which line is the best model for the data in the scatter plot? responses
Answers
To determine the best model for the data in a scatter plot, we need to look at the general trend of the data points.
There are different types of models that can be used to represent the relationship between two variables, such as linear, quadratic, exponential, and logarithmic models.
One way to do this is to calculate the correlation coefficient, which measures the strength and direction of the linear relationship between two variables.
The correlation coefficient ranges from -1 to 1, with values closer to -1 or 1 indicating a stronger relationship and values closer to 0 indicating a weaker relationship.
A correlation coefficient of 0 means that there is no linear relationship between the variables. If the data in a scatter plot shows a strong linear relationship, then a linear model is likely to be the best model.
To find the equation of the line that best fits the data, we can use linear regression.
Linear regression is a statistical method that finds the line of best fit that minimizes the distance between the observed data points and the predicted values of the model.
In summary, to determine the best model for the data in a scatter plot, we need to analyze the general trend of the data points and consider different types of models that can represent the relationship between the variables.
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Related Questions
Help help me in this please
Answers
Answer:
ok dont panic all you have to do is if your looking for speed you will divide d distance over time and if your looking for distance speed over time and for time total distance over speed
Step-by-step explanation:
so all you have to do is find out what your looking for.
Which value is equivalent to x+4/4+x?
O-4
O-1
O 1
O4
Answers
The correct option for the given radical equation is option C. The value after operation is equal to 1.
Given radical expression:
\(\frac{x+4}{4+x}\)
Now, we know that the addition is commutative.
Using commutative property, 4+x = x+4,
So,
\(\frac{x+4}{x+4}\)
Both numerator and denominator has same value, hence they could be cancelled.
\(\frac{x+4}{4+x}\) = \(\frac{x+4}{x+4}\)
\(\frac{x+4}{x+4}\) = 1.
Therefore, the value which is equivalent to x+4/4+x is equal to 1.
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Adamhadthechickenpoxandhadtostayinside even though he didn’t feel very bad at all. he decided to make a cake to surprise his mother. the recipe said he needed 4 deciliters of milk. how many liters of milk did he need?
Answers
Answer:
400 milliliters
Step-by-step explanation:
multiply 4 x 100
=400
Which test statistic should be used when computing a confidence interval given only the number in a sample, the sample mean and sample standard deviation?.
Answers
The answer is z test.
What is z test?
If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.
Here the data is normally distributed and using the sample mean.
Hence we should use z test when computing a confidence interval
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Directions: Determine whether each statement is always, sometimes, or never true.Name the theorem that will support your answer. Write your answers on the spaceprovidedStatementAnswerReason1. A line and a point are coplanar.2. Congruent angles form vertical angles.3. Linear pair that are congruent are rightangles.4. The sum of angles that formed linear pairis less than 180'.5. Vertical angles are complementary.
Answers
The given statement is 1. Always true
2. Always true
3. Always true
4. Sometimes true
5. Never true
Statement 1: A line and a point are always coplanar.
Answer: Always true.
Reason: This statement is always true because a line and a point can always be found on the same plane. In Euclidean geometry, a plane is a flat surface that extends infinitely in all directions, and any two points on the plane can be connected by a straight line. Therefore, a line and a point will always lie on the same plane.
Statement 2: Congruent angles form vertical angles.
Answer: Always true.
Reason: Vertical angles are formed by the intersection of two lines. When two angles are congruent, it means they have the same measure. If two angles have the same measure and are formed by the intersection of two lines, then they are vertical angles. Therefore, congruent angles always form vertical angles.
Statement 3: Linear pairs that are congruent are right angles.
Answer: Always true.
Reason: A linear pair consists of two adjacent angles that share a common side and form a straight line. If the two angles of a linear pair are congruent, it means they have the same measure. In Euclidean geometry, a straight angle measures 180 degrees. If two angles in a linear pair are congruent and their measures add up to 180 degrees, then each angle must measure 90 degrees, which is the measure of a right angle. Therefore, linear pairs that are congruent are always right angles.
Statement 4: The sum of angles that form a linear pair is less than 180 degrees.
Answer: Sometimes true.
