The “Transylvania hypothesis” claims that the full moon has an effect on health-related behavior. A study investigating this effect found a significant relationship between the phase of the moon and the number of general practice consultations nationwide, given by

where y is the number of consultations as a percentage of the daily mean and t is the days since the last full moon.

(a) What is the period of this function? What is the significance of this period?
(b) There was a full moon on February 9, 2020. On what day in February 2020 does this formula predict the maximum number of consultations? What percent increase would be predicted for that day?
(c) What does the formula predict for February 26, 2020?

Transcribed Image Text:

y = 100+ 1.8 cos (t-6) 14.77