Regression Definition and 324 Threads

Hi all, Hi all, hope this is not too simple; please feel free to give me a reference if this is so. I want to know how to address having "insignificant" coefficients in my regression: I just did a multilinear regression returning ## y=a_1x_1+...+a_kx_k ## In the resulting analysis, two of...

So I am currently learning some regression techniques for my research and have been reading a text that describes linear regression in terms of basis functions. I got linear basis functions down and no exactly how to get there because I saw this a lot in my undergrad basically, in matrix...

Hello, I remember an example of application of the logistic regression to medicine / epidemiology, which said (more or less) that the probability of a person having miocardial infarction was related to some variables such as age, cholesterol level, etc, and the equation included the various...

Homework Statement Suppose that we observe ##i=1,2,\ldots,n## independent observations that can be modeled as follows: $$Y_i = i(\theta+\epsilon_i) \quad \text{where} \; \; \epsilon_i \sim N(0,\sigma^2).$$ 1. Write the above as a regression model, ##E(Y) = X\theta##, ##\text{Cov}(Y) =...

Hello! I am yet very weak in statistics, but I am learning some basic finance, and this requires to create regression. Please, take a look at attached files - one excel that contains the results of regression and one screen shot of the window of StatPlus that I have to fill in. Before using my...

I want to try to predict the USA summer highs using a linear regression. I know I can probably take data from the last 10 summers and plug that in, and use that to predict, but I'd like to use two data sources. 1 data source from the historical highs from past summers in the USA, and the 2nd...

Hi all, I have a nonlinear equation of the form: \frac{TP_x}{TP_R} = c_0 + c_1 U_R^n + c_2 \frac{T_R^2}{\sqrt{U_R}} This equation describes the relationship between tidal parameters and river discharge (velocity) in tidal rivers derived from the 1-D St. Venant equations. TPx is some tidal...

Hi everyone, I am looking at an interesting problem at work, and I would like to hear your opinion about it, please. I'll try to explain it as concisely as I can. We took about 2500 chemical compounds and we tested them in some 'phenotypic assays'. The assays give as output an activity value...

I just need a little assistance on the last two questions. I place per capita and death in L1 and L2 but I am lost. Country Per Capita Cigarette Consumption 3900...

Hi guys, I did a few sets of test in determining the natural frequency of a crane lifting loads. From that, I tried to find two constant from its initial function. a is the stiffness of the pole that was holding the crane b is the weight of the crane x is the weight of the load The tests...

Homework Statement I'm being asked to compare the standard deviation of a data set with the root mean square error of the regression line used to model the data, in order to determine the reliability of the regression line. Homework Equations Mean squared error = variance + bias squared The...

Homework Statement Restaurant Reservations for a given week were: Monday - 34 Tuesday - 27 (minimum value) Wednesday - 33 Thursday - 47 Friday - 58 Saturday - 61 (maximum value) Sunday - 42 Homework Equations I don't think you need these equations to help me solve what I'm stuck on Amplitude...

Hi All, Say we conduct a standard linear regression test of Y (dep) versus X (independent) Then there are tests to be made on whether there is a linear relationship between Y and X (with ##H_o ## being that m=0; m is the regression line slope versus ##H_A :m \neq 0 ##) Is there a similar test...

Hello all I am forced to get famiilar with this topic quickly and I am struggling with the following after reading it in a paper. Can someone help with the underlined ones. I also have a follow up question which I will introduce after this. From the paper...

How do I determine the regression equation when not much information is given? For example: Given the following equations: 2x + y = 13 2x + 5y = 20, which one is the regression equation of y on x?

Two normal equations are given : 5a + 10b = 40 10a + 25b = 95 What is the regression line of y on x? I can easily find the common points from both the equations but how do I find the regression coefficeint?

Homework Statement note a linear regression model with the response variable Y=(Y1..Yn) on a predictor variable X=(X1..Xn). the least squares estimates of the intercept and slope a(hat) and B(hat) are the values that minimize the function: (see attached image) and the problem reads on further...

I have two TI84 calculators. I entered the following data into L1 and L2 and tried to do a linear regression. My friend also had a TI84 and entered the same data into his calculator. We checked, double checked, and triple checked to see that the data was the same in all three calculators. Here...

This isn't a precise homework question, but this seemed like the most reasonable place to post. If not, please feel free to move it. I have a large set of data points that should fit to a known equation (the Drude-Smith model for conductivity) The equation the data should fit to is: σ(ω) =...

Hello, I have an experiment that I'm trying to conduct where I measure quantity A and normalize by quantity B. I then want to report normalized quantity A with error bars showing standard deviation. Quantity B is obtained via a standard curve that I generated (8 data points measured once each...

Hi All, I am thinking of the issue of diminishing returns re linear regression. Can it be determined/decided from the data itself, or is it decided just from the context? I was thinking of examples like that of grade vs daily study hours or (height )jump length vs year ( winner heights have...

Hi, Say we collect data points ##(x_i,y_j)## to do a linear regression, but so that for each ##x_i ## we collect values ##y_{i1}, y_{i2},...,y_{ij} ## . Is there a standard way of doing linear regression with this type of dataset? Would we, e.g., average the ##y_{ij}## abd define it to be ##...

It is my understanding that you can use linear least squares to fit a plethora of different functions (quadratic, cubic, quartic etc). The requirement of linearity applies to the coefficients (i.e B in (y-Bx)^2). It seems to me that I can find a solution such that a coefficient b_i^2=c_i, in...

I am trying to understand multivariate linear regression. I have a list of time that it took running processes based on several params, like % of cpu usage, and data read. Eg, I have a process that took 50 seconds to run, with a cpu usage of 70%, and the process read 10bytes of data. I have...

Hello all, I'm calibrating a magnetometer sensor. An uncalibrated sensor will output values that will graph an ellipse. A calibrated sensor will output values that will graph a circle. Since there's data points all over the place, I'd like to find a piece of software that will take my data...

I am doing a multiple linear regression on a dataset. It is test scores. It has three highly correlated variables being income, reading score, and math score. Obviously since the test score is the sum of the math score and reading score would it be appropriate to exclude them simply based off...

I did some data analysis with excel fitting some linear, zero intercept data with trend line and the regression analysis tool. The slopes generated by the two methods were different by about 10%. The regression line seemed to be weighted differently, are these two methods different for some...

So I'm trying to identify a system that happens to be a synchronus generator via linear regression. I've got a model with the unknown coefficients A, B and C, and the measured variables I, w and T according to I(w, T) = A*T + B*w + C 1. What I fear is that I could get multiple solutions that...

I have set of date with error bars of different length on my y values. I want to know what the error is on the slope and intercept of my line of best fit through this data. Is there a numerical way to calculate this that takes into account the fit of the regression line and the y error bars?

I have come across a problem that I need to solve, and it isn't your garden variety regression problem. It isn't even covered in any of my books, of which I have many. I need either a book title or an online PDF that covers this material. Suppose we have a response variable z_1 that depends on...

I'm currently trying to determine the error on the slope of a regression line and the y-intercept. My y values are: My y error is: My x values are: 27.44535013 0.03928063 136 29.78207524 0.07836946 44 27.4482858 0.0385213 143 27.27481069...

I'd appreciate advice on the correct statistical method to analyse a dataset - Dataset is basically a titration curve consisting of [0.5, 1, 2, 3, 4, 5, 6] pg of starting material and 8 replicates in each 'pg bin'. In 'stage 1' of the process each bin is labeled separately, in 'stage 2' all...

I also made a graph which is not pictured. 1.) Calculate the least squares line. Put the equation in the form of: y-hat = a + bx. I got: y hat = 11.304 + 106.218x a.) Find correlation coefficient. Is it significant? (use the p-value to decide) I got: r = 0.913... no it...

