C.

Step-by-step explanation:

The given inequality is

\(x^3+x^2-6x\geq 0\)

Taking x common, we get

\(x(x^2+x-6)\geq 0\)

Splitting the middle term, we get

\(x(x^2+3x-2x-6)\geq 0\)

\(x(x(x+3)-2(x+3))\geq 0\)

\(x(x+3)(x-2)\geq 0\)

Related equation is

\(x(x+3)(x-2)=0\)

\(x=-3,0,2\)

These three points divide the number line in 4 parts.

Interval       Sign of \(x(x+3)(x-2)\geq 0\)      Statement

(-∞,-3)              \((-)(-)(-)=(-)\)                           False      

(-3,0)              \((-)(+)(-)=(+)\)                            True  

(0,2)              \((+)(+)(-)=(-)\)                              False      

(2,∞)              \((+)(+)(+)=(+)\)                              True  

So, the solution set is (-3,0) ∪ (2,∞).

Thus, minimum value is –3 and no maximum value.

Therefore, the correct option is C.

Answer:

minimum = –3, no maximum

Step-by-step explanation:

The other guy here was completely correct, but just in case it assures anyone's doubts:

What are the minimum and maximum values of x, for which x3 + x2 6x 0? minimum = 3, maximum = 0 minimum

7. What is the volume of the rectangular prism?
4.8 mm
6.4 mm
14.2 mm

Answers

6.4 i think correct me if I’m wrong

Drag the tiles to the correct boxes to complete the pairs. Match each function to its domain and range.​

Drag the tiles to the correct boxes to complete the pairs. Match each function to its domain and range.

Answers

Matching of the functions domain and range are as follows:

f(x)   = 4-4x ;

Domain:{0,1,3,5,6}

Range;{-20,-16,-8,0,4}

f(x) = 5x - 3

Domain:{-2,-1,0,3,4}

Range:{-13,-8,-3,12,4}

f(x) = -10x

Domain:{-4,-2,0,2,4}

Range:{-40,-20,0,20,40}

f(x) = (3/x) + 1.5

Domain:{-3,-2,-1,2,6}

Range:{0.5,0,-1.5,3,2}.

How to find the domain and range of the functions?

1) The function f(x) = 4 - 4x

Take Domain:{0,1,3,5,6}

If, we take x=0 and put in the function then we get

f(x)=4-0

f(x)=4

put x=1

f(x) = 4 - 4 =0

put x=3 then we get

f(x)=4-12=--8

put x=5 them we get

f(x)=4-20=-16

put x=6 then we get

f(x)=4-24=-20

Therefore ,range:[-20,-16,-8,0,4}

2) The function f(x)=5x-3

Take domain{-2,-1,0,3,4}

Now, put x=-2 in the function then we get

f(x) = -13

now put x=-1 then we get

f(x)=-5-3=-8

Put x=0 then we get

f(x)=0-3=-3

Put x=3 then we get

f(x)=15-3=12

Put x=4 then we get

f(x)=20-3=17

Therefore , range:{-13,-8,-3,12,17}

3) The function f(x)=-10x

Take domain:{-4,-2,0,2,4}

Put x=-4 in the function then we get

f(x)=40

Put x= -2 then we get

f(x)=20

Put x=0 then we get

f(x)=0

Put x=2 then we get

f(x)=-20

Put x=4 then we get

f(x)=-40

Therefore , range :{-40,-20,0,20,40}

4) The function f(x)= (3/x) + 1.5

Take domain:{-3,-2,-1,2,6}

Put x= -3 in the taken function then we get

f(x)=-1+1.5=0.5

put x=-2 then  we get

f(x)= -1.5+1.5=0

Put x=-1 then we get

f(x)=-3+1.5=-1.5

Put x= 2 then we get

f(x)=1.5+1.5=3

Put x= 6 then we get

f(x)=0.5+1.5=2

Therefore, range : {0.5,0,-1.5,3,2}.

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−0.22+�−0.33−0.22x+x−0.33x?

Answers

The answer to the equation −0.22x + x − 0.33x is 0.11x.

The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:

−0.22x + x − 0.33x = −0.22 + 0.33x

We then subtract x from both sides of the equation, resulting in:

−0.22x − x = −0.22 + 0.33x − x

We then combine like terms on the left side of the equation, resulting in:

−1.22x = −0.55

Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:

x = 0.11

Therefore, the answer is 0.11x.

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Complete question

What is the value of -0.22+−0.33−0.22x+x−0.33x?

