m-a-healthy-childs-systolic-blood-pressure-p-in-millimeters-of-mercury-and-weight-w-in-pounds-are-ap

Question

[M] A healthy child's systolic blood pressure $p$ (in millimeters of mercury) and weight $w$ (in pounds) are approximately related by the equation
$\beta_{0}+\beta_{1} \ln w=p$
Use the following experimental data to estimate the systolic blood pressure of a healthy child weighing 100 pounds.

Angelo Rendina · Accepted Answer

we&#x27;re essentially trying to sew to solve our least squares problem. So I&#x27;ve already returned a Matic sacks and being containing the data that were given and because you want to form the normal equations I&#x27;ve already computed the mattress is X transpose X and X transpose speak. There&#x27;s just a simple computation you can check yourself now we we know that the vector containing the confusions that we&#x27;ve want beat the hat satisfies the normal equation. X transpose X meat on is equal to X transpose. Why? So I made a hat. He&#x27;s obtained by computing X transpose x inverse that multiplies X transpose y now excellent was actually two by two matrix. So it&#x27;s me howto find the timbers so one over its determinant the medics obtain by swapping your mints on the main diagonal and negating the elements and secondary diagonal that multiplies X transpose. Why that we&#x27;ve completed already? I&#x27;ve done these multiplication for you and the result is 18.56 19.23. Therefore, we know that the linear model they were looking for, he&#x27;s but I sure is estimated by 18.56 which is the constant term plus the leaner term, which is 19.23. And of course the problem was restated in term of longer than off the weights. So this formula is to wait the pressure in term, off the weight. Now, if the way is ah 100 then we can estimate the pressure to be roughly 18.56 plus 19.23. The longer rhythm off 100. And you can do these with a calculator. The result is other and 7.12.

Averell Hause · Answer

here, we first know that the blood pressure of a human is directly proportional, too. We can say the height. And so what this essentially means is that using for a reading of 120 millimeters of mercury, we can say that H 71 20 would be equaling 0.120 meters. And so the pressure of 120 millimetres of mercury would be equaling the density G H. This would be the density of mercury 13 1006 100 kilograms per cubic meter multiplied by the acceleration due to gravity multiplied by the height of 0.120 meters. And so the pressure of a 120 millimeters of mercury reading would be equaling 1.60 times, 10 to the fourth Newtons per square meter. This would be our final answer for part A. Now, for Part B. It&#x27;s asking us why the blood pressure&#x27;s for an instant infant could be smaller than those for an adult, and this is simply because the height so because the blood pressure is directly proportional for the height, we can say that because height for infant is around 0.50 meters or rather 50 centimeters. So a 0.50 meters and then, um height for an adult is around 1.80 meters. We can say that the infant blood essentially feels the pressure of Onley 0.50 meters, whereas the height of an adult is approximately 101.80 meters. And so because blood pressure is a CZ directly proportional to height, we can say that the blood pressure for infant would of course, be less than the blood pressure for an adult. And this is simply because an infant is smaller. That is the end of the solution. Thank you.

Mayukh Banik · Answer

okay. For the first case, we have pressure. Toby Atrial org It was 0.12 meter times density of my crease. 30,600. You know, Grandpa are made a cube. Ramsay&#x27;s 9.8. I made it for his thinking squared, which comes out to be 15,994 basket. Now, for the second case, the pressure becomes 0.8 meter times. Everything else there is the same. So the answer will be 15 994 Basco times 0.0 Take over 0.12 Equus 10662 Basket. Now this is far the baby are Yeah, This is where, baby. And this is where adult. So we can see that. Uh, my could have got him. Hide for baby is greater. Their market didn&#x27;t hide for Adam.

Sheh Lit Chang · Answer

this question. There are two parts us you want to comfort. You want to conduit? Uh, 1 20 mm SG to Pasco. Oh, so that&#x27;s why I e d and G to pass car. Okay, that&#x27;s the first. So, um, so 1 20 Is she to comfort this to Pascal? Uh, you use road GH. So the rule is the density off. Mercury G&#x27;s 9.81 each is Ah, wanton TMM Comet. Two meters. This is calculated to be 1.6 times 10 to the four Paskah, and then we do the same thing for 80 msg. So putting in the numbers, you complete this to be 1.7 times tended it for Alaska. Okay, decide the answers. No party, And then be we need to explain why the blood pressure off an infant is smaller than that often adopt. So the infants? Yes, lower heights and adults. So, uh, the hearts that&#x27;s not need to, uh, exit high pressures to pump the blood to that

Ankit Gupta · Answer

that&#x27;s trolling pressure in hyper tins and be is to be greater than equal to 90.

Ankit Gupta · Answer

systolic pressure in hypertension be has to bigger than equal toe 14 d mm energy.

Problem

[M] To measure the takeoff performance of an airp…

Problem 12 Medium Difficulty

[M] A healthy child's systolic blood pressure $p$ (in millimeters of mercury) and weight $w$ (in pounds) are approximately related by the equation
$\beta_{0}+\beta_{1} \ln w=p$
Use the following experimental data to estimate the systolic blood pressure of a healthy child weighing 100 pounds.

Answer

$\hat{\beta}=\left[\begin{array}{l}{18.56} \\ {19.24}\end{array}\right]$
$v(4.5)=53.0 \mathrm{ft} / \mathrm{s}$

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David C. Lay, Steven R. Lay, Judi J. McDonald

Linear Algebra and Its Applications

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$\hat{\beta}=\left[\begin{array}{l}{18.56} \\ {19.24}\end{array}\right]$$v(4.5)=53.0 \mathrm{ft} / \mathrm{s}$

Linear Algebra and Its Applications

Heather Z.

Kayleah T.

Michael J.

Joseph L.

Vectors Intro

Vector Basics - Example 1

David C. Lay, Steven R. Lay, Judi J. McDonaldLinear Algebra and Its Applications

Heather Z.

Kayleah T.

Michael J.

Joseph L.

$\hat{\beta}=\left[\begin{array}{l}{18.56} \\ {19.24}\end{array}\right]$
$v(4.5)=53.0 \mathrm{ft} / \mathrm{s}$

David C. Lay, Steven R. Lay, Judi J. McDonald

Linear Algebra and Its Applications