4

MAC2311 Online Spring 2021 (22131 Ref # 10117miraj tallr03/16/21 9.57 AMReview Homework: 4.3 What Derivatives Tell Us Score: 10 0t21ClreHW Score: 50.91%, 11.20/22 p...

Question

MAC2311 Online Spring 2021 (22131 Ref # 10117miraj tallr03/16/21 9.57 AMReview Homework: 4.3 What Derivatives Tell Us Score: 10 0t21ClreHW Score: 50.91%, 11.20/22 pt4.3.31 Assigned MediaQuestlon HelpFInd the Intetvats whichinacaanng und the Inteavat whichu i9 dctren- Irig2cos (>) Yaxon [0x]Select =cotecichorobclov Tndail necne #it HIn Uat aakut boxle coluatale vour choiceUnz Tuncuon dacoreine Ihe open nlervall9 The iuncilon is novor nicreasing comme gepaft0 answere 06 needed Tytx: YGA aniswer

MAC2311 Online Spring 2021 (22131 Ref # 10117 miraj tallr 03/16/21 9.57 AM Review Homework: 4.3 What Derivatives Tell Us Score: 10 0t21 Clre HW Score: 50.91%, 11.20/22 pt 4.3.31 Assigned Media Questlon Help FInd the Intetvats which inacaanng und the Inteavat whichu i9 dctren- Irig 2cos (>) Yaxon [0x] Select = cotecichorobclov Tndail necne #it HIn Uat aakut boxle coluatale vour choice Unz Tuncuon dacoreine Ihe open nlervall9 The iuncilon is novor nicreasing comme gepaft0 answere 06 needed Tytx: YGA aniswers Intery il hotallon Typa MrcntaneI (Simplify your ansiter Uce UaIn integers Hacuons any numoe s crplualon, Hue murccnn Incraslng Inu &orn intenvols {3 Wndecrene Intaxtvalks) (9(] (Simplly Your #nswyers. Use rammnm eparat neuded Typa your 375444 In Interval nMabon Typo nxc Answc uinq nteq4s Traclon? any numbers euomasion needer neadad Uge Tha funcilon Increasing thu open Interralis) The fmnchpn naver Ocieasing (Sintelify your onswets Use conina sepatale answeis noeded Type your answers Inbuyal natallan Type exac IGNH L"alo x inte Jars Iaciong Iot Jy nurbers in tho expresslon ) needed Uco Iue funclion Is never inctoneing 3a crasim Question ? cortplete . tap on Iht fed indicator Bee incolrect anskets Sunllar Questoon Allipjrts showing



Answers

Multiple choice: Select the best answer for Exercises, which are based on the following information. To determine property taxes, Florida reappraises real estate every year, and the county appraiser's Web site lists the current "fair market value" of each piece of property. Property usually sells for somewhat more than the appraised market value. We collected data on the appraised market values $x$ and actual selling prices $y$ (in thousands of dollars) of a random sample of 16 condominium units in Florida. We checked that the conditions for inference about the slope of the population regression line are met. Here is part of the Minitab output from a least-squares regression analysis using these data. ${ }^{13}$ $$ \begin{array}{lllll} \text { Predictor } & \text { Coef } & \text { SE Coef } & \text { T } & \text { P } \\ \text { Constant } & 127.27 & 79.49 & 1.60 & 0.132 \\ \text { Appraisal } & 1.0466 & 0.1126 & 9.29 & 0.000 \\ \mathrm{~S}=69.7299 & \mathrm{R}-\mathrm{Sq}=86.1 \% & \mathrm{R}-\mathrm{Sq}(\mathrm{adj}) & =85.1 \% \end{array} $$ Which of the following is the best interpretation for the value 0.1126 in the computer output? (a) For each increase of $\$ 1000$ in appraised value, the average selling price increases by about 0.1126 . (b) When using this model to predict selling price, the predictions will typically be off by about 0.1126 . (c) $11.26 \%$ of the variation in selling price is accounted for by the linear relationship between selling price and appraised value. (d) There is a weak, positive linear relationship between selling price and appraised value. (e) In repeated samples of size 16 , the sample slope will typically vary from the population slope by about $0.1126 .$

