Please answer the question. Asap. Thank you. There are 39 observations representing the 39 Peruvians in the dataset and 10 variables.Principal Component Analysis was performed on the data set, giving the following result basedon the correlation matrix. If the rule that only eigenvalues at least as large as 1 will be counted,then only (how many? type a whole number answer)components will beconsidered and aboutof the variation is explained by their eigenvalues together.Component eValue1 3.4492372 1.6921533 1.5432124 0.8562765 0.7837246 0.6063697 0.4380188 0.3286719 0.20576710 0.096575Total(answer to 2 decimal places with % sign e.g. 49.85%)10

Here rule is to choose that eigen values which are at least as large as 1. Here first three eigen…

Answered: There are 39 observations representing…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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Data were collected on 100 low birthweight infants. The variable grmhem is a binary variable indicating whether the infant experienced a germinal matrix hemorrhage (1 = yes and 0 = no). The variable apgar5 contains 5-minute Apgar scores (treat as continuous) and the variable sex contains sex of the infant (1 = male and 0 = female). SAS output is included below for 3 different models with germinal matrix hemorrhage as the outcome variable. Model 1 includes 5-minute Apgar score as the only predictor, Model 2 includes sex as the only predictor, and Model 3 includes both 5-minute Apgar score and sex as predictors. a. What odds ratio does exp(?) represent in Model 1? What odds ratio does exp(?) represent in Model 2? b. Using Model 1, if a child has a 5-minute Apgar score of 3, what is the predicted probability that the child will experience a germinal matrix hemorrhage? c. Using Model 3, if a child has a 5-minute Apgar score of 7 and the child is female, what is the predicted probability…
A car dealer wishes to learn whether they can predict customers preferred car make typebased on suburb so that they could distribute their mail advertising more effectively. Thetable below shows the number of people in a random sample of 245 and their current cars.
1. Calculate the similarity between these 5 observations using the following 2 methods: a. Matching Coefficient Matrix b. Jaccards Coefficient Matrix Breathing Loss of Sore Observations fever cough fatigue headache difficulty taste throat 1 1. 1 1 2 1. 1 3 1 1 1 4 1 1 1 1 5 1. 1. 1. 1
A research team studied the relationships between income, education, age, and IQ in a sample of n = 30 individuals. The matrix shown below shows values for Pearson's r for the study with α=.05α=.05 Education Age IQ Income +.58 +.38 +.27 Education - +.11 +.39 Age - +.02 a) What are the degrees of freedom for the bivariate correlation between income and education? b) Is the correlation between income and education significant? Explain. Hint: Do not calculate t. Instead, refer to the table. c) Write the appropriate statement to express the result for the correlation between income and education.
The data shows 10 randomly selected people being asked how old is their car and how many miles are on it. Use the age of the car for the independent variable and the miles on the car for the dependent variable. Use an alpha = 0.05. Person 1: 4 years, 83, 420 miles. Person 2: 4 years, 54 917 miles. Person 3: 13 years, 128, 609 miles. Person 4: 2 years, 15,033 miles. Person 5: 16 years, 218,407 miles. Person 6: 5 years, 98,012 miles. Person 7: 6 years, 112,000 miles. Person 8: 7 years, 113, 908 miles. Person 9: 3 years, 55,015 miles. Person 10: 10 years, 102, 209 miles. 1. draw a scatter plot of the data 2.Showing all work calculate r. 3. Showing all work determine whether to reject or not reject the null hypothesis based on the t-calculation. 4. Determine the equation of best fit. 5. When x = 5 what is y? 6. Determine r^2. 7. Determine S est. 8. Find the 95% prediction interval when x = 5
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Every Saturday, The Free Press, Mankato, Minnesota's daily newspaper, reports the number of new COVID-19 cases for the previous four weeks in the nine counties of south-central Minnesota. The data source is the Minnesota Department of Health. At α = .05, are the new COVID-19 cases each week independent of the patients' county of residence? Use your analysis of the South-Central MN COVID-19 Cases 8.14-9,10 data to answer the following questions. State the hypotheses and critical value for a chi-square test for independence. Perform the chi-square test for independence. Are the results reliable based on Cochran's Rule? Explain your reasoning. Report the chi-square test statistic, degrees of freedom, and p-value. Based on your findings, do you reject or fail to reject the null hypothesis? Explain the reasons for your decision. Study your analysis and interpret what its output reveals. Be specific about the relationship between the weekly COVID-19 data and the 9-county region. New…
A report by the New York Times in 2022 indicated that, on average, a married woman in the United States goes out with her female friends an average of 5.7 times peryear. A student at Century College conducts a study of her own by randomly surveying married women in White Bear Lake and obtained this data for the number of times in a year: 3 1 1 3 7 2 9 4 6 4 3 8 0 5 6 4 0 1 3 0 Use your calculator to determine the mean and standard deviation for this sample. Then, at the level of significance, Test the claim that married women in White Bear Lake, on average, go out with their female friends less than the overall national average. Be complete, show every step including hypotheses, a labelled graph, and clearly state the final result. Do not use the P-value method. Explain what the final result means in the context of this problem.
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Suppose that in a particular year, STA3703 had three assignments in total. The summary of the marks obtained by civil engineering students at the three assignments is given as follows: Mean vector: The variance-covariance matrix: Assignment number Mean | Assignment 1 Assignment 2 Assignment 3 72 Assignment 1 15 4 2 60 Assignment 2 4 9 16 3 64 Assignment 3 16 25 Let the random variable Y be the vector of the marks obtained by a student at one of the assignments with Y1, the mark obtained at assignment 1, Y2 is the mark obtained at assignment 2 and Y3 is the mark obtained at assignment 3. (a) Find (i) the multivariate probability distribution function (pdf) of Y. (ii) the distribution of the sum of the three assignments. (iii) the joint pdf of assignment 1 and assignment 2 marks. (iv) the covariance of X1 and X2 where X, is the sum of the marks obainted at the three assignments, and X2 is the difference between “the sum of the first two assignments" and "assignment 3", i.e. (v) the…
Consider the following population model for household consumption: cons = a + b1 * inc+ b2 * educ+ b3 * hhsize + u where cons is consumption, inc is income, educ is the education level of household head, hhsize is the size of a household. Suppose a researcher estimates the model and gets the predicted value, cons_hat, and then runs a regression of cons_hat on educ, inc, and hhsize. Which of the following choice is correct and please explain why. A) be certain that R^2 = 1 B) be certain that R^2 = 0 C) be certain that R^2 is less than 1 but greater than 0. D) not be certain

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