Fit Definition and 368 Threads

hi, this might be a stupid question. if so, bear with me. i've been using the following equation in my coursework (basic chemistry): Q = m c ΔT where, of course m = mass c = specific heat capacity ΔT = change in temperature (°C) Q, as i understand it, is simply the quantity...

Hello all, My question is really simple. I really like working on problems that involve Nonlinear Dynamics and Chaos, and I also really enjoy fields of Theoretical Physics that probe the nature of reality (quantum mechanics, high energy & elementary particle physics, string theory, etc.) I...

Hi all. I need some advice in a project I'm into. I have some experimental (simulation) data and i need to find a function that fits to it. The experimental data behaviour change when I modify some parameters I have. My goal is, from that single function, been able to predict how the...

Homework Statement A mathematical model for temperature T as a function of depth y (in m) and time t (in days) is: (T(y,t)-T0)/(Tsurf(t)-T0)=e^(-y2/4αt) (2)where Tsurf(t) is the water temperature of the lake surface at time t, α is a property called the “eddy thermal diffusivity” and T0...

Given the data points (-1,2) (0,1) and (3,-4), you want to fit the best straight line, y=mx + b, through these points. given that m = -20/13, find the value of b that minimizes the error E = Ʃ ("N" on top, "i=1" on bottom) (MXi + B - Yi)^2. This was on a test I just took for calc 1. I did the...

Homework Statement Hello all, So I am working on my engineering project, and my professor told us to play with the graphs,and try to find something interesting about them. So what I want to do is form a better fit for the figure below. " figure 2b" , and find out why the choose not to...

Hello, Suppose, 1. I have a function f=C1 + C2/((C3-X)^C4); where Cn is a constant; I'm looking at the Havriliak-Negami equation which has some 5 constants. 2. I have a data set whose least-squares fit looks like a curve, How can I compute the values of the function's parameters C1 to...

A truck with a width of 2,40 and height of 3,41 is driving through a tunnel that is formed like a half circle and has the radius of 3,60. Will it work? Now, this is a very pathetic question because this is junior high level geometry. I could blame the incapacity to solve this question on...

1. If you had 10, 50, 20, 30, and 60 KB in order and wanted to work with these incoming processes 21, 47, 5, 45 KB find the best fit. 3. I know how to do 21 and 5 but for 47 and 45 I'm confused. Best fit says to produce the smallest left over hole. So, would I put 47 in 60 because it's...

How do I size a hydraulic motor to fit a 12" propeller to move water? I have a 35 HP diesel motor direct driving a hydraulic pump producing 16 GPM at 2000 psi. The hydraulic pump would be connected with hoses to a water pump inserted in a pipe. I want to design/build a water pump using a...

Hi everyone, I have a plot of some data points that have error bars on the y axis. A bit of software I am using gives me the best fit gradient and a "Standard Error", but it doesn't take the size of error bars into consideration. I'm assuming that it just looks at how well the gradient...

See attached PDF for details: How do I calculate errors on the fit parameters, p?

The equation of interest is: A=B*V^n where A has units of W/(m^2*K) W=watt, K=kelvin, m=meter V has units of m/s. B and n are parameters to be determined.I have a set of values that I put into excel to generate a plot. From the plot, I fit a power trendline to it and got the equation to be...

I'm new in design and I'm designing a plastic piece where I want to fit a ball bearing. The outer diameter of the ball bearing is 10 mm. If I want to fit it in the plastic. What measure I've to use in the plastic hole? 11 mm?

Homework Statement Hello. My problem is that I need to learn how to use computer software this semester. My teacher said, go and figure out how to use any computer software you like to make graphs. I have Mathematica but I am not proficient in using it, could somebody please help me with...

I have a pretty simple math problem that has been giving me the biggest headache. So what I need to do is optimize the space that I am using. Thus I have a piece that can be seen like a 20 inch in diameter cylinder that is 6 inches tall. I would like to be able to break it into as few pieces as...

