Question

{(-5, 9), (2, 31), (9, 143), (11, 151), (0, 42), (5, 97)}Using the equation of the line of best fit, which number is the best prediction of the output when the input is 13?

Answer 1

- The equation of the line of best fit can be gotten using a graphing calculator.

- The plot and result of using the given points in a graphing calculator is given below:

- Thus, the equation of the line of best fit is:

`\begin{gathered} y=mx+b \\ \text{ Using the parameters from the result on the graphing calculator, we have:} \\ m=9.78517 \\ b=42.9544 \\ \\ \therefore y=9.78517x+42.9544 \end{gathered}`

- If the input (i.e. x) is 13, then, the best prediction according to this line of best fit is:

`\begin{gathered} y=9.78517(13)+42.9544 \\ y=170.16161\approx170 \end{gathered}`

Final Answer

The best prediction is 170