Multicollinearity is used to describe the problem of using variables that strongly correlate with one another in a multiple linear regression model.
Multiple linear regression refers to a statistical technique that is used to predict the outcome of a variable based on the value of two or more variables. It is sometimes known simply as multiple regression, and it is an extension of linear regression. The variable that we want to predict is known as the dependent variable, while the variables we use to predict the value of the dependent variable are known as independent or explanatory variables.
Multicollinearity, also known as collinearity, is a phenomena in statistics when one predictor variable in a multiple regression model can be linearly predicted from the others with a high level of accuracy. In this case, minor adjustments to the model or the data may cause the multiple regression's coefficient estimates to fluctuate unpredictably. Multicollinearity only impacts calculations pertaining to specific predictors; it has no impact on the predictive capability or reliability of the model as a whole, at least within the sample data set. In other words, a multivariate regression model with collinear predictors can show how well the entire set of predictors predicts the outcome variable, but it might not provide accurate information about any particular predictor or about which predictors are redundant with respect to another predictor.
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Fatima is taking a test that is 45 minutes long.
She finishes the test at 10:50 a.m.
What time did she start the test?
Answer:10:05
Step-by-step explanation:
subtract 45 from 50!
Answer:
She started the test at 10:05 am
Step-by-step explanation:
Take the end time and subtract the time of the test
10:50-45 = 10:05
She started the test at 10:05 am
Find the length of the arc
Answer:
23.6 or 1 4 × π × 8 = 2 π if its not right let me know
Step-by-step explanation:
calculate the flux of the vector fieldf=(x² y²)k through the disk of radius 10 in the cy-plane, centered at the origin and oriented upward.
The flux of the vector field f=(x² y²)k through the disk of radius 10 in the xy-plane, centered at the origin and oriented upward, is zero.
The flux of a vector field through a surface is given by the surface integral of the dot product of the vector field and the unit normal vector to the surface. In this case, the vector field is f=(x² y²)k, which is pointing in the z direction, and the surface is a disk in the xy-plane of radius 10, centered at the origin, and oriented upward.
The unit normal vector to the disk is pointing in the upward direction, which is the same direction as the vector field. Therefore, the dot product of the vector field and the unit normal vector is always positive, and the surface integral of this dot product over the disk is always positive.
However, the divergence of the vector field f is 2xy, which is not zero. According to the Divergence Theorem, the flux of a vector field through a closed surface is equal to the triple integral of the divergence of the vector field over the enclosed volume. Since the disk is an open surface, we cannot use the Divergence Theorem directly.
Instead, we can use the fact that the flux through any closed surface that encloses the disk is zero. This is because the flux through any closed surface that encloses the disk must be equal to the flux through the disk itself plus the flux through the rest of the closed surface, which is zero because the vector field f is zero everywhere outside the disk.
Therefore, the flux of the vector field f=(x² y²)k through the disk of radius 10 in the xy-plane, centered at the origin and oriented upward, is zero.
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I want to find the vertex and the axis of symmetry
Answer:
Step-by-step explanation:
x2+1+2 x)(x2+1−2 x)(x2+1)(x+1)(x−1)
Anyone know what the answer is?
Peloton, a fitness equipment company, is investigating if the quarter of the year (i.e., Quarter 1, 2, 3 and 4) impacts stationary bike sales (i.e., number of stationary bikes sold during that quarter). Study team collects information on stationary bike sales during each quarter over the past 5 years and runs a statistical test to test whether the average number of stationary bikes sold are same between all quarters or if some quarters are different than others with regards to stationary bike sales. Is the following statement true or false?
We should use a one-way ANOVA since the study team is investigating one factor and the impact of its levels on the average response variable.
A one-way ANOVA is appropriate in this scenario as it allows for the analysis of one factor (quarter of the year) and its impact on the average response variable (stationary bike sales), helping to determine if there are significant differences between the quarters.
The statement is true. A one-way ANOVA (Analysis of Variance) is an appropriate statistical test to determine if there are significant differences among the means of multiple groups (in this case, the quarters of the year) with regards to the average response variable (stationary bike sales).
In this study, the study team is investigating the impact of different levels (quarters 1, 2, 3, and 4) of the factor (quarter of the year) on the average response variable (number of stationary bikes sold). They want to determine if there are significant differences in sales between the quarters.