Reason: The sum of angles that form a linear pair is always equal to 180 degrees, not less than 180 degrees. This is based on the definition of a linear pair, which states that the two angles in a linear pair are supplementary, meaning their measures add up to 180 degrees. However, if the statement said "less than or equal to 180 degrees," then it would be always true.
Statement 5: Vertical angles are complementary.
Answer: Never true.
Reason: Vertical angles are not complementary. Complementary angles are two angles that add up to 90 degrees. Vertical angles, on the other hand, are a pair of non-adjacent angles formed by the intersection of two lines. They do not necessarily have any specific relationship to each other in terms of their angle measures. Therefore, vertical angles are not complementary by definition.
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The truth of each statement depends on the properties of angles and theorems that support them. A line and a point are always coplanar, congruent angles can sometimes form vertical angles, congruent linear pairs are not always right angles, the sum of angles that form a linear pair is always 180 degrees, and vertical angles are never complementary.
To determine the truth of each statement, we need to consider the properties of angles and theorems that support them.
Statement 1: A line and a point are coplanar.Answer: Always true.
The statement is always true because a line and a point lie in the same plane. This is supported by the Coplanar Points Theorem.Statement 2: congruent angles form vertical angles.
Answer: Sometimes true.
Congruent angles can form vertical angles, but it is not always the case. Vertical angles are formed by two intersecting lines, and they are always congruent. However, congruent angles can also be formed by other angle relationships, such as corresponding angles or alternate interior angles.Statement 3: linear pairs that are congruent are right angles.
Answer: Sometimes true.
Linear pairs are adjacent angles formed by two intersecting lines. While congruent linear pairs are always supplementary (their sum is 180 degrees), they are not always right angles. Right angles are a specific type of angle measuring 90 degrees.Statement 4: The sum of angles that form a linear pair is less than 180 degrees.
Answer: Never true.
The sum of angles that form a linear pair is always 180 degrees. This is supported by the Linear Pair Theorem, which states that if two angles form a linear pair, then their measures add up to 180 degrees.Statement 5: Vertical angles are complementary.
Answer: Never true.
Vertical angles are always congruent, but they are not always complementary. complementary angles are pairs of angles that add up to 90 degrees.Learn more:
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Question 4 (4 points)
(04.05)
Which section of the function is constant? (4 points)
oa
A
ОБ
B
OC
Oo
D
Answers
Answer:
Section of the function which is constant is C
Step-by-step explanation:
Any line parallel to x-axis has a slope of zero and in this figure we can see that the section C only is parallel to x-axis and since it parallel to the x-axis it has a slope of zero hence the function at C is neither increasing because it doesn't have a positive slope nor is it decreasing because it doesn't have a negative slope so it remains constant.
Please help with this math problem!!! Will give brainliest!!! :)
A cylindrical grain silo has just been built. The diameter of the silo is 15 feet and the height is 25 feet. How many cubic feet of grain can the silo hold? Round to 2 decimal places.
Answers
Step-by-step explanation:
Use the formula for the volume of a cylinder
volume = pi r^2 h diameter = 15 ft so r, radius = 7.5 feet h = 25 ft
volume = pi * ( 7.5)^2 * 25 = 4417.86 ft^3
HELP PLEASE IM BEGGING PLEASEEE I NEED IT NOWWW
Answers
cylindrical-shaped aquarium is to be filled with water for the newly bought salt water fishes. How much salt water is needed if the aquarium has a 2 ft radius of its base and a height of 3 ft?
Volume = πr²h
V = (3.14) (2)² (3)
V = (3.14) (4) (3)
V = 37.68 ft³
37.68 ft³ of salt water is needed to fill the cylindrical aquarium.
Mr. Lee is buying a spherical water tank for his tomato plantation. How much water could be stored if the water tank has a radius of 2 meters?
Volume = (4/3) πr³
V = (4/3) (3.14) (2)³
V = (4/3) (3.14) (8)
V = (4/3) (25.12)
V = 33.493 m³
Mr. Lee can store 33.493 m³ of water in the spherical tank.
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Which of the following numbers are rational? Select three that apply.\( \sqrt{2} \)\( \sqrt{4} \)\( \frac{1 }{3} \)\( - 5\)
![Which of the following numbers are rational? Select three that apply.[tex] \sqrt{2} [/tex][tex] \sqrt{4}](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/DEb1rPpS0iKIoIg4nwVVaX6hEyqHLGnQ.png)
Answers
Rational numbers can be represented in this form x/y. Rational numbers are not repetitive when express in decimal form .