Many examples of conservation of mechanical energy involve spring potential energy getting converted into other forms. So typical examples might be clowns getting shot out of spring cannons during a circus event, um Or toy guns that can shoot marbles upwards. Um And in these cases you're converting spring potential energy into gravitational potential energy or and or kinetic energy. But let's take a concrete example, let's suppose you have one of those little spring toys, they usually look like chickens or rabbits, but we'll pretend it it's just um a mass. And will also say that you can load different masses onto the toy. The spring starts off relaxed with a relaxed length L. Zero, which will change as you load the toy down. But we'll have uh some way of measuring that, we'll say. So you squeeze the toy down, press it down a little bit. Let's say you always maintain the same distance through which you're going to compress that spring. We'll call that distance X. And what you're doing with your experiment is you're trying to determine the spring constant K. Of that spring. And it's a little bit too hard to do sort of the vertical hanging experiment. So what you're going to do instead is watch the little toy leap up into the air and it will leap up to a certain height after the spring completely relaxes and leaves the surface. Um And that height will be measured relative to where it started with compression by delta X. Or by X. We'll call it. And the question is, how can you experimentally determine the spring constant from these experiments? Well, this is conservation of mechanical energy. And the form that you're starting with initially is the um spring potential stored in the spring. And that's an amount one half K. X. Squared. And the final state of energy is gravitational potential. MGH Provided you measure that h um upstairs from the low point of compression. Okay so that's just equal to MGH. Ah um Now you could just take one data point uh and solve it for the spring constant knowing all the other parameters. But of course it's better to do an experiment. So the experiment is going to have us load different masses onto the toy. Um And for each mass you're going to somehow determine how high the toy grows with that mass loaded on there. And a way to do that is you would want to um put a ruler a meter stick, ruler depends how high it goes behind the toy and perhaps record with your phone so that you can go look at the videos later and catch at what marking the mass rose. And you can play through those videos slowly so you can see what that marking is more clearly. Um But in any event let's suppose you do that experiment and you gathered some data. Um So I'll share some data. Um But what you would like to do is to make a plot of some sort in order to make a straight line and determine the spring constant from the slope of that line. So let's see in your experiment will say that you're controlled variable is the mass that you're loading on. So that's what's called the independent variable. Um And H. Is the dependent variable. It's the result of the experiment. Um So you basically want to get H. As a function of em. And so let's divide both sides of that equation by M. M. I. G. And you get Kay X squared over two MG. Is equal to age. Now that won't make a very good straight line. Um Remember you're holding the x. constant and of course G is just 9.8. Um But because amazon the denominator that's an inverse relationship. So the plot that you actually want to make to get a straight line for your experiment would be H versus one over M. Uh And then we expect as the mass gets larger the height will get smaller and vice versa and we would expect a nice straight line relationship. Um So I'm going to share a table of data and I've made the corresponding plot of the height versus one over the load mass. And let's see uh what we get from that, I'll share that. Right? And I've grafted using Excel, I do like Excel. Yeah. Uh And if you don't have Excel, one of the things you can do is use google sheets, which is freeware if you have uh Uh huh. A google account um you should be able to use google sheets. So indeed when I plot the height in meters vs. One over the mass and inverse kilograms. Indeed, there's a straight line um the data table is shown above. Um And what I can do with Excel, which you can also do my hand is I can fit what's called the best fit straight line, which tries to get as close to as much of the data points as it can. So some of the data will fall a little bit below the line and some a little bit above the line. Um I actually forced my graph to go through 00 as well. Um So that is one of the other points on there. And I find that my slope is 0.0101 with units of meters um per Uh one over kg, so that's a little bit cumbersome. Okay, but the slope From my graph is 0.0101 beaters times kilograms, we'll call it that's meters times kilograms. Um And now we want to solve this for the spring constant, but we can see that in the formula above the quantities that make up the slope, R k, X squared and to G. And that has to equal 0.0101 um giving us the K and S. I. Units. Um So we simply have to cross multiply and know what the initial compression was. So let's say we were starting with the compression of .02 m and we tried to control that, that should not have been too hard to do. Um And so we can solve for that unknown spring constant from slope um and X squared and twice times 9.8. And because everything is in units of S. I meters, kilograms and seconds, the units for k should be newtons per meter. Um and putting all that together, let's see what we get. Uh huh. It looks like it's going to be surprisingly large, surprisingly stiff um spring constant And I'm getting about close to 500 newtons per meter. Um I'll write it down with all its decimal Figures for 95 Newtons Per meter. Probably not that precise, but um very close to 500 newtons per meter, so it's a pretty stiff spring. And if you've ever tried to punch these little toys down, that may not be too surprising.

