Linear regression Definition and 109 Threads

[SOLVED] Multivariate Linear Regression With Coefficient Constraint I'm attempting a multivariate linear regression (mvlr) by method of least squares. Basically, I'm solving a matrix of the following form for \beta_p, $ \begin{bmatrix} \sum y \\ \sum x_1 y \\ \sum x_2 y \\ \sum x_3 y...

For my chemistry lab, in order to computer change in temperature for a calorimetry experiment we're suggested to take the line of best fit from the peak temperature onwards (excluding the initial data) and extrapolate to y = 0. For example, here's some of the data I gathered: A, Trial 2...

1) To test the quality of a tennis ball you drop it onto the floor from a hieght of 4 m. it rebounds to a hieght of 2 m. if the ball is in contact with the floor for 12 ms, what is the magnitude of its average acceleration during contact and is the average acceleration up or down. What i did...

My problem in short: I have a set of data, and I want to calculate the linear regression, and the uncertainty of the slope of the linear regression line, based on the uncertainties of the variables My problem in detail: My data is from an experiment and the uncertainties (errors) are...

Hi, I've got what should be a very easy simple linear regression problem, but I can't seem to be able to get my head around it. Here it is: So far I've been trying to sub these values into a regression equation like this one: Y = 5B + (-0.003)B^2 Where "B" is my Beta1 value. I...

linear regression where am i going wrong?? Linear regression using least square fit method for the determination of cocaine sample Cocaine (mg/ml) Peak height X= 2.75 Y=27377 X squared=0.9625 X x Y=3241.272 M = 10 x 3241.272 – 2.75 x 27377 / 10 x 0.9625 – 7.5625 =...

Im having some trouble with this, and I was hoping someone could help me. I have a data set from which I've determined the \widehat{a} and \widehat{b} values and determined where the line of best fit should go using linear regression. The next thing I have to do is work out the varience using...

It seems to me that Linear Regression and Linear Least Squares are often used interchangeably, but I believe there to be subtle differences between the two. From what I can tell (for simplicity let's assume the uncertainity is in y only), Linear Regression refers to the general case of fitting...

Hi, Complicated stats question, but maybe someone out there knows how to proceed. I am trying to perform regression on two variables, the samples of which have significant, but known error components. Ordinary least squares regression cannot be used as it is assumed that measurements are made...