Base on the definition the rational numbers in the optiona are as follows
\(\begin{gathered} D\text{. }\sqrt[]{64}=8 \\ E\text{.}\frac{72}{8}=9 \end{gathered}\)The answer is D and E.
.
A scale drawing has a scale of 3in:1ft. What is the scale factor?
Answers
Answer:
1 : 4
Step-by-step explanation:
Remember, your units have to match, so
3 in : 1 ft
doesn't look right, change 1 ft to 12 in.
3 in : 12 in
reduce by 3
1 : 4
In a lottery daily game, a player picks three numbers from 0 to 9. How many different choices does the player have if the order doesn't matter?
Answers
For the given lottery daily game, total number of choices player have to pick for three numbers from 0 to 9 where order does not matter is equal to 120.
As given in the question,
Total number have to pick by a player in a lottery daily game is equal to 3
Numbers from which player have to pick the three numbers is 0 to 9
Total numbers from which player have to pick the three numbers = 10
Given condition : Order of the number does not matter
Total number of choices to pick three numbers from 0 to 9
= ¹⁰C₃
= ( 10! ) / ( 10 - 3 )! (3!)
= 10! / 7! 3!
= ( 10 × 9 × 8 × 7! ) / ( 7!) ( 3 × 2 × 1 )
= 10 × 3 × 4
=120 choices
Therefore, for the given lottery daily game, total number of choices player have to pick for three numbers from 0 to 9 where order does not matter is equal to 120.
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Briana Ralph is married and claims 2 allowances. Her gross weekly salary is $450. Each week she pays federal, Social Security, and Medicare taxes, $21.20
for medical insurance, and $5.00 for the credit union. What is her net pay?
Answers
Answer:
423.8
Step-by-step explanation:
you have to add the taxes and insurance together then subtract it by the gross salary and then you get your answer brainly please
The fotal nuniber of acres of genetically moafed erops grewn worlswide from 1997 to 2003 was changing at the eate given belaw in milien acres/year f(t)=2.445t−16.05t+43.11(0.5%6) vikir anawer to the fiearest whole mumber ) X millen scree The total nimber of acres of genetically modifed crops grown worldwide from 1997 to 2003 was chang ng at the rate given be ow in mision acresifyear: R (t)=2.445t−16.06t+43.11{0≤t≤6) The tocal numbee of acres of such crops grown in 1997(t=0) was 24.8 milish acres. How many acres of genetically madified crops nere grown worldwide in 2003 ? (Round viour answer to the nearest whole numbec) X. milicn acres :
Answers
The total number of acres of genetically modified crops grown worldwide from 1997 to 2003 can be estimated using the rate of change function R(t) = 2.445t - 16.06t^2 + 43.11, where t represents the number of years since 1997.
To find the number of acres of genetically modified crops grown in 2003 (t=6), we can substitute t=6 into the rate of change function R(t) and add it to the initial number of acres in 1997 (t=0).
R(6) = 2.445(6) - 16.06(6)^2 + 43.11
= 14.67 - 579.36 + 43.11
= -521.58
Since the number of acres cannot be negative, we disregard the negative value and take the absolute value of -521.58.
The number of acres of genetically modified crops grown worldwide in 2003 is approximately 522 million acres.
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pls help asap if you can!!!
Answers
The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent
How to determine the statementTo determine the correct statement, we need to know the properties of a parallelogram.
These properties includes;
Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.Learn more about parallelogram at: https://brainly.com/question/10744696
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Simplify the expression: (− 2/3 pq^4)^2·(−27p^5q)
Answers
Answer:
-12p^7q^9
Step-by-step explanation:
(-2/3Pq^4)^2×(-27P^5q)
= ((-2)^2)/3^2 × P^2 q^4-2 × (-27qp^5)
= ((-2)^2)/3^2 × 27p^7q9
= (((-2)^2 x 27p^7q9)/3^2
= -((4×27p^7q^9)/9)
= -(108p^7q^9)/9
= -12p^7q^9
1-What is 30% of 45?
