4. The following table lists the weights and heights of five boys: Boys Sam Tom Peter Mike Jack Weights (lb.) 120 125 125 135 145 Heights (in.) 61 60 64 68 72 a) Find the covariance matrix for the data. b) Make a principal component analysis of the data to find a single size index that explains most of the variation in the data.

4. The following table lists the weights and heights of five boys: Boys Sam Tom Peter Mike Jack Weights (lb.) 120 125 125 135 145 Heights (in.) 61 60 64 68 72 a) Find the covariance matrix for the data. b) Make a principal component analysis of the data to find a single size index that explains most of the variation in the data.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

Answer d & e only
Find Coefficient Correlation between population and total. state abb region population total 1 Alabama AL South 4779736 135 2 Alaska AK West 710231 19 3 Arizona AZ West 6392017 232 4 Arkansas AR South 2915918 93 5 California CA West 37253956 1257 6 Colorado CO West 5029196 65 7 Connecticut CT Northeast 3574097 97 8 Delaware DE South 897934 38 9 District of Columbia DC South 601723 99 10 Florida FL South 19687653 669 11 Georgia GA South 9920000 376 12 Hawaii HI West 1360301 7 13 Idaho ID West 1567582 12 14 Illinois IL North Central 12830632 364 15 Indiana IN North Central 6483802…
The top portion of the Pearson's r correlation coefficient equation calculates the______ whereas the bottom portion calculates the___ 1)variance of x and the variance of y; covariance between variables x and y 2)covariance of variable ×; covariance of variable y 3)covariance between variables x and y; variance of x and the variance of y 4)covariance of variable v: covariance of variable x.
Data: 3.5, 3.2, 3.1, 3.5, 3.6, 3.2, 3.4, 2.9, 4.1, 2.6, 3.3, 3.5, 3.9, 3.8, 3.7, 3.4, 3.6, 3.5, 3.5, 3.7, 3.6, 3.8, 3.2, 3.4, 4.2, 3.6, 3.1, 2.9, 2.5, 3.5, 3.1, 3.2, 3.7, 3.8, 3.4, 3.6, 3.5, 3.2, 3.6, 3.8 Sketch a histogram with ranges of 0.1, from minimum (2.5) to maximum (4.2) values. Then sketch a histogram with ranges of 0.3. You can include the relative frequency scales on the same sketches.
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
1.) The data in the table below show years of teaching experience and annual salary in dollars for 12 randomly selected mathematics instructors in Illinois colleges/ universities for the 2013/2014 school year. Is there a linear correlation between a mathematics instructor’s years of experience and his or her annual salary? Number of Years 7 9 6 7 11 12 11 3 3 7 9 1 Salary (in Dollars) $48,897.00 $62,866.00 $54,585.00 $56,611.00 $53,541.00 $53,541.00 $47,027.00 $47,970.00 $46,668.00 $48,029.00 $46,735.00 $45,000.00 THE OTHER QUESTION 2.) Does incubation or gestation time affect an animal’s average lifespan? Some animals have lifespans that average well over 100 years. The following table lists animals that have some of the longest lifespans on the earth. Is there a correlation between an animal’s gestation/incubation period and its average lifespan in years? Animal: Nile crocodile, Aldabra giant tortoise, Lake sturgeon, Galápagos tortoise, Bowhead whale Average Lifespan (in…
The following table gives the marks obtained by a student in ten tests during the year. Calculate the correlation coefficient. Test No. : 1 2 3 4 5 6 7 8 10 Marks in Accounts : 77 54 27 52 14 35 90 25 56 60 Marks in English : 35 58 60 40 50 40 35 56 34 42
A random sample of ten professional athletes produced the following data. The first row is the number of endorsements the athlete has and the second row is the amount of money made (in millions of dollars) by the athlete.   What is the linear correlation coefficient? Round to three decimal places. Number of Endorsements 0 3 2 1 5 5 4 3 0 4 Profit (in Millions) 2 8 7 3 13 12 9 9 3 10
The following table reports the sale of umbrellas for 16 quarters. Quarter Year 1 Year 2 Year 3 Year 4 1 12 6. 2 2 3 7 4 1 1 4. 10 What type of pattern exists in the data?
12. A student took a random sample of 10 students enrolled in an accounting class last semester, asking each to report the total amount of time spent studying for the course and the grade that the student received. The data is listed below: Study Time Grade 40 77 42 63 37 79 47 86 25 51 44 78 41 83 90 48 35 65 28 47 a. Calculate the covariance. b. Calculate the coefficient of correlation. x C. Calculate the coefficient of determination. Kd. Determine the least squares line. What do the statistics calculated above tell you about the relationship between the marks and study time? е.