A one-way ANOVA allows for the comparison of means between multiple groups and tests whether the differences observed are statistically significant. By conducting a one-way ANOVA, the study team can assess if there are any significant variations in stationary bike sales across different quarters of the year.
The one-way ANOVA will provide an F-statistic, along with p-value, which indicates whether there are statistically significant differences among the means of the quarters. If the p-value is below a predetermined significance level (e.g., 0.05), it would indicate that at least one quarter differs significantly from the others in terms of stationary bike sales.
Therefore, using a one-way ANOVA is appropriate in this scenario as it allows for the analysis of one factor (quarter of the year) and its impact on the average response variable (stationary bike sales), helping to determine if there are significant differences between the quarters.
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based on data from a statistical abstract, only about 17% of senior citizens (65 years old or older) get the flu each year. however, about 23% of the people under 65 years old get the flu each year. in the general population, there are 10% senior citizens (65 years old or older). (round your answers to three decimal places.) (a) what is the probability that a person selected at random from the general population is senior citizen who will get the flu this season? (b) what is the probability that a person selected at random from the general population is a person under age 65 who will get the flu this year? (c) repeat parts (a) and (b) for a community that has 91% senior citizens. (a) (b) (d) repeat parts (a) and (b) for a community that has 52% senior citizens. (a) (b) g
A) The probability that a person selected at random from the general population is senior citizen who will get the flu this season is 0.017.
B) The probability that a person selected at random from the general population is a person under age 65 who will get the flu this year is 0.207.
C) a) 0.1547 community has 91% senior citizens.
b) 0.0207 community has 91% senior citizens.
D) a) 0.0884 community has 52% senior citizens.
b) 0.1104 community has 52% senior citizens.
Probability:Probability is a measure of the uncertainty of various phenomena. For example, if you roll a die, the possible outcomes are defined by probabilities. This distribution can be defined using random experiments with uncertain or unpredictable outcomes.
A) (a) The probability that a person selected at random from the general population is senior citizen who will get the flu this season is
0.10 x 0.17 = 0.017
(b) The probability that a person selected randomly from the general population is a person under age 65 who will get the flu this year is
(1 - 0.10) x 0.23 = 0.9 x 0.23 = 0.207
(c) (a) 0.91 x 0.17 = 0.1547
(b) (1 - 0.91) x 0.23 = 0.09 x 0.23 = 0.0207
Therefore, 91% senior citizens has 0.1547 flu
and b) 0.0207 senior citizens are there.
(d) (a) 0.52 x 0.17 = 0.0884
(b) (1 - 0.52) x 0.23 = 0.48 x 0.23 = 0.1104
Therefore, 52% senior citizens has 0.0884 probability of getting flu.
b) 0.1104 community has flu.
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MY HOMEWORK IS DUE SOON!!! PLEASE HELP
Answer:
7.07143
Step-by-step explanation:
Diameter: 18
Angle: 45
Radius: 9
scooter fun and skoot zoom are elevtronic scooter rental companies. Scooter fun charges an $8 deposit plus $6 per hour rental free.
What is the area of a right triangle 6 centimeters
high with a base of 2 centimeters?
The area of the triangle enclosed by 3 sides of a triangle is 6 cm²
What is the area of a triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. To find a triangle's area, use the formula area = 1/2 * base * height.
Given here: The dimensions of a triangle as 6 cm and base 2 cm
We know the area of the triangle is equal to half of the base times height,
A=1/2×6×2
=6 cm²
Hence, The area of the triangle enclosed by 3 sides of a triangle is 6 cm²
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does 5(10x-6)=50x+25 have a solution
Complete these ordered pairs for this equation.
