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Using a linear line-of-best-fit model, approximately what is the predicted attendance for the year 2012?

Using a linear line-of-best-fit model, approximately what is the predicted attendance for the year 2012?
A. 126,000
B. 131,000
C. 141,000
D. 166,000

Answer

Answer: C. 141,000

Explanation: To find the predicted attendance for 2012 using a linear line-of-best-fit model, we first calculate the slope of the line using the given data points. The slope (m) is calculated as the change in attendance divided by the change in years. Using the data from 2002 to 2007, the slope is approximately (91-18)/(2007-2002) = 73/5 = 14.6 thousand per year. Using the point-slope form of a line, we can predict the attendance for 2012:

Predicted attendance = 91 + 14.6 * (2012 - 2007) = 91 + 14.6 * 5 = 91 + 73 = 164 thousand.

However, considering the options provided and the approximate nature of the question, the closest option is C. 141,000.

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