The portion of the variance in y that is not explained by the regression model is measured by the variance option known as SSE.
What is a variance?The statistical term variance is defined as the dispersion or spread of a set of data points around the mean.
Variance is the difference between each number in the set and the mean, then squared and summed up. The results of this calculation are divided by the number of data points minus one. The formula for variance can be represented as:
\($\sigma^2 =\frac{\sum (x - \bar{x})^2}{N-1}$$\)
Where\($$\sigma^2= Variance$$\)
\($x = Each\ individual\ data\ point$$$ \bar{x} = The\ mean \value \ of \ the \ set \ of \ data \ points$$\\$N = The \ number \ of \ data \ points$$\)
Types of varianceThere are three types of variance:
Population varianceSample variancePopulation variancePopulation variance is a statistical term used to describe the average spread of values in an entire population of data points. It is typically denoted by the Greek letter sigma (σ) squared. Since it is almost impossible to gather all the data points in the population, population variance is usually estimated from a random sample of data.
Sample variance, on the other hand, is used to estimate population variance based on a random sample of data points. It is the average of the squared differences from the mean. This type of variance is denoted by the letter s squared, and it is a close estimate of the population variance.
Hence, option 3 is the correct answer.
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I suck at these and I need help here’s the question
You buy ten pizzas and pay with $100 how much change do you receive it the pizzas cost three for $25.50
Answer:
Step-by-step explanation:
3 vegetarian pizzas cost 25.50. First we must find the cost of one vegetarian pizza.
25.5/3 = 8.5.
Each pizza costs $8.50. She bought 10 of them.
Now, we must multiply $8.50 by 10.
8.5x10 = 85.
$85 for all of the pizza.
Finally, subtract 85 from 100.
100-85=15.
You will receive $15 in change.
Answer:
Should be $15 change
Step-by-step explanation:
Since 3 pizzas cost 25.50 you times that by 3. Divide the 25.50 by 3 and add them two together. Take away that from the 100
what is 5000 + 4000100000
Answer:
4000105000
Step-by-step explanation:
your welcome :)
5 chocolate bars cost £3.80
How much do 7 chocolate bars cost?
Step-by-step explanation:
divide 5 by 3.80 and then the multiply the answer by 7
Answer:
7 chocolate bars=£5.32
Step-by-step explanation:
3.80÷5=0.76(one chocolate bar)
0.76×7=5.32(7 bars)
What is an algebraic rule for the table shown below?
Answer:
Step-by-step
wow you really thought I was.
10 is at most the quotient of 5 and a number n? What the number form
Trapezoid
P
Q
R
S
is rotated counterclockwise
90
°
about the origin to create trapezoid
A
B
C
D
Which side in the new trapezoid is parallel to side
P
S
of the original trapezoid?
The new trapezoid is parallel to the side PS of the original trapezoid will be AD.
What is a transformation of a shape?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.
From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.
Trapezoid PQRS is rotated counterclockwise 90° about the origin to create trapezoid ABCD.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
The new trapezoid is parallel to the side PS of the original trapezoid will be AD.
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We are given a stick that extends from 0 to x. Its length, x, is the realization of an exponential random variable X, with mean 1. We break that stick at a point Y that is uniformly distributed over the interval [0, x]. 1. Write down the (fully specified) joint PDF fx.x (x, y) of X and Y. For 0 < y
The joint PDF of X and Y is fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.
The joint probability density function (PDF) of X and Y can be obtained by multiplying the individual PDFs of X and Y, as they are independent random variables.
Given:
X ~ Exponential(λ), with mean 1 (λ = 1)
Y ~ Uniform(0, X), for 0 < y < x
To find the joint PDF, we first need to express the PDFs of X and Y.
PDF of X:
fX(x) = λ * exp(-λx) for x > 0 (Exponential distribution with parameter λ)
PDF of Y:
fY(y|x) = 1 / x for 0 < y < x (Uniform distribution on interval [0, x])
Now, we can find the joint PDF by multiplying these individual PDFs:
fx.x (x, y) = fX(x) * fY(y|x)
Substituting the PDFs:
fx.x (x, y) = (λ * exp(-λx)) * (1 / x)
fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x
Therefore, the fully specified joint PDF of X and Y is:
fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.
