Find the equation of the line of best fit for the scatter plot representing bivariate data.

Find The Equation Of The Line Of Best Fit For The Scatter Plot Representing Bivariate Data.

Answers

Answer 1

The two lines may be similar if the correlation coefficient is high.

To find the equation of the line of best fit for the scatter plot representing bivariate data, we first need to determine the correlation coefficient (r) between the two variables. This value ranges from -1 to 1 and indicates the strength and direction of the relationship between the variables.

Once we have determined the correlation coefficient, we can use it to find the slope (m) of the line of best fit. The slope represents the rate at which one variable changes with respect to the other.

After we have found the slope, we can use it to determine the y-intercept (b) of the line. The y-intercept represents the value of the dependent variable (y) when the independent variable (x) is equal to 0.

Putting all of this information together, the equation of the line of best fit can be written as y = mx + b. This equation can then be used to make predictions about the dependent variable based on the values of the independent variable.

It is important to note that the line of best fit is not necessarily the same as the regression line, which is used to estimate the values of the dependent variable based on the values of the independent variable.

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Related Questions

Write the polynomial in standard (descending) form.
15m3 – 8+ 9m?

Answers

Answer:

\(15m^{3} +9m-8\)

Step-by-step explanation:

Answer:

p(m) = 15m3 + 0m2 + 8m - 8

Step-by-step explanation:

9) Graduation is around the corner! You
decide to throw a party to end all parties.
You want to have both a beef dish and a
chicken dish. The chicken dish costs $5 per
plate and the beef dish costs $7. There will
be 250 people at the party, and the total cost
of the food will be $1500. How chicken
dishes will there be?

Answers

Answer:

the awnser is 10000 b

Step-by-step explanation:

u have to add so much to get the awser

what is the minimum value of 8x3 36x 54 x 27 3 x for positive real numbers x? express your answer in simplest radical form.

Answers

The minimum value of 8x³ + 54x + 27³x + 36x  is  81√6/7.

The minimum value of 8x³ + 36x + 54x + 27³x  for positive real numbers x is 81√6.

We have the expression: 8x³ + 36x + 54x + 27³x

Let's factorize it in the following way : 8x³ + 54x + 27³x + 36x = 8x³ + 3³x(3²x + 2) + 3²(3x²) = 8x³ + 3³x(3²x + 2) + 9(3x²)

Let's consider the AM-GM inequality : a + b ≥ 2√ab, for any real positive numbers a and b.

So, we have :

8x³ + 3³x(3²x + 2) + 9(3x²) = 8x³ + 9(3x²) + 3³x(3²x + 2)≥ 3√[8x³ × 9(3x²) × 3³x(3²x + 2)]

This implies : 8x³ + 9(3x²) + 3³x(3²x + 2) ≥ 18x√[2x]

This is because 8x³ × 9(3x²) × 3³x(3²x + 2)

= 81(2x)³x²(3²x + 2)

= 1458(2x)³x³(3²x + 2)

Thus, 8x³ + 9(3x²) + 3³x(3²x + 2) ≥ 18x√[2x]

The minimum value of 18x√[2x] is when 2x is equal to 1.

This is because when 2x is equal to 1,

we have: 18x√[2x] = 18(1/2)√1 = 9.

Now, 8x³ + 9(3x²) + 3³x(3²x + 2) ≥ 9.

In other words,8x³ + 54x + 27³x + 36x ≥ 9

This implies: 8x³ + 54x + 27³x + 36x + 81³x ≥ 9 + 81³x = 81(1 + 3³x)

The above inequality can be written as: (1 + 3³x)(8x³ + 54x + 27³x + 36x) ≥ 81

Therefore, 8x³ + 54x + 27³x + 36x ≥ 81/(1 + 3³x)

This implies: 8x³ + 54x + 27³x + 36x ≥ 81/28

The above inequality can be written as: 8x³ + 54x + 27³x + 36x ≥ 81√6/14

This implies: 8x³ + 54x + 27³x + 36x ≥ 81√6/7.

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PLEEASEEE HELP WILL MARK BRAINLIEST IF CORRECT

Which table is a probability distribution table?

1. X Blue Orange Green Purple
P 0.3 0.4 0.5 —0.2

2. X Blue Orange Green
Green Purple
P 0.6 0.05 0.05 10.3

3. X Blue Orange Green
Green Purple
P -1 1 1 0

4. X Blue Orange Green Purple
P 0.4 0.4 0.2 10.1

PLEEASEEE HELP WILL MARK BRAINLIEST IF CORRECT Which table is a probability distribution table?1. X Blue

Answers

Answer:

I believe it is C

Step-by-step explanation:

sorry if I'm wrong I'm not sure

Table (2) is a probability distribution table.

What is probability?

Probability is the possibility of happening an event.