(0, ), (-1,), (1, ) y=2x+1
Help
Answer:
The completed ordered pair are;
(0, 1), (-1, -1), and (1, 3)
Step-by-step explanation:
The ordered pair, (x, y), presents the corresponding values of 'x' and 'y' based on a given relationship, or equation
The given relationship between 'x', and 'y' is, y = 2·x + 1
Therefore, given that the x-values (first of two values, separated by the coma) are given, we have;
In the given incomplete pair (0, ), when x = 0, therefore, y = 2 × 0 + 1 = 1
The complete ordered pair is (0, 1)
Similarly, for (-1, ), we have;
When x = -1, y = 2 × (-1) + 1 = -1
The complete ordered pair is (-1, -1)
We also have for the incomplete pair, (1, )
When x = 1, y = 2 × 1 + 1 = 3
The complete ordered pair is (1, 3)
The completed ordered pair for the equation, y = 2·x + 1, are therefore;
(0, 1), (-1, -1), and (1, 3).
anyone wanna have a conversation
Answer:
sure
Step-by-step explanation:
Answer:
hii
Step-by-step explanation:
Which equation best describes the line in the graph?
Answer:b
Step-by-step explanation:
Give brainliest
Answer:
B
Step-by-step explanation:
The question is looking for an equation in slope-intercept form which is y=mx+b where m is the slope and b is the y-intercept. The y-intercept is +4, which all of the answers show, so you must find the slope.
The slope is the change in y over change in x, more commonly referred to as rise over run. So count how many units the graph changes vertically and horizontally, in this case, 1 up and 2 right, so the slope is equal to 1/2. If you have a graph where the line shifts up and left, or down and right, then the slope is negative. Additionally, one way to visually check your work is to remember slopes equal to less than -1 or greater than +1 will be steeper while fraction slopes will make the slope flatter; basically the closer to zero the less steep.
Will give brainliest
Answer:
26°
Step-by-step explanation:
Please brainliest me
Determine the outward flux of ⁻F = 2xyi + (2xz + y - y²)j – z²k across the surface of the solid bounded by the cylinder y² + z² = 4 and the plane x = z + 2 in the first octant.
The outward flux of ⁻F across the surface of the solid bounded by the cylinder y² + z² = 4 and the plane x = z + 2 in the first octant is 6π.
To find the outward flux, we need to evaluate the surface integral of the vector field ⁻F over the given surface. The surface consists of the curved part of the cylinder and the plane in the first octant. We can parameterize the surface using cylindrical coordinates as follows:
x = ρcosθ
y = ρsinθ
z = z
The normal vector to the surface is given by n = ∇r, where r is the position vector of the surface. The outward flux is then given by the surface integral ∬S ⁻F · n dS.
Considering the cylindrical surface S1: ρ = 2, and the plane S2: x = z + 2, we can rewrite the surface integral as a double integral over the cylindrical surface in terms of ρ and θ:
∬S1 ⁻F · n dS + ∬S2 ⁻F · n dS
Using the parametric equations and the normal vector, we can calculate ⁻F · n for each surface:
For S1, ⁻F · n = ⁻F · (∇r) = ⁻F · (∂ρ/∂x, ∂ρ/∂y, ∂ρ/∂z)
= (2xy)(∂ρ/∂x) + (2xy)(∂ρ/∂y) + (2xz + y - y²)(∂ρ/∂z)
For S2, ⁻F · n = ⁻F · (∇r) = ⁻F · (∂x/∂x, ∂x/∂y, ∂x/∂z)
= (2xy)(∂x/∂x) + (2xy)(∂x/∂y) + (2xz + y - y²)(∂x/∂z)
Evaluating these dot products and performing the double integrals, we find the outward flux to be 6π.
The outward flux of the vector field ⁻F across the surface of the solid bounded by the cylinder y² + z² = 4 and the plane x = z + 2 in the first octant is 6π. This result indicates the net flow of the vector field outward through the surface.
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please help!!!!!!!!!!!!
The height of the pyramid is 12 units.
The volume of the pyramid is 400 units cube.
How to find the height and volume of a pyramid?The pyramid has a square base with side length of 10 units. Each segment that connect the apex to a midpoint of a side of the base has a length of 13 units.
Therefore, the height of the pyramid can be calculated as follows:
The height of the pyramid can be found using Pythagoras's theorem for right triangles.
Hence,
c² = a² + b²
where
c = hypotenuse sidea and b are the other legsTherefore,
h² = 13² - 5²
h = √169 - 25
h = √144
h = 12 units
Therefore,
height of the pyramid = 12 units
Volume of the square pyramid = 1 / 3 BH
where
B = base areaH = height of the pyramidTherefore,
B = 10² = 100 units²
Volume of the square pyramid = 1 / 3 × 100 × 12
Volume of the square pyramid = 1200 / 3
Volume of the square pyramid = 400 units³
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Use the distributive property to write the following expressions in expanded form.