2-What is 5%of 55.2
Answers
Answer:
13.5 and 2.76
Step-by-step explanation:
someone pls help me I turn this in today the answer is there I just need to show work pls help me
Answers
Hello and Good Morning/Afternoon
Let's tale this problem step-by-step:
What does the problem want:
\(\hookrightarrow \text{the unemployment compensation}\)
Employment compensation =55% of the average of the last 26-week salary
\(\hookrightarrow \text{Average of Natalia's salary} = (\text{all the salaries added up}) / (\text{number of weeks})\\\hookrightarrow \text{Average of Natalia's salary} = 18940 / 26 = 728.46 \text{ (Rounded down)}\)
⇒ 55% of that average
\(\hookrightarrow \frac{55}{100} *728.46 = 400.65\)
Answer: $400.65
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Factorise 3b + 18
i dont get it :|
Answers
Answer:3(b+6)
Step-by-step explanation:
The factorization of the expression is 3(b+6).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is 3b + 18. The factorization of the expression will be done as,
E = 3b + 18
Take 4 as common from the above expression.
E = 3b + 18
E = 3(b+6).
Therefore, the factorization of the expression is 3(b+6).
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How do you factor this trinomial??
3x^2 - 5x - 28
Answers
Answer:
(3x+7)(x−4)
Step-by-step explanation:
Guys, I’m back from nearly a year later went on hiatus on The Brainly because of myself as an anxiety and a very stressful year with A.D.H.D., and I really need help from my own schoolwork from my own school about, “A Perimeter Of The Composite Figures” with only 2 more perimeter questions left to go as soon as possible before it’s too late, please! :O
Please read it as soon as possible before answering to 2 of my own perimeter questions and thank you guys. :)
There’s only 55 points for you to answer to my own 2 of my own perimeter questions, guys! :D
Well good luck, guys! :D
Answers
Answer:
2. 26.2 m
3. 117.2 cm
Step-by-step explanation:
You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.
2. Semicircular archThe circumference of a circle is given by ...
C = πd . . . . . where d is the diameter
The length of the semicircle of diameter 12.6 m will be ...
1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m
The two lighted sides of the rectangle have a total length of ...
3.2 m + 3.2 m = 6.4 m
The length of the light string is the sum of these values:
19.8 m + 6.4 m = 26.2 m
The length of the string of lights is about 26.2 meters.
3. Fan shapeThe perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.
Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:
C = 2πr
C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm
The four straight sides total ...
4 × 11.4 cm = 45.6 cm
The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:
71.6 cm + 45.6 cm = 117.2 cm
The design has a perimeter of about 117.2 cm.
__
Additional comment
The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.
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mike discovered that the pool in his backyard is leaking slowly. the pool holds 15,478 gallons of water, and is leaking at a rate of 11 gallons per day. if mike does not replace the water that has leaked from the pool, how many gallons of water will remain in the pool after 91 days?
Answers
The pool will have 14, 477 gallons of water.
The amount of water that has leaked in 91 days = rate of leakage × number of days
Keep the values in formula
The amount of water that has leaked in 91 days = 11 × 91
Performing multiplication
The amount of water that has leaked in 91 days = 1001 gallons
Amount of water remaining after 91 days = total amount of water - the amount of water that has leaked in 91 days
Amount of water remaining after 91 days = 15,478 - 1001
Performing subtraction
Amount of water remaining after 91 days = 14, 477 gallons
Hence, after 91 days there will be 14, 477 gallons of water in the pool.
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if u subtract 17 from my number and multiply the difference by -5 the result is -25 what is the number
Answers
(X-17)-5=-25
Divide by -5
X-17= 5
Add 17 to both sides
X=22
Answer:
the number is 22
Step-by-step explanation:
let the number be x
-5(x-17) = -25
-5x + 85 = - 25
-5x = - 25 - 85
-5x = - 110
x = - 110 ÷ - 5
x = 22
Check answer
- 5 × ( 22) + 85
- 110 + 85
- 25
Find the values of X and Y using the PARALLELOGRAM.
Answers
Answer:
x = 11
y = 3
Step-by-step explanation:
In a parallelogram opposite sides are equal.
