Subjects statistics

Cd Sales Trend

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Cd Sales Trend


1. The problem asks us to estimate the number of CDs sold in 2006 based on the trend from 1999 to 2005 shown in the scatter plot. 2. From the description, the number of CDs sold decreases roughly linearly from about 925 million in 1999 to about 700 million in 2005. 3. Calculate the slope of the trend line: The change in CDs sold is $700 - 925 = -225$ million over $2005 - 1999 = 6$ years. 4. The slope (rate of change per year) is $$m = \frac{-225}{6} = -37.5$$ million CDs per year. 5. Using the point-slope form, estimate the 2006 value: Starting from 700 million in 2005, subtract 37.5 million for one more year. 6. Estimated CDs sold in 2006: $$700 - 37.5 = 662.5$$ million. 7. Therefore, about 663 million CDs were sold in 2006 if the trend continued.