Okay, so I actually learned something new today. Apparently, there's a formula that kind of tells you when a fledgling bird is going to be able to fly on its own. And it's the ratio of two functions of time, one of which kind of gives an indication for how long their wings are and the other one is their body mass. Okay, so whenever these ratios kind of approach one, whenever FFT approaches one thing, the fledging fledgling is able to fly on its own. You didn't know all this question is asking us to do is to interpret the physical meaning behind those and described the units associated with them. Okay, so the 1st 2 shouldn't be too difficult, right? Because M prime of tear is the time derivative. It's the time derivative of em of tea. It's a rate of change. It's how fast this function changes with respect to time. And since we're given that the average body mass is measured in grams, this is gonna be essentially grams per per unit time and that the time is in weeks, by the way, since grams per weeks and just like I said, ah, the interpretation of physical meaning is how fast the body mass is changing with respect to time. It's the rate of change of body mats. Okay, for w prime of tea, that's again the time derivative of W T. Which is the length of the wings. And since they said that wing length was gonna be measured in millimeters, this rate of change is millimeters per week. And again, it's just how fast the length of the ones you're changing F prime of tea has to have special analysis because, um, f prime of TIA is the time derivative of f of tear. But f of tia is the ratio. Oh, the length of the wings and the average body mass. These air two functions that change. So we actually do have to use the quotient rule, which is lo de I minus high. Do you low swearing the bottom and we're gonna determine the units of this function As far as a physical meeting goes out, I said half of Tia as FFT approaches one, then the fledgling is gonna be more able to fly. This is a rate of change of that. So if this is a really, really positive number, then it's going to rapidly go towards, and it's gonna take a lot less time for to be able to fly. Maybe it's some sort of growth spurt. So all that remains to do is to find the units of this I'm of Tia. Ah was measured in grams w prime of tea we said was millimeters per week. Okay, W of tea waas um millimeters and M prime of tea is grams per week, divided by AM of T squared M of T is measured in grants. This is just grams squared. Okay, so we have a grams times of millimeters minus of grams, times of millimeters, all divided by a week. Okay, so this is gonna be some sort of of grams times millimeters. We don't know. Of course you know how exactly these variables are changing, so they're obviously not gonna be the same necessarily. So when you subtract two things that are like each other, you're gonna get something else that's like each but that's like those two things. So this is gonna be some grams millimeters divided by weeks, all divided by Graham Sward, which is gonna be grams times, millimeters times, weeks times one over. Graham squared. One of these grams cancels with one of those, and then we're left with millimeters Her grands week. Here we go.

