Answered: If you have 4 highly correlated…

If you have 4 highly correlated variables the maximum number of principal components which can be extracted is O A. 3 O B. 4 O C. 1 O D. 2

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 21CM

See similar textbooks

Related questions

Q: Which of the scatter diagrams below suggests a strong positive linear relationship between the x and…

A: Which of the scatter diagrams below suggests a strong positive linear relationship between the x and…

Q: 16) Suppose you will perform a test to determine whether there is sufficient evidence to support a…

A: Given that, The degree of freedom is,

Q: 2. Define the process, t I VY(u)dW(u) + | Vudu Y(t) = What is the variance of Y (t)?

A: Solution Given Y(t)=∫0tY(u)dW (u)+∫0tuduwe need to find the Y(t)?

Q: 7. Consider this regression: Y = 6, +B,X, + B,X, +u . If X, and X, are not correlated, and if X, is…

A: Given that: Y=β0+β1X1+β2X2+μ Corr(X1,X2)=0 X1 is omitted

Q: 1.) Below are cellular data speeds from Sprint and Verizon measured at different airports Sprint:…

A: Given data :

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

Q: pose that data are obtained from 20 pairs of (x, y) and the sample correlation coefficient is 0.76.…

Q: 15.21. If all the correlations of order zero are equal to r, what are the values of the partial…

Q: For a certain data set the regression equation is ý-29-5x. The correlation coefficient between y and…

A: Coefficient of correlation

Q: For a specific data sel of size n=6 with two variables X and Y, we have Ex= 247. r= 406, Σ E* =…

A: We want to find correlation coefficient

Q: Suppose that you run a correlation and find the correlation coefficient is -0.256 and the regression…

A: Given regression equation is ˆy=−5.8x+56.92 If x= 5.4 y=?

Q: The equation of the regression line between two variables xx (independent variable) and yy…

A: Given : y^=−3x+2

Q: Suppose that X ~ U (0, a) where a is a constant. Let Y = X². Calculate the %3D correlation…

A: We have given a uniform distribution and we have to find the correlation coefficient between the…

Q: Imagine that someone in campus life wants to convert the “Studying” scale so it’s expressed as the…

A: The data table given is:

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: Find the value of partial correlations for r,, = 0.60, r = 0.80, r,3 = 0.70 12

A: We have given that r12 = 0.60, r23 = 0.80, r13=0.70 I want to find partial correlation.

Q: (a) The correlation coefficient is r = (b) The equation of the least squares line is ŷ =

A: Given: Team Games won, x Batting average, y 1 61 278 2 66 273 3 116 278 4 120 264 5 87…

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: The Pearson's correlation coefficient O A. varies between 0 and ±1 B. is negative if the variables…

A: Pearson's correlation is measure of strength of linear relationship between two variables

Q: 26 - x and 23 ; 88 76 ; 305 27 ; 105 64 ; 240 12 ; 30 51 ; 205 33 ; 120 60 ; 104 When…

A: The simple linear regression equation uses the straight line to relate the response variable with…

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: n=13, sum x=120, sum y=340, sum xy=3970, Sigma x^ 2 =1320, Sigma y^ 2 =255555 Calculate the linear…

A: Given n=13, sum x=120, sum y=340, sum xy=3970, Sigma x^ 2 =1320, Sigma y^ 2 =255555

Q: e found to have a strong positive linear correlation. Pick the 0.37x + 25 D.87x + 25 7х — 25 — 25 -

A: The regression line is of the form, Y = a+ bx Here b is the slope and a is the intercept. If the…

Q: Q1) Test a correlation relationship by using Pearson Superman coefficients. 2 2 2 1 1 1 y 3 X 4 2 2…

Q: b. 4 6. 7 10 y 9 6. 8 6. 5 3

A: From the given information, the value of n=7. The formula for the Pearson Product Moment of…

Q: 4) r = 0.843, n = A) Critical values: r = +0.878, significant linear correlation B) Critical values:…

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

A: Given Data: X and Y are correlated

Q: Suppose W = (aX + 3Y) 2 where Y, X are two random variables with zero mean and variances 20x = 4,…

A: As, X~N(0,4) and Y~N(0,16) E[x] = 0 Var[x] = 4 E(x)2 - [E(x)]2 = 4 E(x)2 - 0 = 4 E(x)2 = 4 Now, E[y]…

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: 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 that George wants to determine if the number of y insects in a given area is related to the…

A: Given:

Q: 2. (a) If simple correlation between the variables X,, X, and X3 are same (* 1), then show that i…

A: Given Information: Let X1,X2,and X3 be three random variables with same simple correlation. we can…

Q: We have obtain the following x-y-pairs of data: x 1.8 10 4.2 7 -8.3 y 6.3 9.6 7.4 -1.3 -1.6 Compute…

Q: Example 10: Show that r= where r = coefficient of correlation 20,0, between x and y, o.o are the…

Q: Here is a bivariate data set. x y 74.8 -4.5 75.6 50.8 59.8 59.2 81.1 10.2 74.3 99.4 101.9 -6.7 49.2…

Q: In a statistical study, it is found that variables x and y are correlated as follows. Find the least…

A: Step-by-step procedure to find the regression line using Excel: In Excel sheet, enter x and y in…

Q: sion model are totally unrelated, _______. the coefficient of determination would be 0 the MSE…

A: Correlation is defined as the linear relationship between the two variables. The range of the…

Q: In a test of military ordnance, a large mumber of bombs were dropped on a target from various…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: True or False 1. In general, E(XY) = E(X)E(Y). 2. If Covariance is zero, then the correlation…

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three subparts at a…

Q: Suppose we compute a correlation coefficient between two variable of r= 0. Which of the following…

A: Given Information: Correlation coefficient between two variables is 0 i.e., r = 0 Correlation…

Q: 11. Define the correlation coefficient ry between the variables x, y. will be positive or negative…

Q: Your younger brother, a fourth form practical geography student wishes to test whether there could…

A: In this case, the student is willing to regress the number of visits by using the distance from the…

Q: Suppose that you run a correlation and find the correlation coefficient is 0.421 and the regression…

A: The correlation coefficient is 0.421 and the critical value is 0.396.

Q: x 19.3 23.4 10.3 17.7 23.2 y 6 2 3 3 3

A: Following values can be calculated from the gives values as follows:

Q: Choose the most likely correlation value for this scatterplot: r = 0.436 Ir = 0.100 r= -0.897 r =…

A: Correlation between two variables measure the strength and direction between two variables. It…

Q: There are two random variables X and Y, and their correlation coefficient pX,Y = 0.7. Now, we have…

Q: If there is a strong correlation between the variables a and b, b must cause a. O A. True B. False

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

Question

If you have 4 highly correlated variables the maximum number of principal components which
can be extracted is
O A. 3
О В.4
O C. 1
D. 2

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

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Multivariate Distributions and Functions of Random Variables$

Learn more about

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

Similar questions

For two variables X and Y, we have two regression lines 2X-7Y+3=0 and aX+bY+6=0 for some constants a and b. Suppose we know that X = 2 and Y = 1. Also the second regression line passes through (4, 5). Find the correlation coefficient of these two lines.
The value of the correlation r = (x,y) for the information would be: n = 8, Sum(x) = 609, Sum(y) = 504, Sum (x)^2 = 47995, Sum (y)^2 = 32954, and Sum (xy) = 395650 Choose answer from the following: a. 0.855 b.0.174
The equations of the regression line between two variables are expressed as 2x-3y=0 and 4y-5x-7=0 a) identify which of two can be called regression line of Y on X and X on Y b) find the correlation coefficient c) find mean value of X and mean value of Y
2. What are independent and dependent variables from this table ?
55. Explain from the data given below whether A and B are independent. positively associated or negatively associated : N=10,000, (A) = 4500, (B) = 6000, (AB) = 3150. () (A) = 150, (a) = 250, (B) = 20o, (aB) = 125. %3D %3D %3D
The equations of two regression lines between two variables are expressed as 2X – 3Y = 0 and 4Y – 5X-8 = 0. (i) Identify which of the two can be called regression line of Y on X and of X on Y. (ii) Find X and Y and correlation coefficient r from the equations
What is the significance of R and R2 in gression model?
I JIO 4G 10:03 VOLTE You ぐ Just now 8. A market investigator returns the following' data. Of 1,000 people consulted 811 liked chocolates, 752-liked toffees and 418 liked boiled sweets, 570 liked both chocolates and toffees, 356 liked chocolates and boiled sweets and 348 liked toffees and boiled sweets, 297 liked all' three. Show that this information as it stands must be incorrect.
A farmer would like to investigate the relationship between the obtained yield of apple trees and the amount of weeds found in their roots. For this reason, nine apple trees of the same type were randomly selected and the amount of weeds in their roots (x grams) was recorded together with their yield (y kilograms). Year #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 Weeds in roots (x) 30 28 32 25 25 24 22 24 35 40 Yield (y) 25 30 27 40 42 41 50 45 30 25 Draw a scatter diagram of these data. Label the diagram carefully. Calculate the sample correlation coefficient. Interpret your findings. Calculate the least squares line of y on x and draw the line on the scatter diagram. Based on the regression equation in part (iii.), what will be the predicted yield of apple for a tree with 37 grams of weeds in its roots? Will you trust this value? Justify your answer. Briefly comment on…
Bb UTF Bb UTF Bb Sigi 2 Sta Bb E Rep 9 Nev Bb UT Rep Bb UTF Bb UTF Bb Mic * Win ent.blackboardcdn.com/5df8324563085/7628679?X-Blackboard-Expiration=1645045200000&X-Blackboard-Signature%3D BIU A A- | 三= Fill out the table below and calculate the x statistic and degrees of freedom. Blackjack Preserve Winthrop Woods Glencarin Garden Observed 54 48 24 d.f. = If you conduct this analysis in R, the output tells you the p-value = 0.002. What conclusion can you make? Explain how you reached this conclusion.
Q2) The following data represents the results of an experimental test, if the relation between variables take the form y=ae^(b√x) y = aeb√x X 4 7 12 15 24 y 13 10 7 4 * the correlation coefficient of the (2 above relation 0.9927 O 0.9727 O 0.9772 O 0.9977 O none of all above O
3. What are independent and dependent variables from this table ? What are the X and the Y!!!