# Tagged Questions

Questions on (linear or nonlinear) regression, the fitting of functions that best approximate empirical data.

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### Two exercises from linear regression

Click for image These are the two tasks I have been thinking about for two much time. How should I even start? Vectors are not my strong side. Any help is welcomed.
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### Application of weighted least squares to a log linear equation

I am trying to fit a curve to a set of data using a weighted least squares approach. The reason I am using the weighted approach is to bias my solution to my more reliable data. I am however having a ...
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### How do I calculate regression line using a data set with repeated values indicated as frequencies?

I have a data set that comprises of Independent Variable $(X)$ and Dependent Variable $(Y)$ values with a certain frequency $(F)$. I know that I have to find $x^2$ and $xy$ but how do I factor in the ...
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### How to find equation of a curve from points

I have got a curved line that I would like to find the equation of using Microsoft Excel. The curve seems to be either a polynomial or some sort of a trig graph. I've done some research and looked at ...
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### How to interpret parameter in proportional hazard model?

How can I show that $b$ in this proportional hazard model $y=1-x^{e^{bz}}$ is the percent change in $y$ with a unit change in $z$? For brevity, I have neglected to show the functional form of $x$, ...
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### Imposing non-negativity constraint on a linear regression function

Suppose I am interested in estimating the linear regression model $$Y_i = g(X_i)^T\beta + \epsilon_i$$ where $Y_i$ is a scalar outcome of interest, $X_i$ is a scalar covariate with support on the ...
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### How to interpret b in $y=x^{e^{bz}}$ in nonlinear regression?

What is the correct way to interpret b in this nonlinear equation $y=x^{e^{bz}}$? I've estimated the model and b seems to be the percent change in y with a unit change in z, but I am unsure how to ...