Blood pressure: A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressuretaken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of theheartbeat. Blood pressures were measured, in millimeters of mercury, for a sample of 8 adults. The following table presents theresults.SystolicDiastolic1268810486103801108012271117881307511869Send data to ExcelCompute the least-squares regression line for predicting diastolic pressure (y) from systolic pressure (x). Round the intermediatecalculations to at least six decimal places. Round the slope and y-intercept values to at least four decimal places.Regression line equation: y =Save For LaterSubmit Assignment-Check Answer2021 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center39°F C

Given data, X Y X*Y X*X 126 88 11088 15876 104 86 8944 10816 103 80 8240 10609 110 80…

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Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 22EQ

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Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?
Population Genetics In the study of population genetics, an important measure of inbreeding is the proportion of homozygous genotypesthat is, instances in which the two alleles carried at a particular site on an individuals chromosomes are both the same. For population in which blood-related individual mate, them is a higher than expected frequency of homozygous individuals. Examples of such populations include endangered or rare species, selectively bred breeds, and isolated populations. in general. the frequency of homozygous children from mating of blood-related parents is greater than that for children from unrelated parents Measured over a large number of generations, the proportion of heterozygous genotypesthat is, nonhomozygous genotypeschanges by a constant factor 1 from generation to generation. The factor 1 is a number between 0 and 1. If 1=0.75, for example then the proportion of heterozygous individuals in the population decreases by 25 in each generation In this case, after 10 generations, the proportion of heterozygous individuals in the population decreases by 94.37, since 0.7510=0.0563, or 5.63. In other words, 94.37 of the population is homozygous. For specific types of matings, the proportion of heterozygous genotypes can be related to that of previous generations and is found from an equation. For mating between siblings 1 can be determined as the largest value of for which 2=12+14. This equation comes from carefully accounting for the genotypes for the present generation the 2 term in terms of those previous two generations represented by for the parents generation and by the constant term of the grandparents generation. a Find both solutions to the quadratic equation above and identify which is 1 use a horizontal span of 1 to 1 in this exercise and the following exercise. b After 5 generations, what proportion of the population will be homozygous? c After 20 generations, what proportion of the population will be homozygous?

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n when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the be tbeat. Blood pressures were measured, in millimeters of mercury, for a sample of 8 adults. The following t- Its. Systolic Diastolic 126 88 104 86 103 80