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I was following Andrew NG ML course on coursera. I was stuck at cost function.enter image description here

How can I find values for Theta-0 and Theta-1 ?

So I came to know Theta-0 as y intercept so the values must be Theta-0 = 0.5 but how can I find the value for Theta-1?

Any help is appreciated.

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  • $\begingroup$ $\theta_1$ is the slope, which can be eyeballed to be 1, since your line increases by 1 for every 1 increase in x. $\endgroup$
    – user2974951
    Dec 6, 2018 at 12:19

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Elaborating on the previous answer, now hat you have $\theta_0 = 0.5$, take any value of $x$ and the corresponding $h_\theta$ value to find $\theta_1$. For instance, using $x=1$ will yield:

$h_\theta(1) = \theta_0 + \theta_1 \times 1$

From the graphd, $h_\theta(1) = 1.5$ so that:

$\theta_0 + \theta_1 = 1.5$

$\theta_1 = 1.5 - \theta_0$

$\theta_1 = 1.5 - 0.5 = 1$

The final equation is then $h_\theta = 0.5 + x$

As said in the comment, you can also get the slope visually, noticing that if you increase $x$ by 1, $y$ also increases by 1 when you follow the slope.

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