Homework Statement A particle performs SHM of amplitude A along a straight line. When it is at a distance (√3/2)A from the mean position, its kinetic energy gets increased by an amount (0.5)mω2A2 due to an impulsive force. Then its new amplitude becomes? Homework Equations The basic idea...

in ℝn what is the largest n-dimensional box that can fit into the (n-1) sphere

I am looking for any program which would allow me to do one of the following: 1) Freedraw a graph and have a set number of samples taken from that graph and create a spreadsheet (x-y) 2) Freedraw a graph and have a best fit equation made 3) Given x-y arrays, create a best fit equation...

Hi friends. I want to fit my x datas and y datas with a function in the most exact way.my data is: x=[0.3 0.5 0.7 0.9 1 1.3 1.4 1.5 2 3 5 7 9 10 30 50 70 90 100]; y=[13.4347 8.3372 6.3107 5.27 4.93 4.28 4.14 4.0199 3.6349 3.3178 3.1282 3.0691 3.0432 3.0354 3.0043 3.0016 3.0008 3.0005...

First off, this is NOT a homework question! That is, I'm not doing this for any course. So then, here's the question: I have some data points to which I fit a sinusoidal curve. I get the best (min) chi-square. Now, the question becomes how good a fit is my sinusoid? I was thinking that I...

Homework Statement Problem number 3 is the one I have the issue with. I attached it as a PDF file. Homework Equations Looking through my textbook, the equations that I think are relevant are: P=Eδ/2b[((c^2-b^2)(b^2-a^2)/(2b^2(c^2-a^2))] I am assuming the hub and the pipe are the...

On Math-Atlas, where does "regular" Algebra fit in? Where on the Math-Atlas does Algebra I and Algebra II fit? Should I assume "Algebra I and Algebra II" are essentially generalized, introductory courses that cover a subset of branches under the "Abstract Algebra" branch? I'm starting school...

Hi I used plot digitizer software to pull data points off a picture of a graph and i need to fit a line to the points (and get an equation for the line). I know the data points fit to an s-curve from the picture. I'm thinking excel doesn't do this, or maybe I missed it? I have access to maple...

I am fitting data to a parabolic equation using the least squares fit method. Each data point that goes into the fit is the average of 5 data points at that x value, so that each point has error bars that come from the standard deviation of those 5 y values. I have a fitted equation, and I...

Homework Statement Given is a set of measurements with their respective errors for example an energy spectrum. In gnuplot one is to fit a function f(x;\{p_i\}) depending on a variable x and on fit parameters p_i. When the fit is done one gets values for the p_i with errors and a correlation...

Hi I am struggling with a problem here. I have 6 data points, and I have found the solution of a model which I believe should describe the behavior of the data. Now I am trying to fit the parameters of the solution to the 6 data points. The model contains 5 degrees of freedom, all of which...

Homework Statement Construct a plot of T versus \sqrt{m}. Fit a straight line through your data and use Eq. (3.2.3) to obtain the spring constant k from the slope, as well as an uncertainty estimate for k. T is the period of an inertial balance with various masses of mass m. Periods are...

Ok so i can't decide between civil engineering, mechanical engineering, and aerospace engineering. what things about you and what interests you helps to figure out which is the best fit for what you want? also a little bit of info on each one would be helpful as well ty.

Background: I am working with pump curves in a hydraulic model. The model is written on excel. In the model pump curves are defined using tested flows vs. dynamic head (ft). The problem I am having is an iterative solution to fit an equation to the data points. Once the first equation is fit...

Hi. I have aluminium tube (Alloy 6063T6 ) 1 1/2 inch outside diameter 1/4wt. I need to turn inside of this tube to take a 30mm outside diameter suspension bush interference fit . Is there a standard calculation for the diameter of 'receiving' holes for interference fit bushes?

I have a steel component ∅37mm (O.D.) and looking for material/guidelines on a loose tolerance for the housing surrounding it. It needs to be able to fall straight through if held up vertically, easily insertable by hand, while still providing enough axial stability. What's a good diameter for...

Hello, I have a set of data on an x-y plot in Matlab and I'm trying to calculate the Gaussian distribution of best fit, I only want the right hand side of the Gaussian. I tried applying the least squares method but it gets messy. can you help me?

