MLS_C1_W1_Gradient Descent intuition

Course Q&A Machine Learning Specialization Supervised ML: Regression and Classification
1

I an not able to understand that, how at time - 5:06 the slope is negative, like (J(w), w) as (-2, 1). Please clarify my doubt ASAP. Thank you

2

Hello @Himanshu_Kingstorm,

You might consider it this way: if we increase w from that point, then J will decrease, therefore dJ/dw is negative. Since J is decreasing, we have a negative sign in -2.

If, in another point, we increase w, and J will increase, then we say the slope is positive.

Therefore we need to think about how J will react when we increase w.

Cheers,
Raymond

3

Thank you for the clarification

4

You are welcome @Himanshu_Kingstorm!