Is the data set approximately periodic? if so, what are its period and amplitude?

The correct option is:

      Periodic with period 3 and amplitude of about 7.5

Step-by-step explanation:

We are given a data set as:

Hour                     Number of bikes

1                                 5

2                                19

3                                14

4                                 4

5                                 19

6                                 15

7                                  6

8                                 22

9                                 15

10                                 5  

11                                 20

12                                 16

From this data set we could clearly observe that the values are periodic as it repeats after every 3rd value.

{(1,5), (2,19) , (3,14)} {(4,4),(5,19),(6,15)} {(7,6),(8,22),(9,15)} {(10,5),(11,20),(12,16)}

Also, the amplitude is the distance is calculated as:

( Since, amplitude is the distance of the maximum or minimum value from the mid-line)

for first set:

for second set:

for third set:

for fourth set:

Hence, approximately the amplitude is:

7.5

answer: it would most likely be y=6 and 5/7.

step-by-step explanation: