If X and Y are correlated variables, then the corelation coefficient between X and Y lies betweenO a.-1 and+1O b.-1 and 0Oc. None of theseO d. 0 and 1

Correlation: Correlation is the measure of strength and direction of linear relationship between two…

Answered: If X and Y are correlated variables,…

If X and Y are correlated variables, then the correlation coefficient between X and Y lies between O a. -1 and +1 O b. -1 and O c. None of these d. 0 and 1

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...

See similar textbooks

Related questions

Q: Calculate Karl Pearson's Coefficient of Correlation from the following data and verify that ry = Tuv…

A: Here, x y x-x y-y (x-x)(y-y) (x-x)2 (y-y)2 0 14 -5.6 4.4 -24.64 31.36 19.36 4 8 -1.6 -1.6…

Q: Provide an appropriate response. If Data A has a correlation coefficient of r = -0.991, and Data B…

A: 2. The conditions for correlation: The correlation value is lies between -1 and 1. If r value…

Q: Find the correlation coefficient. XY 20 - 11 24 15 32 17 35 19 41 O A) 0,93 B) 0,99 OC) 0,89 OD) D)…

Q: 3. Below is a scatterplot of two variables Y and X. Which of the following is most likely the value…

A: In above question we tell you which one is the correct choice.

Q: If a linear relation exists between the variables x and y, then the coefficient of correlation…

Q: For any two variables X and Y, if the covariance is 1225, the variance of X is 1600, and the…

A: Given that, The formula for calculating the value of correlation coefficient is,

Q: If the coefficient of determination is equal to 1, then the correlation coefficient is a.

A: Given : The coefficient of determination is equal to 1

Q: If Data A has a correlation coefficient of r= -0.991, and Data B has a correlation coefficient of r=…

A: It is given that Data A has a correlation coefficient of r = -0.991. It is given that Data B has a…

Q: Question 8. Let X and Y be random variables with Var(X) 1, Var(Y) 3, and Var(X-Y)3D4. The…

A: Solution: From the given information,

Q: Which of the following statements is false? 1. Taller people tend to be heavier than shorter…

A: If the correlation coefficient between the two variables is zero then there is no linear…

Q: If the correlation coefficient of the data is r= +1, which of the following| description for this…

A: If the correlation coefficient of data is r=+1 Which of following is best description?

Q: The coefficient of correlation between X and Y is and of = a, ož = 4a, and o; = 114 where Z = 3X –…

A: Given that Z=3X-4YSo,…

Q: Show that their correlation coefficient is p =1_if a > 0 for any b =- 1 if a<0 for any

Q: Assume that the computed correlation between x and y is -0.13. Suppose we define new variable s = -x…

Q: Which of the following is not a possible linear correlation coefficientvalue?A) r = 0.327 B) r =…

A: The linear correlation coefficient represents the strength of the variables and direction of the…

Q: Which of the following statements is true? a) The correlation coefficient is 0 if there is a…

A: Solution: Correlation: If two variables are said to be correlated if the changes in the value of one…

Q: 1.2. Calculate the correlation of coefficient (r).

A: Here, Two variables are given, X : Income per annum (in R 1000) Y : Life Insurance (in R 1000) The…

Q: (5) Which of the following is NOT a valid value of correlation coefficient? (a)…

A: Answer : Option e

Q: If there is positive correlation between two sets of numbers, then _______. r > 0 r = 0 r < 0 SSE…

A: The correlation coefficient r measures the strength and direction of linear relationship between two…

Q: If x and y are two uncorrelated variables and u=x+y, v =x- y, find the coefficient of correlation…

Q: Ten pairs of points yielded a correlation coefficient r of 0.864. If α = 0.05 , which of the…

A: We have given that Correlation coefficients (r ) = 0.864 α = 0.05

Q: If X and Y are correlated variables, then the correlation coefficient between X and Y lies between O…

A: The correlation coefficients for any two variables lies between -1 and +1. So, if the variables X…

