Question

The scatterplot below shows the temperatures why, in degrees Fahrenheit that were recorded at different altitudes X and thousands of feet. Which equation represents a line of best fit for the temperatures, in degrees Fahrenheit, based on the altitude, and thousands of feet? Is the correct answer a, B, C, or D?

Answer 1

Notice that the points on the plane are ordered almost forming a straight line; therefore, we can take two points and approximate the line of best fit using them.

`\begin{gathered} (2,52),(12,20) \\ \Rightarrow y-50=(20-52)/(12-2)(x-2) \\ \Rightarrow y-50=-3.2(x-2) \\ \Rightarrow y=-3.2x+56.4 \end{gathered}`

Therefore, the best approximation among the option is the second one, y=-7/2x+59