Question

An equation of the line of best fit for a data set is y=0.23x+6.72 . Describe what happens to the line of best fit when each y-value in the data set increases by 3.

Answer 1

We got the line of Equation with given condition is

`slope(m) = 0.23,\ & intercept (c)= 3.72.`

Explanation:

Given that,

An Equation of line
`y=0.23x\ + 6.72`.

From the Question,

⇒
`y=0.23x\ + 6.72` .........................(1)

It is a line of Equation of slope intercept form :
`y=mx\ + c`

m → slope of line

c → intercept on y-axis.

So, From equation (1) we get

`slope (m)= 0.23\\intercept \ on\ y-axis (c) = 6.72`

Now, When y-value in the data set is increased by
`3` we find,

Then Forming An equation of line with give situation:-

⇒
`y+3=0.23x+6.72`

⇒
`y=0.23x+6.72-3`

⇒
`y=0.23x+3.72`

Hence,

We got the line of Equation with given condition is

`slope(m) = 0.23,\ & intercept (c)= 3.72.`