I have some 3-D model output for a river system that is tidally forced at the entrance. Right now, I'm trying to perform some linear regression on the harmonic constants of various tidal constituents at for several locations along the river compared to the observed tidal data. A linear...

Find the equation of the regression line for the given data. then construct A SCATTER PLOT of the data and draw the regression line. (each pair of variables has a significant correlation.) then use the regression equation to predict the value of y for each of the given x- values, if meaningful...

I am doing an independent research project and I have written a logistic regression program in SAS. The percent concordance is 97%, but hardly any variables are significant. Can anyone help me understand why this would happen?

I am doing some research and running a SAS program using logistic regression. The concordance is 99%, but hardly any variables are significant. Can anyone help me understand what this means?

Homework Statement Salaries of NBA players related to average points per game: Salary = 1 500 000 + 0.9log(points), n = 150, r^2 = 0.14 1) What is a bad players salary? 2) Interpret the coefficient in front of the aggressor 3) What would be the advantages of running it in log-log form...

Homework Statement The simple regression model is y = α + βx + u, where u is the error term. If you don't include α, when is β unbiased? Homework Equations y = α + βx + u The Attempt at a Solution Not including α doesn't affect whether β is unbiased because α is a constant.

Homework Statement The number of twists ##y## required to break a certain rod is a function of the percentages ##u## and ##v## of each of two chemical components present in the rod. The following function is proposed ##y(u, v) = a_{1} + a_{2} exp(u^{2}) + a_{3}\sqrt{v} + a_{4}uv## (1) where the...

does anyone know sample codes with explanation on computing Geographically Weighted Regression using MATLAB?I am a newbie of MATLAB.

I really like the derivations here http://en.wikipedia.org/wiki/Proofs_involving_ordinary_least_squares Could some one recommend a good book for them. I'm tired of googling these equations every time I want to use them. Thanks!

Let's say a student does a simple experiment where she conducts 10 trials at each x value (at each value of the independent variable). She collects data over 30 x values, giving her 300 total trials. For each of the 30 x values, she averages the 10 y values and she calculates the standard...

Homework Statement We want to determine the coefficients of a polynomial of the form: ##p(x)=c_{1}x^2 +c_{2}x+c_{3}##The polynomial ##p(x)## must satisfy the constraint ##p(1)=1##. We would also like ##p(x)## to satisfy the following 4 constraints: ##p(−1)=5## ##p(0)=−1## ##p(2)=6##...

Hi guys, I have been tasked with the following question; The company has set a fixed budget for Period 1 of the financial year using the following figures as being 100% of the budget: Material costs £200 000 Labour costs £100 000 Variable overheads £50 000 Fixed...

Hi, I was wondering if anyone familiar with excel on a mac can help me? Am i able to do polynomial regression with different x's who contain different amounts of elements? I have three columns, one contains 252 elements, another contains 53, and the last contains 12. They are all closing...

Hi, I've been working on trying to model sales for my work and I'm really just modeling it using exponential regression, so I get the linear regression of the logarithm of the data and obtain the desired formula. What I'm confused about is that if I integrate this to try to predict how many...

This is for an experimental physics homework,I am using the latest version of MS Excel. I have a set of data, I perform linear regression on them and it gives me a line y=ax + b. Given that both a and b have physical significance I would like to know how could I know the uncertainty...

Hi guys, I have run multiple simulations on networks that are all slightly perturbed from each other. They produce slightly different curve outputs onto an x-y graph which I need to now analyse (it has been about 5 years since I did statistical analysis hence why I am here). A couple of the...

Using correlation coefficients as x in a regression?? I was reading an article in the Wall street journal and the author was using a rolling correlation coefficient, on a set of variables, as his predictor variable in a linear regression. Basically it was a uni-variate linear regression , y=...