Question

PLZ HELP MEEEE 40 POINTS!

Jeanie stated that the equation of this line best fit for the scatter plot is y=1/2x+8. State whether or not you agree with her equation and why or why not in a complete sentence

Answer 1

Explanation:

We have been given that Jeanie stated that the equation of this line best fit for the scatter plot is
`y=(1)/(2)x+8`.

Let us find the slope of the line of best fit using points (2,7) and (4,6) in slope formula.

`\text{Slope}=(y_2-y_1)/(x_2-x_1)`

`\text{Slope of line of best fit}=(6-7)/(4-2)`

`\text{Slope of line of best fit}=(-1)/(2)`

We can see that slope of line of best fit is
`-(1)/(2)`.

Since the equation of a line written in slope-intercept is in form:
`y=mx+b`, where m=slope of line, b= y-intercept.

Upon substituting m=
`-(1)/(2)` and coordinates of one point in slope-intercept form of equation we will get,

`6=-(1)/(2)* 4+b`

`6=-2+b`

`6+2=-2+2+b`

`8=b`

Upon substituting m=
`-(1)/(2)` and b=8 in slope intercept form, we will get,

`y=-(1)/(2)x+8`

We can see that equation of the line of best fit is
`y=-(1)/(2)x+8`. Jeanie got 1/2 as slope of the line of best fit, which is wrong, therefore, Jeanie's equation of the line of best fit is not correct.