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

Answer:

We got the line of Equation with given condition  is

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

Step-by-step 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

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