The jar has a radius of 6" and a height of 24" and each ball has a radius of 1". So I found the volume of the jar which is \pi6^{2}(24) = \approx 2,714.33605 and the volume of the balls which is \frac{4}{3}\pi1^{3} = \approx 4.1887902 And then I divided how many of the balls can go into the...

Hi. For testing exponential distribution we can use several goodness of fit tests like Shapiro-Wilk etc.Can we use this tests for poisson distribution as well or for poisson discrete distribution different tests are generally used? Can you mention some of them pls? Regards

I couldn't get these lines from my book. I will reproduce it here. Warning: In step 1, if you use computer to fit a polynomial to the data , it could lead to disaster. For example, consider fitting a sixth degree polynomial to the seven data points, or, an (n-1) degree polynomial to n...

The main problem is that I have no idea what I am doing. But second to that I am attempting to fit a curve to some data using the equation y = ((1/A(x-B)^(C+1))+D)^-1 if that makes sense I need to get the values for A,B,C and D and so have been looking into lsqnonlin but I am having...

I'm using a predefinied program... but I don't know because give me this error: Clear["Global`*"] Remove["Global`*"] << "ErrorBarPlots`" xdata = {180, 200, 220, 240, 260, 280, 300, 320, 340, 360} {180, 200, 220, 240, 260, 280, 300, 320, 340, 360} ax = First[xdata] 180...

When you have lots and lots to learn, how do you handle it all? Do you have a specific schedule that you stick to or are you more flexible? What works best for you? When you burn out, what do you do? How do you fit in everything? (thank you)

Hi everyone, I'm trying to work out if my calculator (Casio FX-911ES PLUS) is allowed in my uni exams but I'm a noob to calculators (I'm on a foundation course!) Here's the description of allowed calculators: "students are allowed to use noiseless, non-mains, single-line display...

Homework Statement The Attempt at a Solution For Part A) I did the normal best fit straight line stuff, A^τAX=bA^τ etc, resulting in: y= 31/26x -8/3 Now part B) is where I need a hand, I started with just cubing, squaring etc the terms given and doing row ops, which is where I'm at...

Hey everyone, Recently I've been looking into buying a tablet that would best fit my specifications. I thought this would be the best place to poke around and get more expertise opinions. Basically I would be using the tablet for various things; notes, homework, writing math/physics...

I'm so confused lately :( I want to get into a field where we integrate chips with the brain, or try to make neurons interact with engineering devices. Problem is I don't know what field fits best. Which would you recommend me, based on experience? Medical engineering seems like the ideal...

I have some experimental data of a simple RC circuit, which I measured in fixed time intervals the current through an microamperimeter, and now I need to make an i(t) × t graph, with the vertical axis on a logarithmic scale (so my points fall into a 'straight' line), and then I need to find the...

Hi guys, So I'm writing up a physics lab and I have a bunch of data points. All of these data points have both x and y error bars. The relationship between x and y is linear and so I've made a line of best fit using Python passing through the data. Now the slope of that line of best fit...

That is, conscious decisions are said to be regulated by the prefrontal cortex, whereas inherited reactions (fear of snakes, etc.) are more regulated by the hypothalamus and the amygdala. (Yes, I am aware that this is something of a simplification, but this is valid enough for my question, I...

(The usual format doesn't really fit this question, so I hope you won't mind if I set it up slightly differently) The task is to make a Fortran program that will read in a given set of data from a file, stopping when it reaches the end, and calculate the gradient and intercept of a best fit...

Why is \chi^2 / \mathrm{ndf} (number of degrees of freedom) close to one mean that a fit is a good fit?I have had this question for a long time, and now I'm currently in a lab where the instructor and TA's love to see you talk about \chi ^2 -- so it's killing me! All I have ever heard is that it...

Hi folks, I am currently working on a project involving an unknown crystal sample. I have now identified the sample but I would like to quantify my findings by considering how well the structure I have determined fits other known structures. I have already ruled out fitting atomic positions...

OK, so I've gained a bit of weight over the winter :redface:. I need to lose about 7 pounds. I thought I'd start a thread, with two goals. First, as a way to keep me on track - nothing like a good old-fashioned public shaming to change one's behavior, haha. Second, if there are others...