First one. The test for a unit root in series you rate unemployment rate using the usual dickey fuller test with a constant yeah. And the augmented dickey fuller with two legs of change of unemployment rate. I find that seven both times we are unable to reject the now hypothesis that unemployment rate series is a unit fruit. The legs are not significant. However, the significance of the legs matters. So the outcome of the unit root test, we will repeat what we have done in part one two series vacancy rate and report the result in part two. I guess similar result. So the rate is a unit root. Well part one and two. I use package the R. Package A. T. S. A. And the function is a D. F. Dot test. R. Three. We assuming that unemployment rate and vacation re rate are both integrated of level one. We test for co integration using the angle grandeur test with no legs. So the step the steps are as follow. We first regress, you read on the rate then we yet the residual and we run the key fuller has on the residual to see whether the residuals our unit root. I find that you're right and we rate Arco integrated at the 5% level. Yeah Heart Forest. I get the leads and lacks estimator of the change in vacancy rate and I did note that uh CB rates up minus one. This is for the lack and plus one is for the lead. This is a regression result. So the usual centered errors are in green and in round brackets, the robots that Iran's are in blue and in square brackets you can see that the main estimate on vacancy rate is highly significant. This one is not correct. So the centered errol the usual one for the estimate of the first lack of change in vacancy rate is 164 In all cases except for the estimate of the lead of C. V. Right. The robust standard Iran's are larger than the usual standard errors. This is usually the case it happens but rare that the robot standard errors are smaller than the usual standard errors. The r square of this regression is 0.77 So for the rate, because the robot standard error is larger than the usual standard error. So we will get a wider confidence interval if we use a robot standard error and for confidence interval you will run this function in our count in and you impose the name of the regression. It was spits all the 95% confidence intervals for all explanatory variables. The default version is the 95% interval. But because the standard barrel of this estimate is are very close, two versions are very close to each other so the confidence intervals should be roughly equal. Yeah. Last part. What you could say about real business of the claim that you rate and the rate are co integrated. Yeah. When I run the test and good grandeur, the results are not consistent across alternative types of process. In one case I can reject the notion that the residuals are united and for all the cases I cannot reject. So I conclude that the claim that you rate and be rate our co integrated is not robust.


Similar Solved Questions

5 answers
Point)Find particular solution to the nonhomogeneous differentia equation101help (formulas)Find the most general solution to the associated homogeneous dilferentlal equation Use C1 and C your answer denote arbitrary constants, and enter them 35 c1 and 02.help (formulas}Find ihe most general solution to the original nonhomogeneous differential equation Use andyour answer denote arbitrary constants _help (formulas)Note: You can eam partial creait on this problem
point) Find particular solution to the nonhomogeneous differentia equation 101 help (formulas) Find the most general solution to the associated homogeneous dilferentlal equation Use C1 and C your answer denote arbitrary constants, and enter them 35 c1 and 02. help (formulas} Find ihe most general so...
5 answers
5 pts) Represente 1+ dc comc serie de potencias. ;Cual es Su radio de convergencia?(8 pts) Utilice el resultado de la parte a. para estinar ertor menor O.OJOOOCDOOO5dx con 10 cifras decimales 1+27SCa, COI
5 pts) Represente 1+ dc comc serie de potencias. ;Cual es Su radio de convergencia? (8 pts) Utilice el resultado de la parte a. para estinar ertor menor O.OJOOOCDOOO5 dx con 10 cifras decimales 1+27 SCa, COI...
5 answers
Question 194 ptsChoose the best definition to match each termGram-positive and Gram-negativeChoose ]MagnetosomeChoose ]CapsuleChoose ]PeptidoglycanChoose Cell wall types in the Domain Archaea Cellular feature that acts like compass Cell wall types in the Domain Bacteria Mucilaginous protective coating The defining molecule in Bacteria Not found in Archaea_
Question 19 4 pts Choose the best definition to match each term Gram-positive and Gram-negative Choose ] Magnetosome Choose ] Capsule Choose ] Peptidoglycan Choose Cell wall types in the Domain Archaea Cellular feature that acts like compass Cell wall types in the Domain Bacteria Mucilaginous protec...
5 answers
Instructions: Solve the following four problems using Matlab [10 points] Solve the,following homework problem: Write function that calculates the determinant of & 3x3 matrix by using the formula 422 423 021 023 021 022 det(A) = 411 412 +013 1432 Q33 431 Q33 031 0324 You are required to use subfunction that calculates the 2x2 determinants Do not use the built-in function det
Instructions: Solve the following four problems using Matlab [10 points] Solve the,following homework problem: Write function that calculates the determinant of & 3x3 matrix by using the formula 422 423 021 023 021 022 det(A) = 411 412 +013 1432 Q33 431 Q33 031 0324 You are required to use...
5 answers
You have a speaker at a sound level of 90.0 dB (that's an intensity of 0.001 W/m2) What is the sound level if you double the volume (that is, double the intensity)?First significant figure of answer: 90.0 dB Answer to 3 significant figure
You have a speaker at a sound level of 90.0 dB (that's an intensity of 0.001 W/m2) What is the sound level if you double the volume (that is, double the intensity)? First significant figure of answer: 90.0 dB Answer to 3 significant figure...
5 answers
Find the volume of the solid that results from rotating the region bounded by the graphs of y= 1x-3 r=o and y =0 about the y-axis_ Round to decimal place (Drawing below not to scale)Find the volume of the solid that results from rotating the region bounded by the graphs of "=3r+7"=0 and x 2 about the X-axis Round t0 decimal place.
Find the volume of the solid that results from rotating the region bounded by the graphs of y= 1x-3 r=o and y =0 about the y-axis_ Round to decimal place (Drawing below not to scale) Find the volume of the solid that results from rotating the region bounded by the graphs of "=3r+7"=0 and...
5 answers
The (ollowing table contains the total monthly MICOME and expenditure of houricholdy comunINEHouichold Iucome (thousands dollars) Expenditure (thousardv of dollars)Writorcolouietic InGbluTexpet hLuthhip' btuen hotbehokl eXp uditI e I?uuk |Fe Htee atinehip' butneAnlommtb Intm [IKimaI16 matklMneaEKlatattntuuA#"Kee en-
The (ollowing table contains the total monthly MICOME and expenditure of houricholdy comunINE Houichold Iucome (thousands dollars) Expenditure (thousardv of dollars) Writo rcolouietic InGblu T expet hLuthhip' btuen hotbehokl eXp uditI e I?uuk | Fe Htee atinehip' butne Anl ommtb Intm [I Ki...
5 answers
Part BAsolution has [Hy0 | =4.6x10-5 M . Use the ion product conslant of waterKw = [H;OtI[OH-|to find the [OH-] of the solulion: Express your answcr to two slgnlilcant flgures_ Vlew Avallatlie Hint(s)Azd[OH ] =RSISubmlt
Part B Asolution has [Hy0 | =4.6x10-5 M . Use the ion product conslant of water Kw = [H;OtI[OH-| to find the [OH-] of the solulion: Express your answcr to two slgnlilcant flgures_ Vlew Avallatlie Hint(s) Azd [OH ] = RSI Submlt...