Q: In order to conduct a MANOVA, we need at least two dependent variables that are moderately…

A: The MANOVA (multivariate analysis of variance) test is used to compare multivariate sample means.…

Q: Which of the following statements is INCORRECT about correlation coefficient? O a. Correlation…

A: The question is about properties of correlation coefficient To find : Incorrect statement about…

Q: 4. Assume the joint PMF given in Problem 1. (a) Find the correlation of X and Y. (b) Find E[X]. (d)…

A: According to the answering guidelines, we can answer only three subparts of a question and the rest…

Q: (1) If X is measured in dollars (S), and Y is measured in meters (m), what is the unit of…

A: Solution: 1. From the given information, X is measured in dollars and Y is measured in meters. The…

Q: A researcher obtains SSy = 2, SSy = 8, and SP = 4 for a set of n = 3 pairs of scores. Calculate…

A: We have given that SSx = 2, SSy = 8 SP or SSxy = 4 n = 3

Q: If x and y are independent random variable with E(xy)= 20 then the correlation coefficient is

Q: 2. Calculate the correlation coefficient between the two variables x and y shown below: X -1 1 2 4…

A: Calculate Correlation Coefficient r without cov(x,y) from the following data X Y -1 -1 1 2…

Q: 5.110 Suppose that Y; and Y2 have correlation coefficient p = .2. What is is the value of the…

Q: What is the value of the linear correlation coefficient "r" for the fol y 2 4 1.

A: The formula for the relation correlation coefficient is given as follows r=∑xi-x∑yi-y∑xi-x2∑yi-y2

Q: 4. The following data is about increasing of rain water per m?(y) amount in a certain time (x) : Y…

A: Calculate Fitting a exponential equation (y=ab^x) - Curve fitting using Least square method X Y…

Q: Suppose X and Y are random variables with E[Y]X] = -x +3 and E[X|Y] = ÷y+5, then the correlation…

A: Suppose X and Y are random variables with E(Y|X)⇒byx=-x+3E(X|Y)⇒bxy=14y+5 The required calculation…

Q: If the correlation coefficient between X and Y is equal to zero, then:

A: Given that the correlation coefficient between X and Y is equal to zero. That is,…

Q: D Question 14 Use the given information to find the coefficient of determination. Find the…

A: Coefficient of determination:

Q: Which of the following coefficient of correlation implies moderate positive correlation? 0.5 to 0.7…

A: Given : correlation coefficient is denoted by r

Q: - 16 Calculate Coefficient of Correlation from the following data: 0.1 0.2 0.3 0.4 0.5 0.6 0.7 X y…

Q: Which of the following correlation coefficients represents the strongest lincar relationship? (1)…

A: solution

Q: What is the correlation between X and Y? a) 1.0 b) -1.0 c) 0.0 d) -0.5

A: We have to find Pearson's correlation coefficient.

Q: Given that the ranks of X and Y are those shown in the table below, calculate the Spearman’s rank…

Q: ru 8.17. Compute Karl Pearson's coefficient of correlation between X and Y from the following…

A: We have given that, X 1 2 3 4 Y 1 4 9 16 Then, We will fine the Karl…

Q: Which of the following would be the value of the correlation coefficient of two variables which are…

A: A correlation tells the strength of linear relationship that two variables have between them. A…

Q: The coefficient of correlation lies between -1 and +1. Symbolically, -1 <r<+1 or|r|s1

Q: Which of the following interpretations is the most correct? O The correlation of +0.8 is just as…

A: Math Achievement and Overall Math Aptitude r = 0.8 Math Achievement and Overall Math Anxiety r =…

Q: For the following scores, Participant X Y A 1 2 B 4 1 C 1 4 D 1 3 E 3 5 Compute…

A: Given data of X and Y are shown belowThe Pearson correlation coefficient is calculated using the…