Note the probability can never be negative, therefore, discard the tables with negative values.

Hence, table (1) and table (3) cannot be probability distribution tables.

Now, the sum of all probabilities in a probability distribution is always 1.

The sum of probabilities in the table (2) is:

0.6 + 0.05 + 0.05 +0.3

=1.0

And, the sum of probabilities in the table(4) is:

0.4 + 0.4 + 0.2 + 0.1

=1.1

Therefore, table (2) is a probability distribution table.

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Assume that the demand curve D(p) given below is the market
demand for widgets: Q=D(p)=1297−14p Q = D ( p ) = 1297 - 14 p , p
> 0
Let the market supply of widgets be given by: Q=S(p)=−3+6p Q =

Answers

The equilibrium price of widgets in this market is $65 per unit, and the equilibrium quantity is 407 units.

The market demand for widgets is given by the equation Q = 1297 - 14p, where p is the price of widgets and Q is the quantity demanded. The market supply of widgets is given by the equation Q = -3 + 6p, where Q is the quantity supplied.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied:

1297 - 14p = -3 + 6p

Solving for p, we get:

20p = 1300

p = 65

So the equilibrium price of widgets is $65 per unit. To find the equilibrium quantity, we substitute this price into either the demand or supply equation:

Q = 1297 - 14(65) = 407

Therefore, the equilibrium quantity of widgets is 407 units.

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pls help me on this question

pls help me on this question

Answers

1) false

2) false

3) true

4) true

5) true

Answer:

1 false,2 false,3 true,4 true,5 true

evaluating functions f(4)+9

Answers

4f+9 this should be the answer

There are 16 pieces of fruit in a basket, including 2 nectarines. What is the
probability that a randomly selected piece of fruit will be a nectarine? answer it in simplest form

Answers

Answer:

1/8 or 12.5%

Step-by-step explanation:

2/16 are nectarines. If you randomly choose a fruit out of the basket, you have a 2/16 chance of picking out a nectarine, which can be simplified down to 1/8 or 12.5%.

Answer:

there is a 12.5 percent chance

Step-by-step explanation:

first you have to turn 2/16 in to a decimal. this is 0.125

then to turn in it into a percent you move the decimal over two spots to the right

David pays $2.99 for a bag of 13 tangerines.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.


Can you please hurry and help!!

Answers

Answer:

$0.23

Step-by-step explanation:

2.99 / 13 = 0.23

Answer:

$0.23 per tangerine

Step-by-step explanation:

Divide 13 by $2.99...

There are three numbers for the combination to the store's safe. The first number is 17. The next one two numbers can be multiplied together to give a product of 28 . What are all of the possibilities for the other two numbers? Write your answers as multiplication equations, and then write all the possible combinations to the safe.

Answers

Answer:

7*4=2814*2=28factors of 28 are 1,2,4,7,14,28

Step-by-step explanation:

if correct mark brainliest plz

also Merry Christmas

Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. a scatter plot and line of fit were created for the data. scatter plot titled students' data, with points plotted at 1 comma 60, 2 comma 60, 2 comma 70, 2 comma 80, 3 comma 80, 3 comma 90, 4 comma 95, and 4 comma 100, and a line of fit drawn passing through the points 0 comma 40 and 2 comma 70. determine the equation of the line of fit. a. y = 15x + 70 b. y = 15x + 40 c. y = 30x + 70 d. y = 30x + 40

Answers

Answer:

y = 30x + 40

Step-by-step explanation:

Answer:

  b.  y = 15x + 40

Step-by-step explanation:

You want the equation of the line of best fit through the given data.

Regression line

The graphing calculator in the attachment shows the line of best fit to be about y = 13x +45 (red).

The green line shown is what appears to be the nearest answer choice:

  B.  y = 15x +40

<95141404393>

Data was collected on the amount of time that a random sample of 8 students spent studying for a test

Can someone help me with this question

Can someone help me with this question

Answers

Answer:

51°

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

x + 60 + x + 82 + 56 = 180

2x + 198 = 180

2x = -18

x = -9

m<A = x + 60 = -9 + 60 = 51

Answer: 51°

In baseball the lengths of the paths between the bases are 90 feet and form right angles. The catcher throws the ball from home plate to second base. How far did the ball travel?

Answers

The ball traveled approximately 127.28 feet from home plate to second base.

In baseball, the paths between bases form a square with side lengths of 90 feet each. When the catcher throws the ball from home plate to second base, the ball travels along the diagonal of this square.

To find the length of the diagonal, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (the diagonal) is equal to the sum of the squares of the other two side lengths.

In this case, both side lengths are 90 feet, so the equation is:

Diagonal² = 90² + 90²

Diagonal² = 8,100 + 8,100

Diagonal² = 16,200

To find the length of the diagonal, take the square root of 16,200:

Diagonal ≈ 127.28 feet

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five hundred dollars and eighty two cents as a decimal

Answers

Answer:

500.82

Step-by-step explanation:

Answer: 500.82  mhm mhm yup

The area of this composite figure is approximately 289.7mm2. what is the area if dilated by a linear scale factor of 3? Round answer to the nearest tenth

Answers

The area of the dilated figure is approximately 56250.0 mm².

Let's assume that the composite figure is composed of two shapes, Shape A and Shape B. The area of the composite figure is given as 289.7 mm².

Total Area = Area of Shape A + Area of Shape B

Total Area = 100 mm² + 150 mm²

Total Area = 250 mm².

If we dilate this figure by a scale factor of 3, the area of the new figure will be:

New Area = Scale Factor² x Total Area

                 = 3² x 250 mm²

                 = 225 x 250 mm²

                 = 56250 mm²

Rounding to the nearest tenth, the area of the dilated figure is approximately 56250.0 mm².

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a triangle has two sides of length 18 and 3. what is the largest possible whole-number length for the third side?

Answers

Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

a triangle has two sides of length 18 and 3. what is the largest possible whole-number length for the

Does anyone know a math equation that equals 14?

Answers

Answer: Pretty Simple; an easy equation could be 10 + 4 = 14.

Step-by-step explanation:

A more difficult equation might be (10(8) - 70) + 4 = 14

:)

Answer:

7x2=14

8+6=14

7+7=14

5x2.8=14

28/2=14

140/10=14

100-86=14

81(+-)67= 81-67=14

A watercooler contains 160 cups of water. During practice, each person on a team fills a water bottle with 3 1/3 cups of water from the cooler. How many water bottles can a team fill from a single watercooler?

Answers

Answer: Number of water bottles a team can fill  from a single watercooler = 48

Step-by-step explanation:

Given: A watercooler contains 160 cups of water.

Each person on a team fills a water bottle with \(3\dfrac13\) cups of water from the cooler.

Here, \(3\dfrac13=\dfrac{10}{3}\)

Now , Number of water bottles a team can fill  from a single watercooler = \(160\div \dfrac {10}3\)

\(=160\times\dfrac3{10}\\\\=16\times3=48\)

Hence, Number of water bottles a team can fill  from a single watercooler = 48

Number of water bottle IT team can feel a single watercooler =48

In recent years, a certain area of the world has experienced greater shifts in weather patterns. For example, there are many nights during which the temperature gets below freezing, but many days that are very warm. These shifts have made it difficult to grow and harvest crops.

Answers

Answer:

b.

Step-by-step explanation:

Answer:

B. increased resistance to environmental factors

Step-by-step explanation:

a survey reports that 67% of college students prefer to drink more coffee during the exams week. if we randomly select 80 college students and ask each whether they drink more coffee during exams week. what is the probability that at most 60 say that they drink coffee during exam week?

Answers

From that 80 college students, the probability that at most 60 say that they drink coffee during exam week  is 0.3085

This is a binomial distribution problem in which we want to know the probability it is that at least 60 students out of 80 choose to drink coffee during test week.

Here, we have:

n = 80 (number of trials)

p = 0.67 (probability of success in each trial)

q = 1 - p = 0.33 (probability of failure in each trial)

x ≤ 60 (number of successes we want to find the probability for)

This probability may be calculated using the binomial cumulative distribution function (CDF). The binomial CDF formula is as follows:

P(X ≤ k) = Σi=\(0^{K}\) (\(_{n}C^{i} }\)) * \(p^{i}\) * (\((1-p)^{n-i}\)

We can determine the chance of having 60 or fewer successes using this formula:

P(X ≤ 60) = Σi=\(0^{60}\) (\(_{80} C^{i}\)) * \(0.67^{i}\) * \(0.33^{80-i}\)

P(X ≤ 60) = 0.3085

As a result, the probability that at least 60 college students claim they consume coffee during test week is 0.3085, or around 31%. As a result, 0.3085 is the correct answer.

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PLEASE HELP ME PLEASE
Write your own situation that models the equation shown below:
1) y=3(2)^x

2) y=-3x+25

Answers

Answer:

21

Step-by-step explanation:

help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

it's I'd b yes so ya hope you do great

Step-by-step explanation:

The measures of two supplementary angles are 4x° and 2x°. Write and solve an equation to find the measure of each angle.

Equation: ________________________

Answer: _____________________________

Answers

Equation: \( 4x\degree + 2x\degree = 180°\)

Answer:

120°, 60°

Step-by-step explanation:

Since, sum of any two Supplementary angles is always 180°.

\( \therefore 4x\degree + 2x\degree = 180°\\

\therefore 6x\degree = 180°\\

\therefore 6x = 180\\\\

\therefore x = \frac{180}{6}\\\\

\therefore x = 30\\

\implies \\

4x° = (4\times 30)° = 120°\\

\&\\

2x° = (2\times 30)° = 60°\\

\)

Graph the system of equations on the grid below. Y=4x+7 and 2=x-y

Answers

The two lines intersect at (-3,-5) and thus a common solution.

What is the solution to a linear equation?

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here, the system of linear equations as  Y=4x+7 and 2=x-y

On solving these two equations we get that the two lines intersect at (-3,-5) and thus a common solution.

The two equations are plotted in the attachment below.

Hence, The two lines intersect at (-3,-5) and thus a common solution.

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Graph the system of equations on the grid below. Y=4x+7 and 2=x-y

PLSS HELP


Using the above rule, extract the square roots of the given quadratic equation.
(x + 5)2 = 18
x + 6 = IV
x + 6 = 13

PLSS HELPUsing the above rule, extract the square roots of the given quadratic equation.(x + 5)2 = 18x

Answers

Step-by-step explanation:

\( \sqrt{(x + 6) ^{2} } = \sqrt{18} \\ x + 6 = + - \sqrt{18} \\ x + 6 = + - \sqrt[3]{2} \)

I need to know the graph points and how to graph it ASAP

I need to know the graph points and how to graph it ASAP

Answers

Answer: for the first one it's the first picture and the second equation is the second picture

Step-by-step explanation: the pictures

the first one's coordinates are : (-0.4, -1)

the second one's coordinates are: (2,-6)

they are both dotted lines

I need to know the graph points and how to graph it ASAP
I need to know the graph points and how to graph it ASAP

?????????????????????????

?????????????????????????

Answers

Answer:

B is correct. The lines are perpendicular because their slopes are opposite reciprocals (-4 and 1/4 here).

Answer:

I'm pretty sure the anwser is B

Step-by-step explanation:

Nora loves chocolate. She was given 25 chocolate chips by her parents. She gave 5 to her sister and 10 to her brother. How many did chocolate chips did she have left?

Answers

Answer:

10

Step-by-step explanation:

Answer:

The answer is 10.

Step-by-step explanation:

25 - 5 = 20

20 - 10 = 10.

Choose all the expressions that have
2
3
2
3
as a product

Answers

Hence by the above simplification of given fractions A and E are correct expressions for 2/3.

There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions. We categorize its types based on these two terms.

The terminology used to identify the components of a whole object are fractions. For instance, if a pizza is cut into four pieces, each piece is equal to one-fourth of the pizza. Here, the numerator is 1, and the denominator is 4.

Proper fraction

Improper fraction

Mixed fraction

Like fractions

Unlike fractions

Equivalent fractions

Let us simplify  the expressions one after the other to identify the ones with a product of 2/3

\(A) \frac{4}{5}*\frac{5}{6}=\frac{2}{3}\\\\B) \frac{7}{8}*\frac{9}{10}=\frac{63}{80}\\\\c) \frac{1}{3}*\frac{2}{3}=\frac{2}{9}\\\\\\d) \frac{3}{4}*\frac{7}{12}=\frac{7}{16}\\\\\\E) \frac{6}{7}*\frac{7}{9}=\frac{2}{3}\\\)

Hence by the above simplification A and E are a correct expressions for 2/3.

The complete question is-

Choose all the expressions that have 2/3 as a product,

A  4/5 * 5/6

B  7/8 *9/10

C  1/3 *9/10

D  3/4 *7/12

E  6/7*7/9.

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PLEASE HELP QUICK

If a polygon is a quadrilateral, then it is a square.


1. Identify the hypothesis of the conditional statement.




2. Identify the conclusion of the conditional statement.





3. Is the conditional statement true? If it is false, provide a counterexample.





4. What is the inverse of the conditional statement.





5. What is the converse of the conditional statement.





6. Write the biconditional statement. If a biconditional statement cannot be written, explain why it can’t be. (1 point)

Answers

Answer:

A conditional statement is something like:

If P, then Q.

P = hypothesis.

Q = conclusion.

In this case, we have:

"If a polygon is a quadrilateral, then it is a square".

1) The hypothesis is: a polygon is a quadrilateral

2) The conclusion is:  it is a square

3) It is not true, because there are other quadrilaterals that are not squares, for example, the rectangles.

4) The inverse of a conditional statement is (using the same notation than above)

If not P, then not Q.

In this case is:

"If a polygon is not a quadrilateral, then it is not a square"

(this is true)

5) A converse statement is:

If Q, then P

In this case is:

"if it is a square, then the polygon is a quadrilateral"

(Also true)

6) A biconditional statement is written as:

P if and only if Q.

In this case is:

A polygon is a quadrilateral if and only if it is a square.

(This is false)

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