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Model Summary Blood Pressure ModelAdjusted RzRMSEHo0.000 0.8440.000 0.7120.000 0.70217.505 9.563ModelUnstandardizedStandard ErrorStandardizedHo(Intercept)139.8623.2...

Question

Model Summary Blood Pressure ModelAdjusted RzRMSEHo0.000 0.8440.000 0.7120.000 0.70217.505 9.563ModelUnstandardizedStandard ErrorStandardizedHo(Intercept)139.8623.25143.0283.995e -27(Intercept) Age97.077 0.9495.528 0.11617.562 8.1742.672e -16 8.876e -90.844

Model Summary Blood Pressure Model Adjusted Rz RMSE Ho 0.000 0.844 0.000 0.712 0.000 0.702 17.505 9.563 Model Unstandardized Standard Error Standardized Ho (Intercept) 139.862 3.251 43.028 3.995e -27 (Intercept) Age 97.077 0.949 5.528 0.116 17.562 8.174 2.672e -16 8.876e -9 0.844



Answers

(Modeling) Blood Pressure Difference Use the formula for determining blood pressure difference from normal, $P_{d}=|P-120|,$ to solve each problem. See Example $8 .$ Determine two possible values for a person's systolic blood pressure if his $P_{d}$ value is 17

Okay so we are given that the blood pressure formula piece of D. Is equal to the absolute value of P minus 120. We want to calculate P. Sub. D. For a woman whose actual blood pressure um is 1 16. Okay well we just go ahead and we substitute in 1 16 for P. So therefore we have P. Sub D. Is equal to the absolute value of 116 minus 120. Okay therefore that's equal to the absolute value of negative four. Well the absolute value is just a distance. That number is from zero. So the distance negative force from zero is four units. So the absolute value of negative four is four. Therefore um calculating this formula for P equals 1 16. We get peace of T. Equals the absolute value of negative four which is just equal to four.

So the question says that the weights are the systolic blood pressure off 26 randomly select a muse. So the sample size is 26 on the age group is 25 to let's see Yes. Now assume the weight on blood pressure Jointly. Matra Normally the she put it The first question Want you to find a regression line? Well eating systolic blood pressure to wait. So the real question like is now This is a formula for it. Thanks. Now this is equal to something like this. X x y What about X x x now the soup course submission. Why warm? Why? I'm sorry. Why won't x one minus some may show Why won't so Mission X one whatever. And we write all of this by submission X ice squid minus so mission X I squid divided by And so this is going to be quote too. 6970 76 minus 3786 Minus what does open Brackett's 4743 divided by 26. Divided by 8805 45 My nose 473 Mhm 43 squared. Divided by 26. Now we have If you walk this out, it gives you 0.41 knife for 15 Now what do B O is? He called. So why is it called? So X? That's so this record 2145 points, 0.6154 minus 0.41 night 415 182.4231 What you said the cells. It will give you 69 points. 10 437 So why is the culture 69 points? 10437 loss. Zero points for one night, 415 x and that's that's now the second question. So this is the request. Your life. My second question is to test for significance or regression. Using this equals to 0.5 Not to test for significance off regression. The apparatus is to be age. Each always equals two. The eyes got served on H or it is not your court zero. So the test statistics would be that see off zero is equal to this divided by. And this is a quote to divided by square which off that's squared, divided by IHS on everything is in the described sign right away. Yes, Eggs. Eggs where that's good is equal to s mhm divided by a minus two. So this is a quarter to S S C miners. It's as all provided by and managed to just to give you the submission off. Why so could I minus And why Squid Miles We are Yes, x y divided by and managed to this because 2555 802 minus 26 months. Supplied by 14 to 5 points. 6154 squid my nose. Zero points for one life for 15 Let's play by 64 to 3 points. So 31 everything divided by 26 point minus two. I only want the started to give you 75 points. 35 seven War night so wanted the next. Therefore see of zero reports zero point for one night for one five divided by a squared off 75 point 35719 divided by 5312 point that you're five and this is a quote 5.9786 for for so therefore see. And most too is he called two c 0.0 point 25 What about suit Command? 26 points feet. And this, of course, is C 0.0 to 5 from 1. 24 this equal to 2.0 64 So because she is equal to five points nine, 78644 with Saddam see 0.25 once when you're full is equal to 2.64 we reject age off and that's his. Now, the next question estimated correlation coefficient while the supper corporation is coefficient. Yeah, next x y to anybody, Mr Paul One about two. This is because 26463.231 divided by Mr Paul one about you. And this is a quote to 0.77349 Now the next question. Mhm, mhm testing at protesters. That piece of quartz zero using zero point you will side. So there are protesters to be talked to. Each of always called super. He please the court zero. Each one is across. He's like that zero. So the two stars distinctions see And your supports are markets and money to divided by squared off one minus house clean This is a called 0.77 34 nights square with 26 months to It's only by the squirrels off one minor civil 10.773 four. Nice. Good. Well, this is a quote. So five points 978 644 on See your points. You were too far, it seems. Is it hold to so 0.10 So because C zero is equal to five points nine seven 8644 is greater than C O 0.25 per one, it seems, is equal to 3.101 reject each or so that's That's now to the next question test that protesters stop, please. Across zero over decades. So the appetite Isis, uh, age of all, he usually calls itself in six. Each one is, of course, my impulses. Not just that, ccps. That is a call to I always tell all nice often. And my next three resto bar one red, sir. So this would give you is your 0.773 49 minus your points soups, closed records, open markets When he sleeps, Myers Creek used to pop off. I want this to give you one minus four points. 1.2 It's nice. 58 Minus 0.693 147 Closed records. 23 years to fall off. So said one about to the courts is that 0.25 and is according to 14 96. So sing set of zero is equal to 1.6 one zero for my is less than is that 0.2 25 is equal to one points. 96 yes, six each of old. So now they get the last question. So the last question is constructs in 95% confidence. That's for the interview interval for the correlation coefficient. Well, for this 95% once the best interval for the correlation coefficient. And this is a closed thio son age. It is open brackets act on sometimes a child My nose 0.5 What about two? Divided by schools off in ministry? Close the bar. Kids less than reports you. He less than in court sits on age open brackets our time h r. Close zed 0.5 What about two divided by squared of annular speed. Close brackets. Now this I give you town age. Open records Arc Son Age open bracket 0.773 49 Close brackets minus 1.96. Whenever I scroll, 23 close brackets less than reports to be less than a report ship time. Each one brackets back time, Age open by Brazil 77 three Former waas 1.96 via by 2023. Those markets When when you solved this out, I want to give you 0.55 13 one suits less than in quotes. Repeat less than report Sleep zero points eights night. We shoot through with them in peace with records to this unless they're able to this. So that's the next 5% confidence until that