Q: given by the following table: y X-4 -2 2 4 -2 0 0.25 0 0 -1 0 0.25 1 0.25 0|0 2 0.25 Find the…

A: Given: X -4 -2 2 4 total -2 0 0.25 0 0 0.25 Y -1 0 0 0 0.25 0.25 1…

Q: If (r) is the correlation coefficient between two variables, then:

A: We need to use the concept of correlation

Q: 7. If x and y are two correlated variables with S.D. 0 and o, and correlation coefficient p, find…

Q: If there is a negative correlation between the variables, then the value of r must be إختر أحد…

Q: If there is a very strong correlation between two variables, then the correlation coefficient must…

A: If there is a very strong correlation between two variables, then the correlation coefficient must…

Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

If X and Y are correlated variables, then the corelation coefficient between X and Y lies between
O a.-1 and+1
O b.-1 and 0
Oc. None of these
O d. 0 and 1

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Explanation:

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Correlation, Regression, and Association$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 2
Consider the information below relating to the monthly rates of return for two companies X and Y over a period of 4 months: Y 2 xRate of return yRate of Return Date Month 1 -4.76 -4.75 Month 2 5.34 7.65 Month 3 12.09 6.98 Month 4 -2.98 9.65 Calculate the covariance per month between the two companies. Show all your working.
Let X1, X2, . . . are independent indicator variables with different probabilities of success. That is, P(Xi = 1) = pi. Define Yn = X1 + X2 + . . . + Xn. Find E(Yn), V ar(Yn) and coefficient of variation of Yn
If X1, X2, ... , Xn constitute a random sample of size nfrom a geometric population, show that Y = X1 + X2 +···+ Xn is a sufficient estimator of the parameter θ.
f X1,X2,...,Xn constitute a random sample of size n from a geometric population, show that Y = X1 + X2 + ···+ Xn is a sufficient estimator of the parameter θ.
Suppose you are interested in the causal effect of Xi on Yi and Yi = α + βXi + ϵi. Moreover, cov(Xi , ϵi) = 0. However, you do not observe Yi . Instead, you only observe a proxy for Yi . Denote this proxy Y'i and assume it is related to Yi as follows: Y'i = Yi + µi where cov(µi , ϵi) = cov(µi , Xi) = 0. Suppose you regress Y'i on Xi . Would the resulting coefficient β' provide an unbiased estimate of β?
Make sure to show the correct work and solution: Suppose P(X = 0, Y = 0) = 1/3, P(X = 0, Y = 3) = 1/3, and P(X = 6, Y = 3) = 1/3. Find Cov(X, Y ) and the correlation ρ of X and Y .
The following are smoke readings taken on two different camshafts: Engine Camshaft A Camshaft B A 2.7 2.6 B 2.9 2.6 C 2.9 3.2 D 3.5 3.3 Conduct Wilcoxon signed-rank test to test H0: the one-side alternative.
Which of the following processes (Xt)t is weakly stationary? A: Xt = 1:6 + Xt 1 + V tB: Xt = 0:6 Xt-1 +V tC: Xt = 0:8 Xt-1 + V tD: Xt = 0:8 t + 0:6 V t – 1 The term (t) is always assumed to be white noise with variance one
When random samples are drawn so that the selection of a case for one sample has no effect on the selection of cases for another sample, the samples are A. Dependent B. Independent C. Simple D. Systemo
How should I choose between d and e- if d does not exist neither would e, right?
An instructor has given a short quiz consisting of two parts. For a randomly selected student, let X = the number of points earned on the first part and Y = the number of points earned on the second part. Suppose that the joint pmf of X and Y is given in the accompanying table. y p(x, y) 0 5 10 15 x 0.01 0.06 0.02 0.10 5 0.04 0.16 0.20 0.10 10 0.01 0.15 0.14 0.01 (a) Compute the covariance for X and Y. (Round your answer to two decimal places.)Cov(X, Y) = (b) Compute ? for X and Y. (Round your answer to two decimal places.)? =