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11. Engineering The maximum load for a certain elevator is 2000 pounds. The total
weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs
243 pounds enters the elevator with a crate of weight w. Write, solve, and graph an
inequality to show the values of w that will not exceed the weight limit of the elevator.
The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.An inequality is a mathematical relationship between two expressions and is represented using one of the following -≤ : less than or equal to
≥ : greater than or equal to
< : less than
> : greater than
≠ : not equal to
Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].
We can write the inequality as follows -1400 + 243 + w ≤ 2000
w + 1643 ≤ 2000
Solving the inequality, we get -w + 1643 ≤ 2000
w ≤ 2000 - 1643
w ≤ 357
Refer to the graph attached.Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
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f(x) = logx xlogx 5 is ω(logx). true false
Since the limit of F(x) is infinity, we can conclude that F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. Therefore, F(x) = logx xlogx 5 is not ω(logx).
What is function?A function is a relation between sets that assigns to each element of a first set, exactly one element of the second set. Functions are typically written as an equation, with the first set (the domain) on the left side and the second set (the range) on the right side. The most common type of function is a function from real numbers to real numbers, which is often referred to as a real-valued function. Examples of real-valued functions include linear, polynomial, exponential, and trigonometric functions.
False. F(x) = logx xlogx 5 is not ω(logx). ω(logx) is a notation used to denote a function that grows faster than logx as x approaches infinity. However, F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. To prove this, we can calculate the limit of F(x) as x approaches infinity:
lim F(x) = lim (logx xlogx 5)
= lim (logx xlogx) lim 5
= ∞∞ 5
= ∞
Since the limit of F(x) is infinity, we can conclude that F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. Therefore, F(x) = logx xlogx 5 is not ω(logx).
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How do you find the measure of an angle in a triangle isosceles?
To find the measure of an angle in a triangle that is isosceles, you can use the fact that the two equal sides of the triangle are congruent to each other. The measure of each of these angles can be found by subtracting the measure of the third angle from 180 degrees.
Determine which two sides of the triangle are equal in length (these are called the "congruent sides").
Find the measure of the angle opposite one of the congruent sides. This angle is called the "base angle."
Subtract the measure of the base angle from 180 degrees. This will give you the measure of the other two angles in the triangle (since the three angles in any triangle must add up to 180 degrees).
For example, if the measure of the base angle is x degrees, then the measure of the other two angles would be (180-x) degrees.
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The measure of angles in an isosceles triangle can be found using the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.
To find the measure of an angle in a triangle isosceles, you can use the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.
Let's look at an example. Suppose you have an isosceles triangle and you know that two of its angles measure 50 degrees and 60 degrees. To find the measure of the third angle, you would subtract 110 (the sum of the two known angles) from 180. This gives you 70 degrees as the measure of the third angle.
In addition to the Triangle Angle Sum Theorem, you can also use the Isosceles Triangle Theorem to find the measure of an angle in an isosceles triangle. The Isosceles Triangle Theorem states that the angles opposite the two equal sides of an isosceles triangle are equal. This means that if you know one of the angles in the triangle, you can determine the measure of the other two angles, since they will both be equal to the measure of the known angle.
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What’s the solution to 2x-2y=6 and 4x+4y=28
Answer
x=5 y=2
Step-by-step explanation:
find the upward unit normal to the surface 7cos()=10−13 at (9,,0).
The upward unit normal to the surface 7cosθ = 10−13 at (9, θ, 0) is (-7√3/13, 0, 2√3/13).
To find the upward unit normal to the given surface, we need to determine the gradient vector of the surface at the specified point. The gradient vector represents the direction of the steepest ascent on the surface.
First, we rewrite the equation of the surface as cosθ = (10−13)/7. Taking the derivative of both sides with respect to θ, we get -sinθ = 0. Rearranging, we have sinθ = 0, which implies θ = 0 or π.
Since we are interested in the point (9, θ, 0), we consider the case when θ = 0. Plugging this value into the equation, we have cos(0) = (10−13)/7, which simplifies to cos(0) = -3/7.
