I know that the r^2 value for the data is 0.9832. Is there a way to use that value to find the percent variation in Y is explained by X? Or do I need to use the data given to me?
2026-03-30 04:56:42.1774846602
How to find the percent variation in Y is explained by X?
11.9k Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in STATISTICS
- Given is $2$ dimensional random variable $(X,Y)$ with table. Determine the correlation between $X$ and $Y$
- Statistics based on empirical distribution
- Given $U,V \sim R(0,1)$. Determine covariance between $X = UV$ and $V$
- Fisher information of sufficient statistic
- Solving Equation with Euler's Number
- derive the expectation of exponential function $e^{-\left\Vert \mathbf{x} - V\mathbf{x}+\mathbf{a}\right\Vert^2}$ or its upper bound
- Determine the marginal distributions of $(T_1, T_2)$
- KL divergence between two multivariate Bernoulli distribution
- Given random variables $(T_1,T_2)$. Show that $T_1$ and $T_2$ are independent and exponentially distributed if..
- Probability of tossing marbles,covariance
Related Questions in CORRELATION
- What is the name of concepts that are used to compare two values?
- Power spectrum of field over an arbitrarily-shaped country
- How to statistically estimate multiple linear coefficients?
- How do I calculate if 2 stocks are negatively correlated?
- A simple question on average correlation
- Two random variables generated with common random varibales
- Correlation of all zero rows and columns in matrix
- Calculating correlation matrix from covariance matrix - r>1
- Joint probability of (X+Z) $\land$ (Y+Z) for arbitrary distribution of X, Y, Z.
- Phase space: Uncorrelated Gaussian Summed With a Linearly Correlated Gaussian
Related Questions in PERCENTAGES
- if $2000 is 40% what is the remaining 60%
- Why does a calculator say that 3% + 3% = .0309?
- How do you calculate number percent between 2 arbitrary numbers
- Need to create a score using multiple variables (percentages) to show efficiency
- How to get part of total based on 2 percentages
- Formula to calculate profit over time
- Calculating Percentage Efficiency
- Percentage stored as a fraction of 1: What is this called?
- Comparing different fractions for ranking?
- Get figure from percentage
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
$r^2*100$ is the percentage of variance explained by $X$.
When you regress $Y$ on $X$ you get $\hat{Y}=a+r\frac{s_y}{s_x}X$
And $Var(\hat{Y})=r^2Var(Y)$ from the above equation.
So $\frac{Var(\hat{Y})}{Var(Y)}*100=r^2*100$ is the percentage of variance explained by x.