The numbers of Winter Olympic medal events are shown in Table 10 for various years.

Let n be the number of Winter Olympic medal events at t years since 1980.
a. Identify the explanatory and response variables.
b. Construct a scatterplot by hand.
c. Is the association positive, negative, or neither? What does that mean in this situation?
d. Graph the model n = 1.88t + 33.75 by hand on the scatterplot. Does the line come close to the data points?
e. Use the model to estimate the number of medal events in 2010. Did you perform interpolation or extrapolation? Calculate the error in the estimate.

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Table 10 Numbers of Winter Olympic Medal Events Year Number of Medal Events 1988 1992 994 1998 2002 2006 2010 2014 46 57 61 68 78 84 86 98