Question

True or false? the slope for the line of best fit for this scatterplot is about -1

Answer 1

TRUE

Step-by-step explanation:

We will calculate the slope of the line of best fit as shown below:

I. Pick 2 points that lie along the graph, we have:

`\begin{gathered} \left(x_1,y_1\right)=\left(5,0.4\right) \\ \lparen x_2,y_2)=\left(2,2.9\right) \end{gathered}`

II. Calculate the slope using these 2 points, we have:

`\begin{gathered} slope,m=(y_2-y_1)/(x_2-x_1) \\ slope,m=(2.9-0.4)/(2-5) \\ slope,m=(2.5)/(-3) \\ slope,m=-(5)/(6)\text{ or }-0.83333 \\ \\ \therefore slope,m=-(5)/(6)\text{ or }-0.83333 \end{gathered}`

The slope is -5/6 (which is about -1)

Hence, the answer is TRUE