1 answers
For the guide of Problem $13.14$, and at the $32 \mathrm{GHz}$ frequency, determine the difference between the group delays of the highest-order mode (TE or TM) and the TEM mode. Assume a propagation distance of $10 \mathrm{~cm}$.
For the guide of Problem $13.14$, and at the $32 \mathrm{GHz}$ frequency, determine the difference between the group delays of the highest-order mode (TE or TM) and the TEM mode. Assume a propagation distance of $10 \mathrm{~cm}$....
1 answers
A system has a damping ratio of $0.5,$ a natural frequency of $100 \mathrm{rad} / \mathrm{s}$. and de gain of $1 .$ Find the response of the system to a unit step input.
A system has a damping ratio of $0.5,$ a natural frequency of $100 \mathrm{rad} / \mathrm{s}$. and de gain of $1 .$ Find the response of the system to a unit step input....
4 answers
Determine whether the following vector field is conservative on R? . If s0, determine the potential functionF= (y- 32,X + 32,3X+3y)Select the correct choice below and if necessary, fill in the answer box to complete your choice0A: is conservative 0n R? The potential function is m(X,y,2) = (Use C as the arbitrary constant) 0 B. is not conservative on R3
Determine whether the following vector field is conservative on R? . If s0, determine the potential function F= (y- 32,X + 32,3X+3y) Select the correct choice below and if necessary, fill in the answer box to complete your choice 0A: is conservative 0n R? The potential function is m(X,y,2) = (Use C ...
5 answers
Test the null hypothesis that share of people having loan inGeorgia is less or equal to 70%. To test this claim, a randomsample of 400 individuals were analyzed and 288 of them had a loan.Find the p-value for this one sided hypothesis. Round your answerto the nearest hundredth and write in the following format e.g.0.28
Test the null hypothesis that share of people having loan in Georgia is less or equal to 70%. To test this claim, a random sample of 400 individuals were analyzed and 288 of them had a loan. Find the p-value for this one sided hypothesis. Round your answer to the nearest hundredth and write in the f...
5 answers
8588 5 Intemot usors aru mofe cafelul aboJt parson 0l inlarmualon Khen 43n] public Wi-Fi holspol Whal Ihe pobabilty Inal an ong thrco Based 0n @ PolL rndony Eolaclod Iniornet utore; al Ioast cna curolul abou partenalnlorhtion Wia n ueinq public W-FI Thotspot? How is the result afloctod bY the additional inlorton Ihat gunto ' eubloclyvomnie efed respond?MobabIy Uant nt lonet onu (Round5 tnroo dccimalELCRcnutul nboul Dntonnicnulon naedad '
8588 5 Intemot usors aru mofe cafelul aboJt parson 0l inlarmualon Khen 43n] public Wi-Fi holspol Whal Ihe pobabilty Inal an ong thrco Based 0n @ PolL rndony Eolaclod Iniornet utore; al Ioast cna curolul abou partenalnlorhtion Wia n ueinq public W-FI Thotspot? How is the result afloctod bY the addit...
5 answers
Ch: 9.3 pgs 494-495 #s 22,,30,56,62,64 Problems !5-22 refer t the funxction f shown in the figure: Use the graph to estimate the indicated function values angl limnitssFigure for 15-2222. (A) Jigg-Kx) (B) Hong_Nec) (C) lim;f(x) (3 50} (E) Is f continuous at x = -[?Explamn:
Ch: 9.3 pgs 494-495 #s 22,,30,56,62,64 Problems !5-22 refer t the funxction f shown in the figure: Use the graph to estimate the indicated function values angl limnitss Figure for 15-22 22. (A) Jigg-Kx) (B) Hong_Nec) (C) lim;f(x) (3 50} (E) Is f continuous at x = -[?Explamn:...
5 answers
17. (7 pts) Consider the reaetion 24 2C +D + 24.0 KJ with energy of activation of 53.0 KJ: What is the frequency factor for the reaetion 2 € + D _2 ^ + B With rale constant value of0.185 i,mol 'min' a 27 "C
17. (7 pts) Consider the reaetion 24 2C +D + 24.0 KJ with energy of activation of 53.0 KJ: What is the frequency factor for the reaetion 2 € + D _2 ^ + B With rale constant value of0.185 i,mol 'min' a 27 "C...
5 answers
13) A hypothesls test is emploved to test if the overall percentage that Is equal to 60%. A random favor e raising sample of 440 includes 5S% that favor the minimum wage value of the test statistic ralsing the minimum wage. Find the 4)2.11 6) 2.14 c1-211 d) 1.96 e)-2.1414) Find the P-Value of the hypothesis test described In 13) above a) 0179 6) .0162 9838 d) .0324 e) .0358
13) A hypothesls test is emploved to test if the overall percentage that Is equal to 60%. A random favor e raising sample of 440 includes 5S% that favor the minimum wage value of the test statistic ralsing the minimum wage. Find the 4)2.11 6) 2.14 c1-211 d) 1.96 e)-2.14 14) Find the P-Value of the ...

-- 0.021420--