Okay, So in this problem, we're looking at the blood pressure in a sample of a couple of different people. And first we want Thio. The dust plot of there was blood pressure. And then we want to see if there's any outlier, so dot plot. Pretty straightforward. We have 66 so we're going to draw one dot over 66 70. We draw dot over 70 72 before that, over 72 88 you 880.70. There's already adults who we draw that above 66. There's no doubt, so we make a new one 68. There's no that we make 1 70. There's already, too does. So we're at three dots. 82. We had a new 0.74. There's no 74 paragraphs are making you 1 90. We make an you want 62. We make a new one 74th one, so we have four dot over 70 76. We make a new 0.90 and we make there's already a dot, so we make a second one for 1986. There's no dot so we make a new one 60. There's already want, so we make it 2nd 1 78 There's no doubt, so we make a deal. Want 82? There was already one, so we make a second one 78. There's already one, so we make a second. One. 84 is not represented yet, so we make a new dot 76. There's already one, so we make a second one 60. There's already two dots, so we make a third. There are already two dust, so we make a third one and 64 isn't there's who make one for 64. So there you have your dot plot, so you simply need to draw a line. Mine is actually a bit too big, so you can simply draw a line. This'll one you don't even need 50 through 100. That just wanted to show a bit of empty space on the side. So we can clearly see that all of our data is represented in the 60 to 90 interval. We can see that there's no uh, no blood pressure. That is exactly 80. I can see the most. Ah, the blood pressure that appears the most afternoons 70 on. We can also see that there is no outlier. So there is no outlier. How do we know that? Well, first of all, there's no big gap. There's no a dot that is far away from the other dots. All of the dots are clustered in off the that I Oh, the same area. Uh, so there's no outlier. There's nothing that is separated from the other. Everything seems to be in the in one range of 60 to 90 without objects gap, they have it. The box plucked and through the box plot, we can see that there's no outlier.

Okay, there's a lot of stuff going on here on this graph. So I'm just gonna draw out what I see happening here. So first off, couple of good things to notice is this is a vertical shift up. So that's our midline of this particular function. So I should draw that way down there. So we know that at 100 this graph is fluctuating up and down up and down and that's the midline of that particular um fluctuation. The amplitude is 20, meaning that it will go 20 above and 20 below, that's the minimum and maximum of this sine wave. And so in entering this problem, if I can remember correctly we are trying to find um the eight, the maximum uh what is it called? I can't even pronounce the words anyway but the maximum value is this systolic pressure. And so the maximum is going to be 120 and then the minimum is the diastolic pressure. Okay? And then the heart rate is the number of beats per minute. And so the heart rate is going to have something to do with this piece here. And if you remember that that has something to do with the period. And so just just to get an idea of what's going on here is that this heart is beating, here's your pressure. And what we're trying to find out is how long does it take for this particular function to complete one Style? Once one cycle. Sorry here. How long was this? And so that's the question we have to answer for that last piece. And so if you have called the period of a function, okay. The period equals B over two pi if I remember correctly. And this is b let's see if our answer makes sense. Just really quickly. seven pie Over three divided by two pi. The 1/2 times 1/2 pi. Oh is it to pi divided baby? Yeah, that would make more sense. Oh boy. Trying to remember formulas off the top of your head is fun. All right, let's see here. So we get 7/6. That doesn't make sense when it comes to heart rate. I'm going to pause this video to review really quickly my formulas because I don't remember him on the top of my head. Do you? Okay, I'm back. I think what I was doing was correct. Where I was doing seven pie over three times 1/2 pi because we're doing um was it the other way around two Pi divided by It's seven pi over three. Two pi divided by it. Okay. Seven pi over. That's the period. Yes. Who starts the frequency? So we want to convert it into a periods. We have two pi over one times 3/7 pie clients cancel. We get 6/7. And of course, in terms of heart rate, this makes no sense because 6/7 of a heartbeat, but you recognize that this is beats per second. So if you want the heart rate per minute to me need to multiply this by 60 weeks, there are 60 seconds in a minute. So we'll do 60 times six or seven, which is approximately 51.43 beats per minute. Who?


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