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Correlation Coefficients


1) An environmentalist wants to determine the relationships between the numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned. The data for 8 recent years are shown. Describe the relationship.

Number of fires (x) 72 69 58 47 84 62 57 45
Number of Acres Burned (y) 62 42 19 26 51 15 30 15

2) The yearly data have been published showing the number of releases for each of the commercial movie studios and the gross receipts for those studios thus far. What is the correlation coefficient?

No. of releases (x) 361 270 306 22 35 10 8 12 21
Gross receipts (million $) (y)  3844 1962 1371 1064 334 241 188 154 125