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two students have examined the scatter plot shown and have created a line of best fit for the data . student a believes that the line of best fit for the data is y=-2x+24, wow student B believes that the line of the best fit for the data is y =1.5x+23. determine which student created a better line of best fit given the data in the graph. justify your answer using mathematics

two students have examined the scatter plot shown and have created a line of best fit for the data student a believes that the line of best fit for the data is class=

Respuesta :

Pick any two points on the graph

We use the points (0,23) and (5,14)

[tex]\begin{gathered} \text{Slope}=\frac{Change\text{ in y}}{\text{Change in x}} \\ =\frac{14-23}{5-0} \\ =-\frac{9}{5} \\ =-1.8 \end{gathered}[/tex]

Since the slope is negative, we conclude that the line of best fit is:

[tex]y=-2x+24[/tex]

Since the other line y=1.5x+24 has a positive slope.

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