Leonard is studying the relationship between the fuel efficiency in miles per gallon (mp3), y, and the speed in miles per hour (mph), x, of his car. He collected data for
8 different speeds and found a linear model that best fit his data: y = 18.46+0.16%. To analyze the fit of his function, he found the residuals and created the following
residual plot.

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.