I am new in Linear Regression.

Could any one please tell me that is w a slope or w/1 is slope. if w/1 is slope what is the meaning of it

In the case of linear regression with a single weight/feature, then `w`

is the slope. In math, `w/1`

is equal to `w`

, so you can say `w/1`

is also the slope (because they are equal).

In the linear regression equation,

`y = wx + b`

The `w`

is the slope. It means that if `x`

changes by 1, then `y`

changes by `w`

. If `x`

changes by 2, then `y`

changes by `2*w`

, and so on.

Thanks for your reply.

I know that w/1 =w but why we are using w/1, that is why i am asking that what is the use of 1 in denominator. Is there any situation where w/2 or w/5 can be a slope because in Line equation we always learn that in y=mx+c where m is always a slope

In this particular case, `w`

= `m`

is the slope. The `w`

here is called a variable, and stores a value. The variable name `w`

does not change, and the formula with `w`

does not change, but the value of `w`

can change.

We will not rewrite `w`

into `w/2`

or `w/5`

in the formula. The formula is `y = wx + b`

, and we will never write it as `y = (w/2)x + b`

.

However, suppose the value of `w`

is 10 and `b`

is 0 for a particular regression model. If you apply those to the formula, you will have `y = 10x + 0`

or `y = 10x`

.

If we have training data that says that if `w`

is 5, the model will be a better fit, then we can change the value of `w`

to 5. The formula with the `w`

variable is still `y = wx + b`

, but when plug in the values of `w`

, you will get `y = 5x + 0`

or `y = 5x`

.