Example 23 The lines of regression of y on x and x on y are respectively y = x + 5 and 16x = 9y + 94. Find the variance of x if the variance of y is 16 . Also find the covariance of x and y
Added by Stephanie N.
Step 1
The first regression line of Y on X is given as \(y = x + 5\). This can be rewritten as \(y - x = 5\), which represents the regression of Y on X. The second regression line is given as \(16x - 9y = -94\), which represents the regression of X on Y. To make it more Show more…
Show all steps
Close
Your feedback will help us improve your experience
Banhishikha Sinha and 86 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Using the table below, calculate the variance of X, variance of Y, standard deviation of X, standard deviation of Y, the covariance between X and Y, the correlation coefficient between X and Y, and find the regression line assuming X is the independent variable (find the slope and the intercept). Show your work. Fill in the Blanks: X Y X - Xbar Y - Ybar (X - Xbar)^2 (Y - Ybar)^2 (X - Xbar) * (Y - Ybar) 5 3 9 6 12 15 17 20 21 23 Sum Calculate the following and show your work. Xbar: Ybar: Variance of X: Variance of Y: Standard Deviation of X: Standard Deviation of Y: Covariance between X and Y: Correlation Coefficient between X and Y: The Slope of the Regression Line: The Y Intercept of the Regression Line: Regression Line:
Lucas F.
x has mean and standard deviation 2 and 2 while y has a mean and standard deviation of 1 and 4. The covariance of x and y is 2. So, the slope of the regression line of y on x is:
Christopher D.
Suppose $f(x)=1.5 x^{2}$ for $-1<x<1$. Determine the mean and variance of $X$.
Continuous Random Variables and Probability Distributions
Mean and Variance of a Continuous Random Variable
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD