Dying dice. One of the authors gathered data on dying dice, starting with 200, and used the rule that a die “lives” if it lands showing 1, 2, 3, or 4. Here are the results: 200 122 81 58 29 19 11 8 6 4 2 2

 a. Construct a scatterplot of the number of “live” dice versus the roll number.

b. Transform the number of live dice using natural logs, and construct a scatterplot of ln(dice) versus roll number.

 c. Fit a line by the least squares method, and use its slope to estimate the rate of dying.

 d. Plot residuals versus roll number, and describe the pattern.

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