A sleep specialist wants to know if meditating before you go to sleep can help you fall asleep. She conducted a study where people would record how many minutes they meditated before getting into bed and how many minutes it took them to fall asleep.

Question

Meditation Time Time to fall asleep
39 28
46 24
49 17
52 4
53 12


(4 points)
Use the Desmos Graphing Calculator (right-click and open in a new tab/window) to calculate the following:

r=

y=

x +

If someone was to mediate for 20 minutes, what would the regression line predict for the amount of time it would take for them to fall asleep?

Answer 1

r= -0.822
y= -0.822x + 56.8

If someone were to meditate for 20 minutes, the regression line would predict it would take them approximately 40.6 minutes to fall asleep.