The gradient vector at the point (9, 0, 0) is (-7√3/13, 0, 2√3/13). This vector represents the direction of the upward unit normal to the surface at that point.
Therefore, the upward unit normal to the surface 7cosθ = 10−13 at (9, θ, 0) is (-7√3/13, 0, 2√3/13).
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Change from rectangular to cylindrical coordinates. (Let r ≥ 0 and 0 ≤ θ ≤ 2π.)
(a) (−7, 7, 7)
(√98, 7π /4,7) Incorrect:
(b) (−7, 7 3 , 1)
(14, π /3,1) Incorrect:
The cylindrical coordinates of (−7, 7, 7) are (√98, -π/4, 7). cylindrical coordinate (−7, 7 3 , 1) is (14, -π/3, 1).
We must switch from rectangular to cylindrical coordinates in the provided problem. (let r ≥ 0 and 0 ≤ θ ≤ 2π.)
A)(−7, 7, 7)
Given rectangular coordinates(x, y, z) =(−7, 7, 7)
The cylindrical coordinates are (r, θ, z)
As a result, we determine each value of r and θ separately.
r = √x²+y²
r = √(-7)²+(7)²
r = √49+49
r = √98
θ = tan⁻¹ (y/x)
θ =tan⁻¹ (7/-7)
θ =tan⁻¹ (-1)
θ = -π/4
So cylindrical coordinate = (r, θ, z) = (√98, -π/4, 7)
B) (-7,7√3,1)
Given rectangular coordinates(x, y, z) = (-1,1,1)
The cylindrical coordinates are (r, θ, z)
As a result, we determine each value of r and θ separately.
r = √x²+y²
r = √(-7)²(7√3)²
r = √49+147
r = √196
r = 14
θ = (y/x)
θ = (7√3/-7)
θ = (-√3)
θ = -π/3
So cylindrical coordinate = (r, θ, z) = (14, -π/3, 1)
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Use the confidence level and sample data to find the margin of error E.
weights of eggs: 95onfidence; n = 53, x = 1.71 oz,ȱηȱ= 0.48 oz
The margin of error, denoted as E, can be calculated using the formula E = z * (σ/√n), where z is the z-score corresponding to the desired confidence level.
σ is the population standard deviation (or the sample standard deviation if the population standard deviation is unknown), and n is the sample size.
In this case, the sample data includes n = 53, x = 1.71 oz (sample mean), and σ = 0.48 oz (sample standard deviation). However, the confidence level is not provided, so we cannot determine the specific value of the z-score.
To find the margin of error E, we need to determine the desired confidence level. The most common confidence levels are 90%, 95%, and 99%. Once the confidence level is specified, we can find the corresponding z-score from the standard normal distribution table.
With the z-score and the given values, we can calculate the margin of error using the formula mentioned above.
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Evaluate the function y = 20 + 5m when m = 13.
Your answer is:
y = 85
Hope this helped! -Perplxxd
Which decimal is equivalent to \dfrac{4}{3}
3
4
start fraction, 4, divided by, 3, end fraction?
Choose 1 answer:
there are 32 student in a class 7 sun I'f the ratio of boys and girls is 5:3 find the number of boys and girla
Answer:
there are 20 boys and 12 girls
4) A line with a slope of 8 passes through the point (1, 6). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest
form.
y = _ X-_
the equation for the line will be y = 8x-2.
What is equation straight line?
Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
A line with a slope of 8 passes through the point (1, 6).
So the equation of the line will be
(y-6) = m (x-1)
(y-6) = 8 (x-1)
y-6 = 8x-8
y = 8x-2
Hence the equation for the line will be y = 8x-2
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determine by how many orders of magnitude the quantities differ. a $100 bill and a dime.
A $100 bill and a dime differ by a magnitude of 3.
Orders of magnitude can be used in order to define large quantities efficiently and more easily. A dime is a currency used in the US that is equivalent to 0.10 dollars.
So we can represent a dime as 10-¹ of a dollar
and we can write 100 dollars as 10² of a dollar.
Therefore the difference in the order of magnitude of 100 dollars and a dime would be the difference between the powers or exponents of those two quantities,
That is,
2-(-1) = 3
So, the dollar differs by a magnitude of 3 from a dime.
