The accompanying data were read from graphs that appeared in an article. The variables shown are the number of acres burned in forest fires in the western United States and timber sales. Number of Timber Sales Acres Burned (billions of board feet) Year (thousands) 1945 207 1.9 1950 248 3.7 1955 251 4.4 1960 385 6.9 1965 87 9.6 1970 459 10.9 1975 170 11.1 1980 247 10.1 1985 441 10.1 1990 407 11.2 1995 178 3.8 (a) Compute the correlation coefficient. (Give the answer to three decimal places.) r = Is there a correlation between timber sales and acres burned in forest fires? strong positive correlation O weak positive correlation O strong negative correlation O weak negative correlation O no correlation (b) The article concludes that "heavier logging led to large forest fires." Do you think this conclusion is justified based on the given data? O Yes O No

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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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The accompanying data were read from graphs that appeared in an article. The variables shown are the number of acres burned in forest fires in the western United States and timber sales.
Number of
Timber Sales
Acres Burned (billions of
board feet)
Year (thousands)
1945
207
1.9
1950
248
3.7
1955
251
4.4
1960
385
6.9
1965
87
9.6
1970
459
10.9
1975
170
11.1
1980
247
10.1
1985
441
10.1
1990
407
11.2
1995
178
3.8
(a) Compute the correlation coefficient. (Give the answer to three decimal places.)
r =
Is there a correlation between timber sales and acres burned in forest fires?
strong positive correlation
O weak positive correlation
O strong negative correlation
O weak negative correlation
O no correlation
(b) The article concludes that "heavier logging led to large forest fires." Do you think this conclusion is justified based on the given data?
O Yes
O No
Transcribed Image Text:The accompanying data were read from graphs that appeared in an article. The variables shown are the number of acres burned in forest fires in the western United States and timber sales. Number of Timber Sales Acres Burned (billions of board feet) Year (thousands) 1945 207 1.9 1950 248 3.7 1955 251 4.4 1960 385 6.9 1965 87 9.6 1970 459 10.9 1975 170 11.1 1980 247 10.1 1985 441 10.1 1990 407 11.2 1995 178 3.8 (a) Compute the correlation coefficient. (Give the answer to three decimal places.) r = Is there a correlation between timber sales and acres burned in forest fires? strong positive correlation O weak positive correlation O strong negative correlation O weak negative correlation O no correlation (b) The article concludes that "heavier logging led to large forest fires." Do you think this conclusion is justified based on the given data? O Yes O No
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