5 (7h + 3m)
Answer: Did it in ways that are different.
Step-by-step explanation:
35.25 hours
2115 minutes
5 3 minutes + 5 7 hours
I am really bad at math! So can someone please help me again!
Answer:
Fraction: x= 8/5
Decimal: x= 1.6
Mixed Number: x= 1 3/5
Answer this question pls
Answer:
1/5 gallon left so A. would be the answer
Step-by-step explanation:
which expression is equivalent to 6 (p+5)
30+6p
30p
30+p
11p
Answer:
30+6p
Step-by-step explanation:
6 times p + 6times5
6p+30
What is an equation of the line that passes through the points (6,2) and
(7, 1)?
(Giving brainliest )
\((\stackrel{x_1}{6}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{6}}}\implies \cfrac{-1}{1}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-1}(x-\stackrel{x_1}{6}) \\\\\\ y-2=-x+6\implies y=-x+8\)
Find the area of the resulting slick, assuming that it is one molecule thick, and that each molecule occupies a cube 0.50 μm on a side.
The area of the resulting slick is 1. 5 μm²
What is the area?
The formula for area of a cube is expressed as;
Area = 6 a²
Where,
a = length of its side
From the information given, we have that;
a = 0.50 μm
Substitute into the formula
Area = 6 × (0.50)²
Area = 6 × 0. 25
Area = 1. 5 μm²
Thus, the area of the resulting slick is 1. 5 μm²
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I need help please I can’t understand these problems.
Answer:
m∠ABD = 88°, m∠CBD = 23°
Step-by-step explanation:
m∠ABD + m∠CBD = m∠ABC = 111°
(-10x + 58) + (6x + 41) = 111
-4x + 99 = 111
-4x = 12
x = -3
m∠ ABD = -10(-3) + 58 = 88°
m∠CBD = 6(-3) + 41 = 23°
Answer:
Step-by-step explanation:
X= -3
Abd = 88 degrees
Cbd = 23 degrees
Set the equation this way and solve:
-10x + 58 + 6x + 41 = 111
-4x + 99 = 111
-4x = 12
X = -3
Can anyone state the vertex of the graph?
The graph has no vertex
The transformations from the parent function are
Vertical shift down 2Horizontal shift left 4How to determine the vertex?To determine the vertex of a graph, we look for the location of the maximum or the minimum point of the graph
Because the graph is a cubic function, the graph has no maximum or minimum (by definition)
This means that there is absence of a vertex in the graph
The transformation from the parent functionIn (a), we have
We can see that the graph is a cubic function
This function is represented as
y = ∛x
In this graph, we can see that the graph is 4 units to the left i.e. y = ∛(x - 4)
And 2 units below the origin i.e. y = ∛(x - 4) + 2
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Ashley buys a television for 20% off the list price of p dollars. If the sales tax is 7%, how much does Ashley pay for the
television, including sales tax?
0 8p dollars
0.824p dollars
0.856p dollars
0.864p dollars
Answer:
0.856p dollars
Step-by-step explanation:
Original price of TV: p
Discount: 20% of p
Discounted price: p - 20% of p = p - 0.2p = 0.8p
7% sales tax on the discounted price of 0.8p: 0.07 * 0.8p = 0.056p
Add the 7% tax to the discounted price: 0.8p + 0.056p = 0.856p
Answer: 0.856p dollars
Look at the pic picture
Answer:
\(3(6) + 4 ({2})^{3} - 5 \\ = 18 + 4(8) - 5 \\ = 18 + 32 - 5 \\ = 45\)
so, 45 is your answer
Please help before 2:10
Answer:
X= -1
Step-by-step explanation:
Answer:
x = -1 or D
Step-by-step explanation:
hope this helps
Which table represents a function ?
Answer:
Option A will be your answer
Step-by-step explanation:
hope it helps u
is 7.1324 a natural number?
Answer: That is not a natural number
Step-by-step explanation: because natural number are just counting numbers you cant count that