How to find the value of theta 0 and theta 1?

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I am new to ML, I am not sure on how to solve this problem

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Could someone tell me how to solve this problem of finding values in a a step by step manner?

4 Answers

From newcomer view point you can actually just test:

h1=0.5+0.5x

h2=0+0.5x

h3=0.5+0x

h4=1+0.5x

h5=1+x

Then which one of the hs(1..5) gives exact observed values of y(0.5,1,2,0) for a given set of dependent variables x(1,2,4,0).

You can answer that by passing sample values of x in the above equation. I hope i made it simple enough

My approach would be to view these points by plotting a graph with x,y values. Since it's a straight line, calculate tan(theta) using normal trigonometry, which in this case is y/x(Since it's mentioned they fit perfectly!!). eg:- tan(theta1) = 0.5/1 or 1/2

Calculate arctan(1/2) // Approx 0.5

Note:- This is not a scalable approach but just some maths fun! Sorry.

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