1. Do this problem by hand. It is well known that many species of birds sing in the early morning. Certain species begin very early in the dawn, some sing slightly later, and some wait until the sun crowns the horizon. The range of time from first songs to last is usually more than 100 minutes. The staggering of avian choruses is widely known and was first documented more than 70 years ago. In the 1960s it was proposed that visual acuity determined by eye size governs when birds begin to sing. The hypothesis was the larger the eye the earlier in the twilight the species would begin to sing. To test this proposal 20 species of morning singing birds' eyes were measured with calipers and the time from first light to the beginning of the song was recorded. Do the data support the original hypothesis? (Calculate r and test whether there is a significant correlation).

Diameter	Time
9.2	5
9.0	8
9.0	11
8.9	10
8.8	10
8.7	17
8.6	14
8.4	20
7.5	25
7.2	18
6.8	30
6.7	35
6.7	40
6.5	48
5.9	50
5.8	47
5.5	65
4.3	70
4.2	68
4.0	75