2) For rare events, counts (even binomial counts for small p) are approximately Poisson: The variance of the Poisson varies with the mean, and the square root of the counts has stable variance. Regress the square root of the counts (Y) vs the distance from the marijuana plot and test if the slope is non-zero at the 0.01 level. Calculate a 95% prediction bound for the number of animals dead from the rat poison in miles. Test if the correlation is 0 at the 0.01 level.
Distance
1.5 miles
25 miles
3.5 miles
count
Sqrt count
2.2
Xbar =
Ybar =
S7y =
Syy = 18.43
Sxy = 9.43
SSE = 0.667