I need help on. this question. (3x^6)^3 the answer must have one exponent

Answers

Answer:

\(27x^{18}\)

Step-by-step explanation:

\(\left(3x^6\right)^3\)

Separate \(3x^6\):

\(3^3\times\left(x^6\right)^3\)

\(27\times\left(x^6\right)^3\)

\(27x^{6\times3}\)

\(27x^{18}\)

write the equation of the ellipse using the given information: the ellipse has foci (0,3) and (0,-3) and major vertices (0,5) and (0,-5).

Answers

Answer: (x^2)/16 + (y^2)/25 = 1

Step-by-step explanation:

According to the problem we can figure out that the center of the ellipse is (0,0).

Since the foci is (0,3) and (0,-3) we know that the value of c is 3. The major vertices are (0,5) and (0,-5) so the value of a is 5.

If we put this into the equation a^2=b^2 + c^2, we get 25=9+ b^2

We get b^2 is 16

Now since we know that the ellipse is vertical because the x value didn’t change, we know that the b^2 value comes first in the equation. Then the a^2 value which is 25.

Deshaun wants to attend a college that will cost $25,600 for the first year. His uncle gave him a special gift of $2500 to use toward the cost. Deshaun plans to attend the college in 7 years. How much must Deshaun save each month to have enough for the first-year cost?

Answers

Answer:

$275

Step-by-step explanation:

25600-2500=23100 how much is left to pay

7*12=84 months left till college

23100/84=275 he would have to save per month

Find the area and the circumference of a circle with radius 7 m.

Use the value 3.14 for π, and do not round your answers.

Area=?
Circumference=?

Find the area and the circumference of a circle with radius 7 m.Use the value 3.14 for , and do not round

Answers

Answer:

\(Area = 153.938040026m^2\)

\(Circumference= 43.9822971503m\)

Step-by-step explanation:

Area

\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)

Circumference

\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)

Write the equation of the line that is parallel 2 y - 4x = 9 passing through (-2, 1).

Answers

first rewrite the equation

\(\begin{gathered} 2y-4x=9 \\ 2y=9+4x \\ y=\frac{9}{2}+2x \end{gathered}\)

2 parallel equations have the same slope , so the slope is 2

to write the nes equation we must start from the general equation

\(y=mx+b\)

where m is the slope and b the y-intercept

now we can replace the slope and the point (-2,1) to find b

\(\begin{gathered} (1)=(2)(-2)+b \\ 1=-4+b \\ b=1+4 \\ b=5 \end{gathered}\)

then replace b and the slope on th general equation to find the new equation

\(y=2x+5\)

helpppppppppppppppppppppppppppppppppppppp

helpppppppppppppppppppppppppppppppppppppp

Answers

Answer:

the last one

Step-by-step explanation:

there is no rhythm

How many squares are in the 20th case​

Answers

Answer:

400

Step-by-step explanation:

please help me im very behind​

please help me im very behind

Answers

Answer:

the third one should be it

Pls help it’s algebra 1

Pls help its algebra 1

Answers

Answer:

Y+1=-1/2(x-4) the very bottom choice trust me its in point slope form and since the 1 is negative it turns into a positive for the equation and adds to the Y

Step-by-step explanation:

3x = 20

What are the angle measures

3x = 20 What are the angle measures

Answers

Answer:

equation: 3x - 20 = 0

Step-by-step explanation:

3x = 20

add its opposite to both sides.

3x - 20 = 20 - 20

= 3x - 20 = 0

Can someone help me on this

Can someone help me on this

Answers

Answer:

39V3 Sq.units of that will help you

Jerry made his mother a garden. The width is 6
5/7
ft and the length is 7
3/5
ft. What is the area of the garden?

Answers

Answer:

The area of the garden is 51

Step-by-step explanation:

carpet is sold in square yards how much carpet would a person need to buy for a rectangle that has dimensions of 10 yards by 18 feet

Answers

A person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

How to determine the amount of carpet needed for a rectangular room?

To determine the amount of carpet needed for a rectangular room, you need to convert the measurements to the same unit of measurement. Since the carpet is sold in square yards, we need to convert the dimensions of the room to yards.

The length of the room is given in yards, so we don't need to make any conversions for that dimension. However, the width of the room is given in feet, so we need to convert it to yards by dividing by 3 (since there are 3 feet in a yard),

18 feet ÷ 3 feet/yard = 6 yards

So the dimensions of the room in yards are 10 yards by 6 yards.

To find the total area of the room, we need to multiply the length and width,

10 yards × 6 yards = 60 square yards

Therefore, a person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

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A survey of 2,541 American households discovered that 53% of the households have children. What is the population?
a. Americans
b. Children
c. American Households
d. Households with Children

Answers

D i took thos test hope it helps
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