8x = 88
x = 88/8
x = 11
4y - 7 = y + 2
4y = y + 2 + 7
4y = y + 9
4y - y = 9
3y = 9
y = 9/3
y = 3
Two functions f and g are defined on the set R of real numbers by f(x) = 2x - 1 and g(x) =x² + 1. Find the value of \(f^{-1}\)og (3)
Answers
Answer:
\(\frac{11}{2}\)
Step-by-step explanation:
To obtain the inverse of f(x)
let y = f(x) and rearrange making x the subject, that is
y = 2x - 1 ( add 1 to both sides )
y + 1 = 2x ( divide both sides by 2 )
\(\frac{y+1}{2}\) = x
Change y back into terms of x with x = \(f^{-1}\)(x) , thus
\(f^{-1}\)(x) = \(\frac{x+1}{2}\)
Evaluate g(3) and substitute the value obtained into \(f^{-1}\)(x)
g(3) = 3² + 1 = 9 + 1 = 10, then
\(f^{-1}\) (10) = \(\frac{10+1}{2}\) = \(\frac{11}{2}\)
what is the answer to −7x>10 simplified?
Answers
Answer:
x>-10/7 or ≈ -1.4285714285714285714285714285714
Step-by-step explanation:
transfer the -7 coefficient over to the right
Hey there!
-7x > 10
DIVIDE -7 to BOTH SIDES
-7x/-7 > 10/-7
CANCEL out; -7/-7 because it give you 1
KEEP: 10/-7 because it give you the x value
NEW EQUATION: x = 10/-7
SIMPLIFY IT!
x = - 10/7 OR x = -1 3/7
⇡ EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE EQUIVALENT TO EACH OTHER! ⇡
It is an OPEN circle shaded to the left starting between -1 & -2. (Little over -1)
Therefore, your answer is:
x = - 10/7 OR x = -1 3/7
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The solutions to a quadratic equation are x=4 and x=3/5. What is the original equation?
Answers
Fill in the blank to complete the equation below__ + 81 = 9(7+9)
Answers
Answer:
63
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is 63, first do 7+9, which is 16. 9x16=144. 144-81=63, which is why i believe the answer is 63.
( Cosec A - Cot A )^2=1- cos A/1+cos A
Answers
\(( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2=\cfrac{1-\cos(\theta )}{1+\cos(\theta )} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2\implies \csc^2(\theta )-2\csc(\theta )\cot(\theta )+\cot^2(\theta ) \\\\\\ \cfrac{1^2}{\sin^2(\theta )}-2\cdot \cfrac{1}{\sin(\theta )}\cdot \cfrac{\cos(\theta )}{\sin(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\implies \cfrac{1}{\sin^2(\theta )}-\cfrac{2\cos(\theta )}{\sin^2(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\)
\(\cfrac{\cos^2(\theta )-2\cos(\theta )+1}{\sin^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{\sin^2(\theta )} \\\\\\ \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{1-\cos^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1]}\)
\(\cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1^2]}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos(\theta )-1][\cos(\theta )+1]} \\\\\\ \cfrac{\cos(\theta )-1}{-[\cos(\theta )+1]}\implies \cfrac{-[\cos(\theta )-1]}{\cos(\theta )+1}\implies \cfrac{1-\cos(\theta )}{1+\cos(\theta )}\)
A line passes through the point (10, 1) and (-8, 5). What is the slope of a line that is parallel to that line?
Answers
(5-1)/(-8-10) = 2/-9
So the equation of the line would be
Y = -2/9 - 9/20
A line running parallel to this would be any like with a slope of -2/9 but a different Y intercept
For example:
y = -2/9 + 1 would be parallel
what theorem can be used to find segment lengths in a triangle with a segment drawn parallel to a side of the triangle?
Answers
The midsegment linking the cartesian coordinates of two of a triangle's sides is parallel to the fourth aspect of the triangle, and its length is half that of the third side, according to the midsegment theorem.
Whence came the triangle?The assertions that the Greek mathematician Pythagoras discovered the properties of right-angled triangles in the fifth century BC just did not match up, according to many. Some people think following commentary shows it was a joint effort among his disciples, the Pythagoreans.
Which four primary triangles are there?Equilateral: equal angles and all three sides. Acute isosceles: two identical sides and angles, both of which are only about 90 degrees. Acute scalene has irregular sides and angles, all of which are under 90 degrees. Obtuse isosceles: two identical sides and angles, one of which is more than 90 degrees.
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