A sociologist interested in the relationship between social class and amount of reading asked a sample of 105 children from varying socioeconomic backgrounds about the number of books they had read outside of school during the last year. For the following data, compute a gamma coefficient to determine the degree of association between socioeconomic status (X) and number of books read (Y), and indicate whether the relationship is significant.

Socioeconomic Status Lower Upper Number of Books Read Lower Middle Middle Upper None One More than one 15 12 4 12 6 10 9 10