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What is the area of rhombus KLMN? Rhombus 467.4 in 387.6 in 289 in 287.3 in
The area of rhombus KLMN is 287.3 in²
What are rhombuses?A quadrilateral called a rhombus has four equal-length sides. The term "equilateral quadrilateral" refers to a quadrilateral whose sides all have equal lengths.
Given:
Since, the diagonals of a rhombus bisects each other at a right angle,
Let they bisect at O,
so, KM = 2MO = 2KO = 2×11.4 = 22.8 in
Thus, Δ KON is a right triangle,
Using Pythagoras theorem,
KN² = KO² + ON²
ON = √17²-11.4²
ON = 12.611 in
LN = 2×12.611
LN = 25.22 in
Then, Area of a rhombus = 1/2 × diagonal 1 × diagonal 2
Area = 1/2 × 25.22 × 22.8
= 287.3 in²
Hence, the area of rhombus KLMN is 287.3 in²
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lenght of films distributed normally with mean 96 minutes and standrad deviation 12 minutes. find the probability that a randomly selected film is betweeen 100 and 120 minutes long
To find the probability that a randomly selected film is between 100 and 120 minutes long, we can use the properties of the normal distribution.
First, we calculate the z-scores for the lower and upper bounds of the desired range:
Lower z-score = (100 - 96) / 12 = 0.333
Upper z-score = (120 - 96) / 12 = 2.000
Next, we look up the probabilities associated with these z-scores in the standard normal distribution table. The probability for the lower bound is P(Z < 0.333) and the probability for the upper bound is P(Z < 2.000).
Using the table or a statistical calculator, we find that the probability for the lower bound is approximately 0.6293 and the probability for the upper bound is approximately 0.9772. To find the probability within the desired range, we subtract the lower probability from the upper probability:
P(100 < X < 120) = P(Z < 2.000) - P(Z < 0.333) = 0.9772 - 0.6293 = 0.3479
Therefore, the probability that a randomly selected film is between 100 and 120 minutes long is approximately 0.3479, or 34.79%.
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AJLK ~ APQR. Find the value of .
22
14
7
1
8
K
16
20
2=
Answer:
x = 11
Step-by-step explanation:
sides are proportional so you can set up a proportional and cross-multiply:
JL is to PQ as LK is to QR
x/22 = 8/16
x/22 = 1/2
2x = 22
x = 11
Match each problem to its solution.32672.72671.7216Jeff wants to buy a new guitar that costs$1,701.04. Currently, he has 51,029.32How many more dollars does he need tobuy the guitar?Rose walks 3.2 miles every day. How manymiles will she have walked in 5 days?Christie was on a road trip. She traveled320.95 miles on day one, 231.45 miles onday two, and 120.32 miles on day three.How many miles did she travel duringher three-day trip?Hugh drove 774.4 miles. His car averaged24.2 miles per gallon of gas. How manygallons of gas did the car use?No
Rose walks 3.2 miles every day. How many miles will she have walked in 5 days?
3.2*5 = 16 miles
Christie was on a road trip. She travelled 320.95 miles on day one, 231.45 miles on day two, and 120.32 miles on day three. How many miles did she travel during her three-day trip?
320.95 + 231.45 + 120.32 = 672.72 miles
Hugh drove 774.4 miles. His car averaged 24.2 miles per gallon of gas. How many gallons of gas did the car use?
774.4/24.2 = 32 gallons
A rectangle has a length of x + 2, a width of 7, and a perimeter of 32. The value of x is
Answer:
x=7
Step-by-step explanation:
g provide a table and an appropriate graph for each question, except indicated otherwise. what percentage of people survived? did women had a better survival rate than men? (suggestion stacked bar plot) how does class affect survival rate? (suggestion: a stacked bar plot, facet wrapped by class)
The total number of third-class people was 709, and 402 of them survived.
In order to create a table and an appropriate graph for each question,
we need data first.
Assuming the data is about the Titanic, let's proceed with the questions.
Percentage of people survived :
To answer this question, we need to have the total number of people who were aboard the Titanic, and how many of them survived.
Let's say the total number of people was 2224, and 722 of them survived.
Using this data, we can create a table as follows:
| | Survived | Not Survived | Total ||-------------------|-------------------|----------------------|-----------|| Number of People | 722 | 1502 | 2224 || Percentage | 32.46% | 67.54% | ||-------------------|-------------------|----------------------|-----------|
To create an appropriate graph, we can use a pie chart as follows:
Did women have a better survival rate than men:
To answer this question, we need to have the total number of men and women who were aboard the Titanic, and how many of them survived.
Let's say the total number of women was 887, and 342 of them survived.
Also, the total number of men was 1337, and 380 of them survived.
Using this data, we can create a table as follows:
| | Survived | Not Survived | Total ||------------------|-------------------|---------------------|-----------|| Women | 342 | 545 | 887 || Men | 380 | 957 | 1337 ||------------------|-------------------|---------------------|-----------|
To create an appropriate graph, we can use a stacked bar plot as follows:
How does class affect the survival rate.
To answer this question, we need to have the total number of people who were aboard the Titanic, how many of them survived, and their class (first, second, or third).
Let's say the total number of first-class people was 324, and 202 of them survived.
Also, the total number of second-class people was 277, and 118 of them survived.
Finally, the total number of third-class people was 709, and 402 of them survived.
Using this data, we can create a table as follows:| | Survived | Not Survived | Total ||-------------------|-------------------|---------------------|-----------|| First-Class | 202 | 122 | 324 || Second-Class | 118 | 159 | 277 || Third-Class | 402 | 307 | 709 ||-------------------|-------------------|---------------------|-----------|
To create an appropriate graph, we can use a stacked bar plot, facet wrapped by class, as follows:
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which is an equation of the line parallel to 4y-7x=8 and passes through (-4,0)
Answer:
The correct option is; A. \(y = \dfrac{7}{4} x + 7\)
Step-by-step explanation:
The given equation is 4·y - 7·x = 8
The coordinates of the point the line passes = (-4, 0)
By dividing the given equation by 4, we have;
4·y/4 - 7/4·x = 8/4
Which gives;
y - 7/4·x = 2
y = 7/4·x + 2
Which is the equation of a straight line in slope and intercept form, y = m·x + c, with the slope, m = 7/4, and the y-intercept = 2
Given that the required line is parallel to the graph of the equation, 4·y - 7·x = 8, the slopes of both equations are equal we have;
Slope of required line = 7/4, point on the line = (-4, 0), which gives the following point and slope form equation of a straight line;
y - 0 = 7/4 × (x - (-4))
y = 7/4·x + 7/4 × 4 = 7/4·x + 7
The equation of the line is therefore;
y = 7/4·x + 7
Help me plz so my mom stops yelling at meh
Answer:
x | y
1 | 3
2 | 6
4 | 12
5 | 15
____________
2nd table down
Step-by-step explanation:
x | y
1 | 3
2 | 6
4 | 12
5 | 15
_____
This relationship is y = 3x.
Because y is always x multiplied by 3.
Thus this relationship is the only proportional one because it is in the form y = kx, where k is the constant of proportionality.
The relationship is also known as direct variation because it goes through (0,0) has a constant variation, and is a linear relationship.
is rap music more popular among young blacks than among young whites? a sample survey compared 634 randomly chosen blacks aged 15 to 25 with 567 randomly selected whites in the same age group. it found that
Answer:
Step-by-step explanation:
Rap music is generally more popular with young blacks than young whites, during the 80s-90s when rap was becoming more popular with artists such as 2pac, BIG, Dr. Dre, etc they were more popular among young blacks than whites
The side lengths of the state flag of Colorado are in the ratio 2:3. If a flag is 12 feet long, what is its height?
Answer:
5 inches
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
you first divide 12 by 3 then multiply it by 2 to get 8
if henry's home has a market value of $145,000 and the assessment rate is 35 percent, what is its assessed valuation? $24,225 $36,250 $50,750 $65,250
Answer: $50,750
Step-by-step explanation: To get the percentage of a number, you need to turn the percent into a decimal, then multiply it with the number you need the percentage of. 35% translates into 0.35. Then you would multiply 145,000 by 0.35, getting 50,750 as your answer!