Solving LSE of y=ax+bsinx: Find a & b

  • Thread starter Thread starter peripatein
  • Start date Start date
peripatein
Messages
868
Reaction score
0
If y = ax + bsinx, how may the least square estimates of a and b be found? Please advise!
 
Physics news on Phys.org
Hey peripatein.

For this, you need to create another variable for sin(x) where z = sin(x) and do a regression on the model:

y = ax + bz + e
 

Thread 'Here's a Statistics problem for game of Polo (or Hockey if you like)'

Namaste & G'day Postulate: A strongly-knit team wins on average over a less knit one Fundamentals: - Two teams face off with 4 players each - A polo team consists of players that each have assigned to them a measure of their ability (called a "Handicap" - 10 is highest, -2 lowest) I attempted to measure close-knitness of a team in terms of standard deviation (SD) of handicaps of the players. Failure: It turns out that, more often than, a team with a higher SD wins. In my language, that...
View full post »

Thread 'Roulette wheel physics and probability'

Hi all, I've been a roulette player for more than 10 years (although I took time off here and there) and it's only now that I'm trying to understand the physics of the game. Basically my strategy in roulette is to divide the wheel roughly into two halves (let's call them A and B). My theory is that in roulette there will invariably be variance. In other words, if A comes up 5 times in a row, B will be due to come up soon. However I have been proven wrong many times, and I have seen some...
View full post »

Similar threads

A Convergence issue in this Least Squares calculation
Replies
2
Views
1K
I Plot Linear Fit w/ Error Bounds: y=ax+b
Replies
3
Views
2K
B Comparing Approaches: Linear Regression of Y on X vs X on Y
2
Replies
64
Views
5K
I Linear regression and random variables
Replies
30
Views
4K
I What is Nonlinear Least Squares in Regression Analysis?
Replies
4
Views
2K
B Trying to Understand George Boole's "Laws of Thought"
Replies
5
Views
2K
What's the hypotenuse of acosx + bsinx = c
Replies
8
Views
4K
MHB How Do You Find the MLE of Lambda in a Sum of Two Poisson Distributions?
Replies
1
Views
2K
I Fitting points z = f(x,y) to a quadratic surface
Replies
6
Views
4K
I Expected value of X~Geom(p) given X+Y=z
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top